{"id":4986,"date":"2025-02-21T11:00:24","date_gmt":"2025-02-21T11:00:24","guid":{"rendered":"https:\/\/www.probool.com\/?p=4986"},"modified":"2025-03-25T13:52:05","modified_gmt":"2025-03-25T13:52:05","slug":"cusum-cumulative-sum-control-chart","status":"publish","type":"post","link":"https:\/\/www.probool.com\/?p=4986","title":{"rendered":"CUSUM (Cumulative Sum Control Chart)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4986\" class=\"elementor elementor-4986\">\n\t\t\t\t<div class=\"elementor-element elementor-element-faa44e3 e-flex e-con-boxed e-con e-parent\" data-id=\"faa44e3\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d35fd42 elementor-widget elementor-widget-text-editor\" data-id=\"d35fd42\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<script src=\"https:\/\/kit.fontawesome.com\/a076d05399.js\" crossorigin=\"anonymous\"><\/script>\n<style>\n.sub {vertical-align: sub; font-size: smaller;}\n.sup {vertical-align: sup; font-size: small;}\n.voltar {text-align: right;}\n.padleft{padding-left: 15px;}\n.wing01 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #0000ff; text-shadow: 1px 1px 1px #0000ff}\n.wing02 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #000000; text-shadow: 1px 1px 1px #000000}\n.wing03 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #ff0000; text-shadow: 1px 1px 1px #ff0000}\n.wing04 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #00ff00; text-shadow: 1px 1px 1px #00ff00}\n.wing05 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #000000; text-shadow: 1px 1px 1px #000000}\n.MsoNormal {margin-botton: 0px; Margin-top: 25px; padding-left: 15px;}\n.MsoNormal1 {margin-botton: 0px; Margin-top: 0px; padding-left: 10px;}\n.MsoNormal2 {margin-botton: 25px; Margin-top: 25px; padding-left: 0px}\n.azul1 {color: #0000ff;}\n.azul2 {color: #3333cc;}\n.azul3 {color: #000099;}\n.azul4 {color: #001f3f;}\n.verde1 {color: #006600;}\n.verde2 {color: #009999;}\n.verde3 {color: #33cc33;}\n.vermelho {color: #ff0000;}\n.preto {color: #000000;}\n.laranja {color: #f8981d;}\n.cinza {color: #999999;}\n.castanho1 {color: #663300;}\n.castanho2 {color: #996600;}\n.castanho3 {color: #cc6600;}\n.roxo {color: #990099;}\n.table, td {border: 1px solid black; border-collapse: collapse;}\n.table2, td {border: 0px ; border-collapse: collapse;}\n.sobrelinhado {position: relative; display: inline-block;}\n.sobrelinhado::before {content: \"\"; position: absolute; top: 0; left: 0; width: 100%; height: 1px; background-color: black; transform: translateY(-100%);}\n<\/style>\n\n<h4 id=\"indice\" class=\"MsoNormal\"><strong><span class=\"azul4\">\u00cdndice<\/span><\/strong><\/h4>\n<ul><a id=\"101\"><\/a><a href=\"#sec101\"><span class=\"azul2\"><u>Introdu\u00e7\u00e3o<\/u><\/span><\/a><\/ul>\n<ul><a id=\"102\"><\/a><a href=\"#sec102\"><span class=\"azul2\"><u>Aplicabilidade do Gr\u00e1fico CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"103\"><\/a><a href=\"#sec103\"><span class=\"azul2\"><u>Processos que Beneficiam com Gr\u00e1ficos CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"104\"><\/a><a href=\"#sec104\"><span class=\"azul2\"><u>Conceitos Te\u00f3ricos Fundamentais<\/u><\/span><\/a><\/ul>\n<ul><a id=\"105\"><\/a><a href=\"#sec105\"><span class=\"azul2\"><u>Interpreta\u00e7\u00e3o dos Gr\u00e1ficos CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"106\"><\/a><a href=\"#sec106\"><span class=\"azul2\"><u>An\u00e1lise de Tend\u00eancia num Gr\u00e1fico CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"107\"><\/a><a href=\"#sec107\"><span class=\"azul2\"><u>Limita\u00e7\u00f5es Pr\u00e1ticas do Gr\u00e1fico CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"108\"><\/a><a href=\"#sec108\"><span class=\"azul2\"><u>Estudo de Caso<\/u><\/span><\/a><\/ul>\n<ul><a id=\"109\"><\/a><a href=\"#sec109\"><span class=\"azul2\"><u>An\u00e1lise Detalhada do Gr\u00e1fico CUSUM<\/u><\/span><\/a><\/ul>\n<ul><a id=\"110\"><\/a><a href=\"#sec110\"><span class=\"azul2\"><u>Notas Finais<\/u><\/span><\/a><\/ul>\n\n<h4 id=\"sec101\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Introdu\u00e7\u00e3o<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>Os <strong><span class=\"preto\">Gr\u00e1ficos de Controlo<\/span><\/strong> representam uma das ferramentas mais poderosas e vers\u00e1teis no campo do <strong><span class=\"preto\">SPC<\/span><\/strong> (controlo estat\u00edstico de processos). Entre eles, destaca-se o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> (Cumulative Sum Control Chart) pela sua capacidade \u00fanica de detetar mudan\u00e7as pequenas e graduais em processos altamente sens\u00edveis e cr\u00edticos. <\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Este trabalho explora as principais caracter\u00edsticas, vantagens e aplica\u00e7\u00f5es pr\u00e1ticas deste gr\u00e1fico, evidenciando como ele complementa outras ferramentas mais tradicionais, como os <b>Gr\u00e1ficos X-barra e R<\/b>.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>O objetivo \u00e9 demonstrar como o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> pode ser aplicado para identificar desvios subtis que, se n\u00e3o forem corrigidos a tempo, podem comprometer a qualidade do produto e a efici\u00eancia do processo. <\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Atrav\u00e9s de um exemplo pr\u00e1tico detalhado, mostramos a relev\u00e2ncia da an\u00e1lise de tend\u00eancias e da tomada de decis\u00f5es proativa para garantir a conformidade com as especifica\u00e7\u00f5es e a satisfa\u00e7\u00e3o dos clientes.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Este estudo refor\u00e7a a import\u00e2ncia de selecionar a ferramenta de controlo estat\u00edstico mais adequada para cada situa\u00e7\u00e3o, considerando a natureza do processo e o tipo de varia\u00e7\u00f5es que se pretende monitorizar.<\/ul>\n<p class=\"voltar\"><a href=\"#101\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec102\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Aplicabilidade do Gr\u00e1fico CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Monitoriza\u00e7\u00e3o de Mudan\u00e7as Pequenas no Processo:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>\u00c9 ideal para identificar altera\u00e7\u00f5es graduais na m\u00e9dia ou na variabilidade do processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: pequenos desvios na espessura de folhas met\u00e1licas que podem acumular-se ao longo do tempo.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos com Elevada Estabilidade Inicial:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Em processos est\u00e1veis, as altera\u00e7\u00f5es podem ser pequenas e dif\u00edceis de identificar com gr\u00e1ficos tradicionais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: produ\u00e7\u00e3o de componentes eletr\u00f3nicos onde toler\u00e2ncias muito pequenas s\u00e3o cr\u00edticas.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Necessidade de Resposta R\u00e1pida:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>\u00c9 usado quando \u00e9 importante identificar mudan\u00e7as precocemente para evitar desvios significativos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: monitorizar a qualidade de bebidas para evitar varia\u00e7\u00f5es no sabor devido a altera\u00e7\u00f5es nos ingredientes.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Complemento de Gr\u00e1ficos Tradicionais:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 frequentemente utilizado em conjunto com outros gr\u00e1ficos, como <b>X-barra e R<\/b>, para oferecer maior sensibilidade.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#102\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec103\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Processos que Beneficiam com Gr\u00e1ficos CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 especialmente eficaz em identificar pequenas mudan\u00e7as gradativas (<b>< 1.5 \u03c3<\/b>) no processo, antes que elas se tornem significativas.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Produ\u00e7\u00e3o Cont\u00ednua<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: produ\u00e7\u00e3o ininterrupta onde pequenas mudan\u00e7as acumuladas podem gerar grandes impactos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Refina\u00e7\u00e3o de Petr\u00f3leo<\/span><\/strong>: controlo do teor de enxofre em combust\u00edveis refinados.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Produ\u00e7\u00e3o de Vidros<\/span><\/strong>: monitoriza\u00e7\u00e3o da espessura do vidro em linhas de produ\u00e7\u00e3o cont\u00ednuas.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Deteta rapidamente altera\u00e7\u00f5es na qualidade do produto devido a mudan\u00e7as nos par\u00e2metros operacionais.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Identifica varia\u00e7\u00f5es antes que grandes quantidades sejam afetadas.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos com Necessidade de Detetar Pequenas Mudan\u00e7as<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: pequenos deslocamentos na m\u00e9dia do processo podem afetar a qualidade ou desempenho do produto.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Ind\u00fastria Eletr\u00f3nica<\/span><\/strong>: monitoriza\u00e7\u00e3o da resist\u00eancia de circuitos eletr\u00f3nicos em processos de soldagem.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Ind\u00fastria de Embalagens<\/span><\/strong>: controlo do peso de recipientes pl\u00e1sticos durante o processo de moldagem por sopro.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Destaca pequenas altera\u00e7\u00f5es na resist\u00eancia ou peso que podem ser dif\u00edceis de identificar com gr\u00e1ficos tradicionais.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Permite corre\u00e7\u00f5es antes que os produtos saiam da especifica\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Inspe\u00e7\u00e3o de Qualidade<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: processos onde o controlo \u00e9 baseado na propor\u00e7\u00e3o de defeitos ou n\u00e3o conformidades.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Inspe\u00e7\u00e3o de Tintas e Revestimentos<\/span><\/strong>: monitoriza\u00e7\u00e3o de defeitos visuais (bolhas, falhas, fissuras) em lotes de produtos revestidos.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Ind\u00fastria Farmac\u00eautica<\/span><\/strong>: monitoriza\u00e7\u00e3o de part\u00edculas vis\u00edveis em frascos de medicamentos l\u00edquidos.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Identifica aumentos graduais na propor\u00e7\u00e3o de defeitos, permitindo a\u00e7\u00f5es antes de atingir limites cr\u00edticos.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ajuda a manter padr\u00f5es de qualidade rigorosos.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Controlo Ambiental<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: monitoriza\u00e7\u00e3o cont\u00ednua de par\u00e2metros ambientais cr\u00edticos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Tratamento de \u00c1guas<\/span><\/strong>: monitoriza\u00e7\u00e3o da turbidez ou do n\u00edvel de cloro na \u00e1gua tratada.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Monitoriza\u00e7\u00e3o do Ar em Ambientes Industriais<\/span><\/strong>: controlo da concentra\u00e7\u00e3o de part\u00edculas ou gases poluentes em ambientes industriais.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Deteta altera\u00e7\u00f5es lentas nos par\u00e2metros monitorizados, como deteriora\u00e7\u00e3o de filtros ou desvios no equipamento de dosagem.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Melhora a conformidade com padr\u00f5es ambientais.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Controlo de Produ\u00e7\u00e3o Automatizada<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: processos automatizados onde pequenos desvios podem comprometer a efici\u00eancia.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Ind\u00fastria Autom\u00f3vel<\/span><\/strong>: monitoriza\u00e7\u00e3o de for\u00e7as aplicadas em fixadores durante processos robotizados de montagem.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Ind\u00fastria de Bebidas<\/span><\/strong>: controlo da quantidade de g\u00e1s carb\u00f4nico em bebidas gaseificadas.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Permite ajuste autom\u00e1tico de equipamentos ao detetar tend\u00eancias no processo.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Reduz o desperd\u00edcio ao prevenir varia\u00e7\u00f5es significativas.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos Financeiros e de Gest\u00e3o de Recursos<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: monitoriza\u00e7\u00e3o de indicadores financeiros ou de efici\u00eancia operacional.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Monitoriza\u00e7\u00e3o de Custos Operacionais<\/span><\/strong>: controlo de custos em projetos de manufatura.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Gest\u00e3o de Invent\u00e1rios<\/span><\/strong>: an\u00e1lise de desvios em volumes de stock em rela\u00e7\u00e3o ao esperado.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ajuda a detetar pequenas altera\u00e7\u00f5es nos custos ou nos n\u00edveis de invent\u00e1rio que podem indicar problemas estruturais.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Controlo em Transporte<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: processos com variabilidade regular, mas onde deslocamentos podem indicar problemas cr\u00edticos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Log\u00edstica e Cadeia de Abastecimento<\/span><\/strong>: monitoriza\u00e7\u00e3o do tempo m\u00e9dio de entrega de mercadorias.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Manuten\u00e7\u00e3o de Ve\u00edculos Pesados<\/span><\/strong>: controlo de consumo de combust\u00edvel por quil\u00f4metro percorrido.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Deteta tend\u00eancias como aumento nos tempos de entrega ou efici\u00eancia reduzida em ve\u00edculos, permitindo manuten\u00e7\u00e3o preventiva.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Processos de Manuten\u00e7\u00e3o Preditiva<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Caracter\u00edsticas<\/span><\/strong>: uso de dados cont\u00ednuos para prever falhas em equipamentos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Monitoriza\u00e7\u00e3o de M\u00e1quinas CNC<\/span><\/strong>: controlo do desgaste de ferramentas baseado na precis\u00e3o das pe\u00e7as produzidas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Monitoriza\u00e7\u00e3o de Turbinas E\u00f3licas<\/span><\/strong>: controlo de vibra\u00e7\u00f5es ou desempenho de rota\u00e7\u00e3o para prever falhas.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Benef\u00edcio do CUSUM:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>: identifica sinais precoces de desgaste ou deteriora\u00e7\u00e3o, permitindo interven\u00e7\u00f5es planejadas.<\/ul><\/ul><\/ul>\n\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"40%\" height=\"40\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Resumo: Caracter\u00edsticas dos Processos que Beneficiam do CUSUM<\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Caracter\u00edstica do Processo<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Exemplo de Aplica\u00e7\u00e3o<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Benef\u00edcio do CUSUM<\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o cont\u00ednua<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Refinarias, produ\u00e7\u00e3o de vidros<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Deteta altera\u00e7\u00f5es antes de grandes impactos<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Necessidade de detetar pequenas mudan\u00e7as<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Ind\u00fastria eletr\u00f3nica, embalagens<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Ajustes r\u00e1pidos antes de sair da especifica\u00e7\u00e3o<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Inspe\u00e7\u00e3o de qualidade<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Tintas, medicamentos<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Redu\u00e7\u00e3o de defeitos acumulados<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Controlo ambiental<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Tratamento de \u00e1gua, monitoriza\u00e7\u00e3o do ar<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Conformidade com regulamentos<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o automatizada<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Montagem autom\u00f3vel, bebidas gaseificadas<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Ajustes autom\u00e1ticos para maior efici\u00eancia<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Controlo financeiro e operacional<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Custos, invent\u00e1rio<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Identifica\u00e7\u00e3o de problemas estruturais<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Transporte e log\u00edstica<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Tempo de entrega, consumo de combust\u00edvel<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Otimiza\u00e7\u00e3o da efici\u00eancia e redu\u00e7\u00e3o de custos<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Manuten\u00e7\u00e3o preditiva<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">CNC, turbinas e\u00f3licas<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Preven\u00e7\u00e3o de falhas cr\u00edticas<\/font><\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n\n<ul><span class=\"MsoNormal2\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 particularmente \u00fatil em <strong><span class=\"castanho1\">processos cont\u00ednuos<\/span><\/strong>, <strong><span class=\"castanho1\">altamente automatizados<\/span><\/strong> ou <strong><span class=\"castanho1\">cr\u00edticos<\/span><\/strong>, onde pequenas altera\u00e7\u00f5es podem ter grandes impactos ao longo do tempo. A sua sensibilidade permite intervir rapidamente, evitando perdas significativas ou falhas maiores. <\/ul>\n<p class=\"voltar\"><a href=\"#103\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec104\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Conceitos Te\u00f3ricos Fundamentais<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Dados Necess\u00e1rios<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">X<sub>i<\/sub><\/span><\/strong> : dados observados no processo (ex.: medi\u00e7\u00f5es ou contagens).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">\u03bc<sub>0<\/sub><\/span><\/strong> : m\u00e9dia de refer\u00eancia do processo (valor esperado ou desejado).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">\u03c3<\/span><\/strong> : desvio padr\u00e3o do processo, utilizado para normalizar os desvios.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">C\u00e1lculo do Somat\u00f3rio Cumulativo (CUSUM)<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"azul2\">CUSUM<\/span><\/strong> \u00e9 o somat\u00f3rio cumulativo das diferen\u00e7as entre cada valor observado (<strong><span class=\"preto\">X<sub>i<\/sub><\/span><\/strong>) e a m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong>):<\/ul>\n<table width=\"100%\" height=\"65\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_01.png\" width=\"138\" height=\"55\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">S<sub>i<\/sub><\/span><\/strong> : valor do <strong><span class=\"azul2\">CUSUM<\/span><\/strong> cumulativo na i-n\u00e9sima amostra.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">X<sub>j<\/sub><\/span><\/strong> : valor da j-n\u00e9sima amostra.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong> : m\u00e9dia de refer\u00eancia.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Forma Padronizada do CUSUM<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Para melhorar a interpreta\u00e7\u00e3o e sensibilidade, o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 frequentemente representado em forma padronizada:<\/ul>\n<table width=\"100%\" height=\"65\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_02.png\" width=\"142\" height=\"52\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Este formato ajusta as diferen\u00e7as para a variabilidade natural do processo (<strong><span class=\"preto\">\u03c3<\/span><\/strong>).<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Gr\u00e1fico CUSUM com Dire\u00e7\u00e3o (Positivo e Negativo)<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"azul2\">CUSUM<\/span><\/strong> pode ser dividido em duas componentes para monitorizar desvios positivos e negativos separadamente:<\/ul>\n<table width=\"100%\" height=\"65\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_03.png\" width=\"269\" height=\"55\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">C<sup>+<\/sup><sub>i<\/sub><\/span><\/strong> : dados observados no processo (ex.: medi\u00e7\u00f5es ou contagens).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">C<sup>&#8211;<\/sup><sub>0<\/sub><\/span><\/strong> : m\u00e9dia de refer\u00eancia do processo (valor esperado ou desejado).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">K<\/span><\/strong> : desvio padr\u00e3o do processo, utilizado para normalizar os desvios.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Linha de Refer\u00eancia e Limites<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Linha Central (S<sub>i<\/sub>=0)<\/span><\/strong>: representa o ponto em que n\u00e3o h\u00e1 desvio acumulado do processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Limites de Controlo (H)<\/span><\/strong>: determinados pelo desvio padr\u00e3o (<strong><span class=\"preto\">\u03c3<\/span><\/strong>) e o fator de decis\u00e3o (<strong><span class=\"preto\">h<\/span><\/strong>):<\/ul><\/ul>\n<table width=\"100%\" height=\"25\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"25\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_04.png\" width=\"101\" height=\"15\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Onde <strong><span class=\"preto\">h<\/span><\/strong> \u00e9 um multiplicador escolhido com base no n\u00edvel de sensibilidade desejado.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Calcular os Limites Ajustados<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Os limites ajustados s\u00e3o calculados em fun\u00e7\u00e3o da toler\u00e2ncia e do somat\u00f3rio cumulativo:<\/ul>\n<table width=\"100%\" height=\"65\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"50\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_05.png\" width=\"167\" height=\"55\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">UCL<sub>Ajustado<\/sub><\/span><\/strong> : Limite Superior ajustado<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">LCL<sub>Ajustado<\/sub><\/span><\/strong> : Limite Inferior ajustado<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">T<\/span><\/strong> : Toler\u00e2ncia Especificada (<strong><span class=\"preto\">\u00b1 0.005 mm<\/span><\/strong>)<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">H<\/span><\/strong> : Limite de Controlo. Determinado pela configura\u00e7\u00e3o do gr\u00e1fico.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Vantagens do Gr\u00e1fico CUSUM<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Sensibilidade<\/span><\/strong>: deteta pequenas mudan\u00e7as mais rapidamente do que gr\u00e1ficos convencionais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Versatilidade<\/span><\/strong>: pode ser usado para monitorizar tanto m\u00e9dias quanto variabilidades.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">F\u00e1cil Integra\u00e7\u00e3o<\/span><\/strong>: complementa outras ferramentas de controlo estat\u00edstico.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">UCL<sub>Ajustado<\/sub> e LCL<sub>Ajustado<\/sub> s\u00e3o, na pr\u00e1tica, considerados o dobro da toler\u00e2ncia de desenho<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Vejamos a justifica\u00e7\u00e3o te\u00f3rica:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Margem para Variabilidade do Processo:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>A toler\u00e2ncia de desenho \u00e9 geralmente baseada nas especifica\u00e7\u00f5es funcionais do produto final (por exemplo, dimens\u00f5es cr\u00edticas para o desempenho).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Os limites de controlo ajustados fornecem uma margem adicional para considerar:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Pequenas flutua\u00e7\u00f5es naturais do processo que n\u00e3o comprometem a qualidade.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Efeitos de erros de medi\u00e7\u00e3o ou varia\u00e7\u00f5es ambientais.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Preven\u00e7\u00e3o de Rejei\u00e7\u00f5es Desnecess\u00e1rias:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Se os limites de controlo forem iguais \u00e0 toler\u00e2ncia de desenho, mesmo pequenas varia\u00e7\u00f5es do processo podem levar a rejei\u00e7\u00f5es desnecess\u00e1rias.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ao ajustar os limites de controlo (geralmente o dobro da toler\u00e2ncia), evita-se rejeitar produtos que ainda est\u00e3o funcionais e dentro das especifica\u00e7\u00f5es reais.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Correla\u00e7\u00e3o com Capacidade do Processo (C<sub>p<\/sub>):<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Um processo com limites de controlo ajustados ao dobro da toler\u00e2ncia tem um \u00edndice de capacidade <strong><span class=\"preto\">C<sub>p<\/sub> = 1<\/span><\/strong>, o que indica um processo apenas capaz de atender aos requisitos de qualidade, mas sem margem adicional.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Processos bem controlados visam valores de <strong><span class=\"preto\">C<sub>p<\/sub> > 1<\/span><\/strong>, o que torna o uso de limites ajustados uma pr\u00e1tica conservadora e funcional.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Monitoriza\u00e7\u00e3o do Processo:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Limites mais amplos permitem identificar tend\u00eancias e mudan\u00e7as sistem\u00e1ticas antes que o processo ultrapasse os limites de toler\u00e2ncia de desenho.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Isto d\u00e1 tempo para interven\u00e7\u00f5es corretivas, evitando a produ\u00e7\u00e3o de pe\u00e7as fora de especifica\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Custo-Benef\u00edcio:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Definir limites ajustados mais amplos reduz custos com ajustes desnecess\u00e1rios no processo e minimiza a taxa de rejei\u00e7\u00e3o de pe\u00e7as que, funcionalmente, ainda s\u00e3o aceit\u00e1veis.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>\u00c9 uma abordagem pragm\u00e1tica para balancear controle e produtividade.<\/ul><\/ul><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Os limites ajustados definidos como o dobro da toler\u00e2ncia de desenho s\u00e3o uma pr\u00e1tica conservadora que combina variabilidade do processo, custo-benef\u00edcio e previsibilidade estat\u00edstica. Estes limites ajudam a equilibrar a necessidade de qualidade com a realidade da variabilidade em qualquer processo produtivo.<\/ul>\n<p class=\"voltar\"><a href=\"#104\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec105\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Interpreta\u00e7\u00e3o dos Gr\u00e1ficos CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">CUSUM Pr\u00f3ximo de Zero<\/span><\/strong>: indica que o processo est\u00e1 a operar de acordo com a m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong>).<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">CUSUM Positivo Crescente<\/span><\/strong>: sinaliza um aumento gradual nos valores observados (<strong><span class=\"preto\">X<sub>i<\/sub> > \u03bc<sub>0<\/sub><\/span><\/strong>).<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">CUSUM Negativo Crescente<\/span><\/strong>: indica uma redu\u00e7\u00e3o gradual nos valores observados (<strong><span class=\"preto\">X<sub>i<\/sub> < \u03bc0<\/span><\/strong>).<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">CUSUM Ultrapassando os Limites (H)<\/span><\/strong>: sinaliza uma mudan\u00e7a significativa no processo, que deve ser investigada.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 uma ferramenta poderosa para identificar mudan\u00e7as graduais em processos est\u00e1veis. Sua aplica\u00e7\u00e3o \u00e9 essencial em contextos onde a qualidade \u00e9 cr\u00edtica e altera\u00e7\u00f5es pequenas podem ter impacto significativo. Ao combinar sensibilidade e precis\u00e3o, o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> complementa outras metodologias de controlo estat\u00edstico e permite uma monitoriza\u00e7\u00e3o proativa e eficaz.<\/ul>\n<p class=\"voltar\"><a href=\"#105\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec106\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">An\u00e1lise de Tend\u00eancia num Gr\u00e1fico CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>A an\u00e1lise de tend\u00eancia num <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> consiste em interpretar o somat\u00f3rio cumulativo das diferen\u00e7as entre os valores observados e uma m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong>). Esta ferramenta \u00e9 particularmente \u00fatil para <b>identificar mudan\u00e7as subtis e progressivas no processo<\/b>, que podem n\u00e3o ser evidentes em gr\u00e1ficos tradicionais.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">O que \u00e9 uma Tend\u00eancia no Gr\u00e1fico CUSUM?<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>No <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>, uma tend\u00eancia \u00e9 identificada pela forma como os valores acumulados (<strong><span class=\"preto\">S<sub>i<\/sub>, C<sub>i<\/sub><sup>+<\/sup>, ou C<sub>i<\/sub><sup>\u2212<\/sup><\/span><\/strong>) se comportam ao longo do tempo:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Tend\u00eancia Crescente:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">CUSUM<\/span><\/strong> aumenta continuamente em dire\u00e7\u00e3o positiva.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Indica um aumento progressivo nos valores observados em rela\u00e7\u00e3o \u00e0 m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong>).<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Tend\u00eancia Decrescente:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">CUSUM<\/span><\/strong> diminui continuamente em dire\u00e7\u00e3o negativa.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Indica uma redu\u00e7\u00e3o gradual nos valores observados em rela\u00e7\u00e3o \u00e0 m\u00e9dia de refer\u00eancia.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Oscila\u00e7\u00f5es:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Altern\u00e2ncia regular entre aumento e diminui\u00e7\u00e3o do <strong><span class=\"azul2\">CUSUM<\/span><\/strong>.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Indica varia\u00e7\u00f5es c\u00edclicas ou sazonais no processo.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Estabilidade:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">CUSUM<\/span><\/strong> oscila ao redor de zero sem desvios prolongados.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Indica que o processo est\u00e1 sob controlo estat\u00edstico.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Interpreta\u00e7\u00e3o de Tend\u00eancias no Gr\u00e1fico CUSUM<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Tend\u00eancia Crescente<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Descri\u00e7\u00e3o<\/span><\/strong>: os valores acumulados sobem consistentemente acima da linha central (<strong><span class=\"preto\">S<sub>i<\/sub> = 0<\/span><\/strong>).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Causas Prov\u00e1veis:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Aumento gradual nos valores do processo (ex.: desgaste de m\u00e1quinas ou ferramentas).<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Melhoria cont\u00ednua na qualidade, se o aumento for desejado.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">A\u00e7\u00e3o<\/span><\/strong>: verificar a origem da mudan\u00e7a e, se necess\u00e1rio, realizar ajustes no processo.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: o di\u00e2metro de componentes met\u00e1licos aumenta lentamente devido ao desgaste progressivo de ferramentas de corte.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Tend\u00eancia Decrescente<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Descri\u00e7\u00e3o<\/span><\/strong>: os valores acumulados descem consistentemente abaixo da linha central (<strong><span class=\"preto\">S<sub>i<\/sub> = 0<\/span><\/strong>).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Causas Prov\u00e1veis:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Redu\u00e7\u00e3o gradual nos valores do processo (ex.: qualidade decrescente das mat\u00e9rias-primas).<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Altera\u00e7\u00f5es no ambiente ou procedimentos de opera\u00e7\u00e3o.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">A\u00e7\u00e3o<\/span><\/strong>: investigar as causas da redu\u00e7\u00e3o e implementar medidas corretivas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: a espessura de folhas met\u00e1licas diminui gradualmente devido \u00e0 falta de calibragem em m\u00e1quinas de laminagem.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Oscila\u00e7\u00f5es ou Padr\u00f5es C\u00edclicos<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> alterna entre valores positivos e negativos em intervalos regulares.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Causas Prov\u00e1veis:<\/span><\/strong>: diferen\u00e7as entre turnos, sazonais ou ambientais (ex.: temperatura, humidade).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">A\u00e7\u00e3o<\/span><\/strong>: estabilizar os fatores que causam as oscila\u00e7\u00f5es ou ajustar procedimentos para reduzir o impacto.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>+: o n\u00famero de defeitos aumenta durante o turno da noite devido \u00e0 falta de supervis\u00e3o, mas diminui nos turnos da manh\u00e3.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Estabilidade<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> oscila ligeiramente em torno de zero sem mostrar tend\u00eancias claras.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Causas Prov\u00e1veis:<\/span><\/strong>: variabilidade natural do processo sem a presen\u00e7a de causas especiais.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">A\u00e7\u00e3o<\/span><\/strong>: nenhuma a\u00e7\u00e3o necess\u00e1ria, mas continuar a monitorizar o processo.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: pequenas flutua\u00e7\u00f5es na espessura de folhas met\u00e1licas devido \u00e0 variabilidade normal do material.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Etapas para Desenvolver a An\u00e1lise de Tend\u00eancias<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Passo 1: Observar o Gr\u00e1fico<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Identificar se o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> apresenta tend\u00eancias ascendentes, descendentes, ou oscila\u00e7\u00f5es regulares.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Passo 2: Determinar a Signific\u00e2ncia das Tend\u00eancias<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Comparar o comportamento do <strong><span class=\"azul2\">CUSUM<\/span><\/strong> com os limites de controlo (<strong><span class=\"preto\">H<\/span><\/strong>):<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Se o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> se aproxima ou ultrapassa <strong><span class=\"preto\">H<\/span><\/strong>, h\u00e1 evid\u00eancia de uma mudan\u00e7a significativa.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Passo 3: Investigar a Causa<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Realizar inspe\u00e7\u00f5es ou an\u00e1lises para identificar poss\u00edveis causas das tend\u00eancias observadas:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Fatores mec\u00e2nicos<\/span><\/strong>: desgaste ou falta de calibra\u00e7\u00e3o de m\u00e1quinas.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Fatores humanos<\/span><\/strong>: diferen\u00e7as de desempenho entre turnos.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Fatores ambientais<\/span><\/strong>: mudan\u00e7as de temperatura ou humidade.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Passo 4: Implementar A\u00e7\u00f5es Corretivas<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ap\u00f3s identificar as causas, tomar medidas para corrigir o problema:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Ajustar m\u00e1quinas ou calibrar ferramentas.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Melhorar a supervis\u00e3o ou treinamento dos operadores.<\/ul><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Exemplos de Aplica\u00e7\u00e3o<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Exemplo 1: Tend\u00eancia Crescente<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Cen\u00e1rio<\/span><\/strong>: monitoriza\u00e7\u00e3o da espessura de folhas met\u00e1licas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Observa\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> aumenta continuamente.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Causa<\/span><\/strong>: desgaste progressivo dos cilindros de laminagem.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">A\u00e7\u00e3o<\/span><\/strong>: substituir os cilindros e implementar manuten\u00e7\u00e3o preventiva.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Exemplo 2: Tend\u00eancia Decrescente<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Cen\u00e1rio<\/span><\/strong>: monitoriza\u00e7\u00e3o de defeitos em componentes pintados.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Observa\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> desce continuamente.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Causa<\/span><\/strong>: qualidade inferior das tintas utilizadas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">A\u00e7\u00e3o<\/span><\/strong>: rever o processo de compras e especifica\u00e7\u00f5es do fornecedor.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Exemplo 3: Oscila\u00e7\u00f5es<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Cen\u00e1rio<\/span><\/strong>: monitoriza\u00e7\u00e3o do tempo de produ\u00e7\u00e3o em diferentes turnos.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Observa\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> alterna entre subidas e descidas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Causa<\/span><\/strong>: diferen\u00e7as de experi\u00eancia entre os operadores dos turnos.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">A\u00e7\u00e3o<\/span><\/strong>: uniformizar os m\u00e9todos de trabalho e refor\u00e7ar o treinamento.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Recomenda\u00e7\u00f5es<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Curto Prazo<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Realizar inspe\u00e7\u00f5es imediatas em pontos cr\u00edticos para verificar desvios detetados.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ajustar m\u00e1quinas ou rever mat\u00e9rias-primas problem\u00e1ticas.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">M\u00e9dio Prazo<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Estabelecer planos de manuten\u00e7\u00e3o preventiva.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Implementar treinamentos regulares para operadores e supervisores.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Longo Prazo<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Automatizar a recolha de dados e gera\u00e7\u00e3o do <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Adotar metodologias de melhoria cont\u00ednua, como Lean ou Six Sigma, para reduzir a variabilidade do processo.<\/ul><\/ul><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>A an\u00e1lise de tend\u00eancias num <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 uma ferramenta poderosa para detetar mudan\u00e7as graduais no processo. Ela permite uma interven\u00e7\u00e3o precoce, reduzindo desperd\u00edcios e melhorando a qualidade. O sucesso dessa an\u00e1lise depende de uma observa\u00e7\u00e3o cuidadosa das tend\u00eancias, da identifica\u00e7\u00e3o precisa das causas e da implementa\u00e7\u00e3o de medidas corretivas adequadas.<\/ul>\n<p class=\"voltar\"><a href=\"#106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec107\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Limita\u00e7\u00f5es Pr\u00e1ticas do Gr\u00e1fico CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> \u00e9 uma ferramenta eficaz para detetar mudan\u00e7as pequenas e graduais em processos, mas, como qualquer ferramenta estat\u00edstica, possui limita\u00e7\u00f5es que podem restringir sua aplica\u00e7\u00e3o em determinados contextos. <\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Sensibilidade Excessiva a Ru\u00eddo ou Varia\u00e7\u00f5es Naturais<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> \u00e9 altamente sens\u00edvel a pequenas altera\u00e7\u00f5es, o que pode levar \u00e0 identifica\u00e7\u00e3o de desvios n\u00e3o significativos, resultando em falsos alarmes.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: pode gerar investiga\u00e7\u00e3o desnecess\u00e1ria em casos de varia\u00e7\u00f5es naturais do processo, aumentando custos operacionais e atrasos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: monitorizar um processo com varia\u00e7\u00e3o natural de <strong><span class=\"preto\">\u00b1 0.2 mm<\/span><\/strong> em torno de uma m\u00e9dia. Pequenas flutua\u00e7\u00f5es normais podem ser interpretadas como desvios significativos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: ajustar os par\u00e2metros de decis\u00e3o (k e h) para reduzir a sensibilidade ou utilizar <strong><span class=\"preto\">Gr\u00e1ficos EWMA<\/span><\/strong> (Exponentially Weighted Moving Average), que s\u00e3o menos suscet\u00edveis a ru\u00eddo.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Necessidade de Par\u00e2metros Precisos<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o Gr\u00e1fico CUSUM exige que os valores da m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub><\/span><\/strong>) e do desvio padr\u00e3o (<strong><span class=\"preto\">\u03c3<\/span><\/strong>) sejam conhecidos e precisos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: se esses par\u00e2metros forem incorretos ou desatualizados, o gr\u00e1fico pode produzir resultados enganadores, falhando em detetar mudan\u00e7as reais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: em processos com flutua\u00e7\u00f5es sazonais, uma m\u00e9dia de refer\u00eancia fixa pode n\u00e3o refletir as condi\u00e7\u00f5es reais do processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: utilizar m\u00e9todos din\u00e2micos para ajustar os par\u00e2metros com base em dados hist\u00f3ricos recentes ou combinar o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> com <strong><span class=\"preto\">an\u00e1lises de s\u00e9ries temporais<\/span><\/strong>.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Dificuldade em Interpretar Altera\u00e7\u00f5es Tempor\u00e1rias<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> acumula desvios ao longo do tempo, o que pode mascarar mudan\u00e7as tempor\u00e1rias ou eventos transit\u00f3rios no processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: problemas moment\u00e2neos, como uma falha de equipamento tempor\u00e1ria, podem n\u00e3o ser facilmente identificados.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: um defeito transit\u00f3rio causado por falha em uma m\u00e1quina durante um \u00fanico turno pode ser dilu\u00eddo no somat\u00f3rio cumulativo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: complementar o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> com gr\u00e1ficos tradicionais, como X-barra e R, para identificar eventos pontuais.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Complexidade Computacional e de Configura\u00e7\u00e3o<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: a implementa\u00e7\u00e3o e interpreta\u00e7\u00e3o do <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> podem ser mais complexas do que gr\u00e1ficos tradicionais, especialmente para operadores com forma\u00e7\u00e3o b\u00e1sica em estat\u00edstica.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: a complexidade pode dificultar sua aceita\u00e7\u00e3o e utiliza\u00e7\u00e3o pr\u00e1tica em ambientes industriais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: em uma linha de produ\u00e7\u00e3o com operadores n\u00e3o familiarizados com conceitos estat\u00edsticos, interpretar <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> pode ser desafiador.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: fornecer forma\u00e7\u00e3o adequada e automatizar o c\u00e1lculo e a visualiza\u00e7\u00e3o dos gr\u00e1ficos com software especializado.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Limita\u00e7\u00e3o em Processos Altamente Vari\u00e1veis<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> \u00e9 menos eficaz em processos com alta variabilidade natural, onde as flutua\u00e7\u00f5es podem mascarar desvios reais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: pode ser dif\u00edcil distinguir entre varia\u00e7\u00f5es naturais e altera\u00e7\u00f5es significativas no processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: monitorizar defeitos em processos artesanais, onde cada lote apresenta caracter\u00edsticas \u00fanicas, pode resultar em alarmes frequentes e desnecess\u00e1rios.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: utilizar gr\u00e1ficos de controlo tradicionais com limites adaptativos, ajustados para a variabilidade de cada lote.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Pouco Eficaz para Grandes Altera\u00e7\u00f5es<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> \u00e9 projetado para detetar altera\u00e7\u00f5es pequenas e graduais; mudan\u00e7as significativas s\u00e3o mais bem identificadas por gr\u00e1ficos tradicionais.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: pode n\u00e3o ser a melhor escolha para processos onde grandes desvios precisam ser rapidamente identificados.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: uma altera\u00e7\u00e3o repentina na temperatura de uma m\u00e1quina que resulta em defeitos imediatos seria identificada mais rapidamente por um <strong><span class=\"preto\">Gr\u00e1fico X-barra ou R<\/span><\/strong>.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: usar <strong><span class=\"preto\">Gr\u00e1ficos X-barra e R<\/span><\/strong> para grandes altera\u00e7\u00f5es e <strong><span class=\"azul2\">CUSUM<\/span><\/strong> para mudan\u00e7as subtis.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Inadequa\u00e7\u00e3o em Processos N\u00e3o Estacion\u00e1rios<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> assume que o processo \u00e9 estacion\u00e1rio, com uma m\u00e9dia e desvio padr\u00e3o consistentes ao longo do tempo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: em processos n\u00e3o estacion\u00e1rios, como aqueles sujeitos a sazonalidade ou mudan\u00e7as programadas, o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> pode produzir resultados inconsistentes.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: um processo de colheita agr\u00edcola onde a qualidade do produto varia ao longo das esta\u00e7\u00f5es pode gerar desvios cumulativos irrelevantes.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: aplicar modelos de s\u00e9ries temporais ou gr\u00e1ficos adaptativos que ajustem os par\u00e2metros de refer\u00eancia dinamicamente.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Falta de Prioriza\u00e7\u00e3o de Causas<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Descri\u00e7\u00e3o<\/span><\/strong>: o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> indica que uma mudan\u00e7a ocorreu, mas n\u00e3o fornece informa\u00e7\u00f5es sobre a origem ou a gravidade das causas.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Impacto<\/span><\/strong>: a an\u00e1lise e resolu\u00e7\u00e3o de problemas podem ser demoradas, pois requerem investiga\u00e7\u00e3o adicional.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplo<\/span><\/strong>: um aumento cumulativo pode ser causado por v\u00e1rios fatores (mat\u00e9rias-primas, operadores ou ambiente), mas o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> n\u00e3o indica qual \u00e9 o principal.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Alternativa<\/span><\/strong>: combinar o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> com ferramentas de an\u00e1lise, como o <strong><span class=\"preto\">Diagrama de Pareto<\/span><\/strong> ou de <strong><span class=\"preto\">Ishikawa<\/span><\/strong>, para identificar e priorizar causas.<\/ul><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Embora o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> seja altamente eficaz para detetar mudan\u00e7as pequenas e graduais, suas limita\u00e7\u00f5es pr\u00e1ticas devem ser consideradas ao aplic\u00e1-lo. Para superar essas limita\u00e7\u00f5es:<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Sensibilidade e par\u00e2metros<\/span><\/strong>: ajustar os valores de <strong><span class=\"preto\">k<\/span><\/strong> e <strong><span class=\"preto\">h<\/span><\/strong> para reduzir falsos alarmes.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Complementaridade<\/span><\/strong>: usar gr\u00e1ficos tradicionais ou ferramentas de <strong><span class=\"preto\">An\u00e1lise como Pareto<\/span><\/strong> e <strong><span class=\"preto\">Ishikawa<\/span><\/strong>.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Automatiza\u00e7\u00e3o<\/span><\/strong>: implementar software para c\u00e1lculo e visualiza\u00e7\u00e3o, facilitando a interpreta\u00e7\u00e3o.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Forma\u00e7\u00e3o<\/span><\/strong>: capacitar operadores e gestores para compreender e aplicar corretamente o <strong><span class=\"azul2\">CUSUM<\/span><\/strong>.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Com essas estrat\u00e9gias, o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> pode ser integrado de forma eficaz em sistemas de controlo de qualidade, contribuindo para a melhoria cont\u00ednua dos processos.<\/ul>\n<p class=\"voltar\"><a href=\"#107\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec108\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Estudo de Caso<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span><span class=\"azul3\">Estudar as mudan\u00e7as graduais e progressivas no desempenho de uma broca de uma m\u00e1quina CNC para realizar furos de <b>10 mm<\/b> de di\u00e2metro com uma toler\u00e2ncia de <b>\u00b1 0.005 mm<\/b>. Para o efeito foram controlados os di\u00e2metros dos furos realizados obtendo-se os seguintes resultados apresentados em tabela:<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Constru\u00e7\u00e3o do Gr\u00e1fico<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">CUSUM (Somat\u00f3rio Cumulativo)<\/span><\/strong>: monitoriza os desvios acumulados no di\u00e2metro dos furos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Limites de Toler\u00e2ncia \u00b1 0.005 mm)<\/span><\/strong>: representados em vermelho.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Limites Ajustados (UCLAjustado = + 0.01 mm, LCLAjustado =  \u2212 0.01 mm)<\/span><\/strong>:representados em roxo, que antecipam desvios acumulados antes de violar diretamente as toler\u00e2ncias.<\/ul><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Este gr\u00e1fico facilita a identifica\u00e7\u00e3o de tend\u00eancias e mudan\u00e7as no processo antes que estas afetem a conformidade com as toler\u00e2ncias especificadas.<\/ul>\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"40%\" height=\"60\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Resumo: Caracter\u00edsticas dos Processos que Beneficiam do CUSUM<\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Amostra<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Leitura<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Amostra<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Leitura<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Amostra<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Leitura<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Amostra<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Leitura<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Amostra<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Leitura<\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0025<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0010<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0031<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0037<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9993<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9908<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0090<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0014<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0063<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0032<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9940<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9881<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9922<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9962<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0076<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0053<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0017<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9958<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9988<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0043<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0021<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0050<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9988<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0015<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9997<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0141<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0039<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,008<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0001<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0018<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0009<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0038<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0039<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9992<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9914<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0034<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0042<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9978<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9933<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0002<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0017<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9991<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0028<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9971<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0031<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9961<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0037<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9978<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9984<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0087<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0076<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0040<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9978<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0060<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9987<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0057<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">26<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9989<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0014<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0025<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9974<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0060<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0119<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9906<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9920<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9989<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9975<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0050<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9916<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0024<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0060<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0090<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9966<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9974<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9989<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0030<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9950<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0059<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9951<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9974<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9988<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0049<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9977<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0018<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0039<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0040<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0130<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">27<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0065<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9958<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0061<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0020<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9971<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0085<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9932<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0056<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0063<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9993<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9986<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0076<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9967<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9980<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0026<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0075<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9992<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9994<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9999<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9996<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0048<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0006<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0026<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9995<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9943<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0068<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9932<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0058<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9942<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0024<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">28<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0122<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9977<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9986<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0031<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9969<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0010<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0001<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0029<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0046<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9990<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9946<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9955<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9976<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9984<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0023<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9950<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0004<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0099<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9987<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9974<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0051<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9945<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9983<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0024<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9989<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0078<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9995<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0006<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">29<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0045<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9975<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0007<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0064<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0043<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0098<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0061<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9977<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9961<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0070<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0004<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0029<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0009<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0034<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0030<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9952<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9979<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0037<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0088<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0102<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0046<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0029<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0111<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9943<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0016<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,9944<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0088<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0026<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0032<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">30<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"10%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,0165<\/font><\/td>\n  <\/tr>\n<\/table>\n\n<h4 class=\"MsoNormal\"><strong><span class=\"azul3\">Representa\u00e7\u00e3o Gr\u00e1fica<\/span><\/strong><\/h4>\n<table width=\"100%\" height=\"570\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/01\/Grafico_CUSUM_06.png\" width=\"1082\" height=\"560\" \/><\/div><\/td><\/tr>\n<\/table>\n<br class=\"\">\n<p class=\"voltar\"><a href=\"#108\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec109\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">An\u00e1lise Detalhada do Gr\u00e1fico CUSUM<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> apresenta tr\u00eas comportamentos distintos:<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Fase Inicial Ascendente<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Descri\u00e7\u00e3o<\/span><\/strong>:  o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong> apresenta um aumento nas primeiras amostras aproximando-se de <strong><span class=\"preto\">UCL<\/span><\/strong>.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Causas Potenciais:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Esta aproxima\u00e7\u00e3o pode estar relacionada com vibra\u00e7\u00f5es ou desalinhamento que podem afetar o desempenho no in\u00edcio de produ\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Fase Interm\u00e9dia Descendente<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Descri\u00e7\u00e3o<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"azul2\">CUSUM<\/span><\/strong> diminui progressivamente, indicando que os valores observados est\u00e3o consistentemente abaixo da m\u00e9dia de refer\u00eancia (<strong><span class=\"preto\">\u03bc<sub>0<\/sub> = 10.00 mm<\/span><\/strong>).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Este comportamento sugere uma redu\u00e7\u00e3o no di\u00e2metro m\u00e9dio dos furos produzidos.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Causas Potenciais:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Condi\u00e7\u00f5es Operacionais Inadequadas<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Deforma\u00e7\u00e3o ou Desgaste Inicial da Broca<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Primeiro Alerta<\/span><\/strong>: quando o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> atinge cerca de 75% do Limite Inferior Ajustado:<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Realizar uma inspe\u00e7\u00e3o na broca e no sistema de lubrifica\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Este \u00e9 um ponto cr\u00edtico para prevenir que o processo continue a desviar-se.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Interrup\u00e7\u00e3o Tempor\u00e1ria<\/span><\/strong>: caso o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> atinja o <strong><span class=\"preto\">LCL<\/span><\/strong>:<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Parar o processo para uma inspe\u00e7\u00e3o detalhada da ferramenta e da m\u00e1quina.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Implica\u00e7\u00f5es:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Sem A\u00e7\u00e3o<\/span><\/strong>: se o processo continuar sem interven\u00e7\u00e3o, h\u00e1 risco de produzir furos abaixo da toler\u00e2ncia (<strong><span class=\"preto\">< 9.995 mm<\/span><\/strong>).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Resultado<\/span><\/strong>: produtos podem ser n\u00e3o conformes, necessitando de retrabalho ou rejei\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Fase Posterior: Comportamento Ascendente<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Descri\u00e7\u00e3o:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Ap\u00f3s atingir o ponto mais baixo, o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> come\u00e7a a subir consistentemente e ultrapassa, em definitivo, o Limite Superior Ajustado.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Este comportamento reflete uma tend\u00eancia cont\u00ednua de aumento no di\u00e2metro m\u00e9dio dos furos.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Causas Potenciais:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Desgaste progressivo da broca<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Altera\u00e7\u00e3o nas condi\u00e7\u00f5es da m\u00e1quina<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Segundo Alerta<\/span><\/strong>: quando o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> ultrapassa <strong><span class=\"preto\">75%<\/span><\/strong> do Limite Superior Ajustado:<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Realizar inspe\u00e7\u00e3o imediata para verificar o desgaste da broca.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Considerar a substitui\u00e7\u00e3o da ferramenta antes que os furos estejam fora das toler\u00e2ncias.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Interven\u00e7\u00e3o Cr\u00edtica<\/span><\/strong>: quando o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> ultrapassa definitivamente o <strong><span class=\"preto\">UCL<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Parar o processo e substituir a broca imediatamente.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Momento de Certifica\u00e7\u00e3o de Furos Fora da Toler\u00e2ncia<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Crit\u00e9rio para Furos Fora da Toler\u00e2ncia:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Quando o CUSUM ultrapassa o (UCL<sub>Ajustado<\/sub>= 0.01 mm):<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Indica que o somat\u00f3rio cumulativo dos desvios se tornou cr\u00edtico.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Certifica\u00e7\u00e3o de N\u00e3o Conformidade:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Alta probabilidade de furos estarem fora da toler\u00e2ncia (<strong><span class=\"preto\">> 10.005 mm<\/span><\/strong>). <\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>A partir deste momento, pe\u00e7as produzidas n\u00e3o devem ser enviadas ao cliente sem inspe\u00e7\u00e3o adicional ou retrabalho.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Momento Ideal de A\u00e7\u00e3o: <\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>A interven\u00e7\u00e3o ideal teria ocorrido quando o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> atingiu cerca de <strong><span class=\"preto\">75%<\/span><\/strong> do <strong><span class=\"preto\">UCL<\/span><\/strong> pois o gr\u00e1fico j\u00e1 indicava uma tend\u00eancia ascendente consistente.<\/ul><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Resumo dos Momentos Cr\u00edticos e A\u00e7\u00f5es Necess\u00e1rias:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Fase Descendente<\/span><\/strong>: intervir quando o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> se aproxima do <strong><span class=\"preto\">LCL<\/span><\/strong>, para evitar furos pequenos (<strong><span class=\"preto\">< 9.995mm<\/span><\/strong>).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Fase Ascendente<\/span><\/strong>: intervir antes de o <strong><span class=\"azul2\">CUSUM<\/span><\/strong> ultrapassar <strong><span class=\"preto\">75%<\/span><\/strong> do <strong><span class=\"preto\">UCL<\/span><\/strong><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Implica\u00e7\u00f5es de N\u00e3o Agir em Tempo:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Custos Diretos<\/span><\/strong>: produ\u00e7\u00e3o de pe\u00e7as fora da especifica\u00e7\u00e3o leva a retrabalho, desperd\u00edcio e atrasos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Impacto na Qualidade<\/span><\/strong>: entregar pe\u00e7as fora das toler\u00e2ncias pode prejudicar a rela\u00e7\u00e3o com o cliente.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">O Papel da Monitoriza\u00e7\u00e3o Autom\u00e1tica:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Atualiza\u00e7\u00f5es em Tempo Real<\/span><\/strong>: a atualiza\u00e7\u00e3o autom\u00e1tica do gr\u00e1fico \u00e9 crucial para detetar mudan\u00e7as imediatamente.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Pontos de Alerta Pr\u00e9-definidos<\/span><\/strong>: configurar alarmes autom\u00e1ticos em <strong><span class=\"preto\">50%<\/span><\/strong> e <strong><span class=\"preto\">75%<\/span><\/strong> dos <strong><span class=\"preto\">limites ajustados<\/span><\/strong> ajuda a garantir que a\u00e7\u00f5es sejam tomadas antes de o processo se tornar cr\u00edtico.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho1\">Conclus\u00f5es<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>O processo ficou <strong><span class=\"preto\">fora de controlo<\/span><\/strong> a partir do momento em que o gr\u00e1fico ultrapassou o <strong><span class=\"preto\">UCL<sub>Ajustado<\/sub><\/span><\/strong> no <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Uma an\u00e1lise detalhada de estabilidade estat\u00edstica revelou os seguintes resultados:<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">M\u00e9dia e Desvio Padr\u00e3o do Processo:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">M\u00e9dia Alvo<\/span><\/strong>: 10,000 mm.<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">M\u00e9dia Observada<\/span><\/strong>: 10,0013 mm (ligeiramente acima do alvo).<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">Desvio Padr\u00e3o<\/span><\/strong>: 0,0023 mm (relativamente pequeno, indicando consist\u00eancia).<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Teste de Runs:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">N\u00famero de Runs Observados<\/span><\/strong>: 3<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">N\u00famero de Runs Esperados<\/span><\/strong>: 13,6.<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">p-valor<\/span><\/strong>: 2,34\u00d710\u22126, muito menor que 0.005.<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"preto\">Teste de Runs<\/span><\/strong> indica que os desvios no <strong><span class=\"azul2\">CUSUM<\/span><\/strong> n\u00e3o s\u00e3o aleat\u00f3rios. O processo \u00e9 considerado <strong><span class=\"preto\">&#8220;N\u00e3o Est\u00e1vel&#8221;<\/span><\/strong>, possivelmente devido a um padr\u00e3o sistem\u00e1tico ou deriva no processo de fabrica\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>A <strong><span class=\"preto\">produ\u00e7\u00e3o<\/span><\/strong> realizada nestas circunst\u00e2ncias <strong><span class=\"preto\">poder\u00e1 estar<\/span><\/strong> fora das especifica\u00e7\u00f5es.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">A\u00e7\u00f5es Corretivas<\/span><\/strong> imediatas s\u00e3o necess\u00e1rias para evitar pe\u00e7as fora das especifica\u00e7\u00f5es e assegurar a estabilidade do processo. Este comportamento refor\u00e7a a import\u00e2ncia de monitorizar tend\u00eancias e atuar preventivamente antes que os desvios afetem a conformidade do produto.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>, quando atualizado automaticamente, \u00e9 uma ferramenta poderosa para detetar mudan\u00e7as progressivas no processo. <\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Seguir pontos de alerta e realizar a\u00e7\u00f5es preventivas em cada fase evita pe\u00e7as fora das especifica\u00e7\u00f5es, reduz custos e melhora a efici\u00eancia do processo.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#109\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec110\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Notas Finais<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>Os <strong><span class=\"preto\">Gr\u00e1ficos de Controlo<\/span><\/strong> s\u00e3o mais do que ferramentas estat\u00edsticas; s\u00e3o aliados indispens\u00e1veis para garantir a excel\u00eancia operacional, reduzir desperd\u00edcios e aumentar a competitividade das empresas no mercado global. A sele\u00e7\u00e3o adequada do tipo de gr\u00e1fico a utilizar \u2013 seja o <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>, <strong><span class=\"preto\">X-barra R<\/span><\/strong> ou outros \u2013 \u00e9 um passo crucial para adaptar o controlo do processo \u00e0s necessidades espec\u00edficas de cada situa\u00e7\u00e3o.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Ao compreender as vantagens e limita\u00e7\u00f5es de cada ferramenta, os profissionais t\u00eam a capacidade de tomar decis\u00f5es fundamentadas, assegurando n\u00e3o apenas o cumprimento das especifica\u00e7\u00f5es t\u00e9cnicas, mas tamb\u00e9m a melhoria cont\u00ednua dos processos. O estudo aprofundado do <strong><span class=\"azul2\">Gr\u00e1fico CUSUM<\/span><\/strong>, neste contexto, ilustra como mudan\u00e7as graduais podem ser detetadas precocemente, evitando custos elevados e garantindo produtos de qualidade superior.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Este trabalho \u00e9 um convite a explorar e dominar os <strong><span class=\"preto\">Gr\u00e1ficos de Controlo<\/span><\/strong>, promovendo uma abordagem estrat\u00e9gica na sua utiliza\u00e7\u00e3o. A escolha certa, no momento certo, transforma os dados em valor, otimizando processos e garantindo o sucesso sustentado da organiza\u00e7\u00e3o.<\/ul>\n<p class=\"voltar\"><a href=\"#indice\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>O gr\u00e1fico CUSUM (Cumulative Sum Control Chart) \u00e9 particularmente eficaz para monitorizar processos onde mudan\u00e7as subtis podem n\u00e3o ser facilmente identificadas em gr\u00e1ficos de controlo convencionais, como X-barra, R, ou U.<br \/>\nO Gr\u00e1fico CUSUM \u00e9 uma ferramenta de controlo estat\u00edstico utilizada para detectar mudan\u00e7as pequenas e graduais no processo.<br \/>\nEle \u00e9 baseado no somat\u00f3rio cumulativo das diferen\u00e7as entre cada ponto de dados e uma m\u00e9dia de refer\u00eancia. <\/p>\n","protected":false},"author":5,"featured_media":5474,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[384],"tags":[372],"class_list":["post-4986","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-metodos-estatisticos-e-analise-de-dados","tag-grafico-cusum"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CUSUM (Cumulative Sum Control Chart) -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.probool.com\/?p=4986\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CUSUM (Cumulative Sum Control Chart) -\" \/>\n<meta property=\"og:description\" content=\"O gr\u00e1fico CUSUM (Cumulative Sum Control Chart) \u00e9 particularmente eficaz para monitorizar processos onde mudan\u00e7as subtis podem n\u00e3o ser facilmente identificadas em gr\u00e1ficos de controlo convencionais, como X-barra, R, ou U. O Gr\u00e1fico CUSUM \u00e9 uma ferramenta de controlo estat\u00edstico utilizada para detectar mudan\u00e7as pequenas e graduais no processo. Ele \u00e9 baseado no somat\u00f3rio cumulativo das diferen\u00e7as entre cada ponto de dados e uma m\u00e9dia de refer\u00eancia.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.probool.com\/?p=4986\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/proboolnetsoftwaresolutions\/\" \/>\n<meta property=\"article:published_time\" content=\"2025-02-21T11:00:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-25T13:52:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1021\" \/>\n\t<meta property=\"og:image:height\" content=\"424\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Web Master\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Web Master\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"25 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.probool.com\/?p=4986#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986\"},\"author\":{\"name\":\"Web Master\",\"@id\":\"https:\/\/www.probool.com\/#\/schema\/person\/f813b7a50e5dd2f52a39d7a302b7cff3\"},\"headline\":\"CUSUM (Cumulative Sum Control Chart)\",\"datePublished\":\"2025-02-21T11:00:24+00:00\",\"dateModified\":\"2025-03-25T13:52:05+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986\"},\"wordCount\":4943,\"publisher\":{\"@id\":\"https:\/\/www.probool.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png\",\"keywords\":[\"gr\u00e1fico CUSUM\"],\"articleSection\":[\"M\u00e9todos Estat\u00edsticos e An\u00e1lise de Dados\"],\"inLanguage\":\"pt-PT\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.probool.com\/?p=4986\",\"url\":\"https:\/\/www.probool.com\/?p=4986\",\"name\":\"CUSUM (Cumulative Sum Control Chart) -\",\"isPartOf\":{\"@id\":\"https:\/\/www.probool.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png\",\"datePublished\":\"2025-02-21T11:00:24+00:00\",\"dateModified\":\"2025-03-25T13:52:05+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.probool.com\/?p=4986#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.probool.com\/?p=4986\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/www.probool.com\/?p=4986#primaryimage\",\"url\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png\",\"contentUrl\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png\",\"width\":1021,\"height\":424},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.probool.com\/?p=4986#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"In\u00edcio\",\"item\":\"https:\/\/www.probool.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"CUSUM (Cumulative Sum Control Chart)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.probool.com\/#website\",\"url\":\"https:\/\/www.probool.com\/\",\"name\":\"Probool WebSite\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/www.probool.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.probool.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.probool.com\/#organization\",\"name\":\"Pro BoolNet Software Solutions, Lda.\",\"url\":\"https:\/\/www.probool.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/www.probool.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/06\/ProboolWeb.png\",\"contentUrl\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/06\/ProboolWeb.png\",\"width\":480,\"height\":180,\"caption\":\"Pro BoolNet Software Solutions, Lda.\"},\"image\":{\"@id\":\"https:\/\/www.probool.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/proboolnetsoftwaresolutions\/\",\"https:\/\/www.linkedin.com\/company\/probool\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.probool.com\/#\/schema\/person\/f813b7a50e5dd2f52a39d7a302b7cff3\",\"name\":\"Web Master\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/www.probool.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/ccbb97c15a38c7cdceeef8c5fd735838?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/ccbb97c15a38c7cdceeef8c5fd735838?s=96&d=mm&r=g\",\"caption\":\"Web Master\"},\"url\":\"https:\/\/www.probool.com\/?author=5\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"CUSUM (Cumulative Sum Control Chart) -","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.probool.com\/?p=4986","og_locale":"pt_PT","og_type":"article","og_title":"CUSUM (Cumulative Sum Control Chart) -","og_description":"O gr\u00e1fico CUSUM (Cumulative Sum Control Chart) \u00e9 particularmente eficaz para monitorizar processos onde mudan\u00e7as subtis podem n\u00e3o ser facilmente identificadas em gr\u00e1ficos de controlo convencionais, como X-barra, R, ou U. O Gr\u00e1fico CUSUM \u00e9 uma ferramenta de controlo estat\u00edstico utilizada para detectar mudan\u00e7as pequenas e graduais no processo. Ele \u00e9 baseado no somat\u00f3rio cumulativo das diferen\u00e7as entre cada ponto de dados e uma m\u00e9dia de refer\u00eancia.","og_url":"https:\/\/www.probool.com\/?p=4986","article_publisher":"https:\/\/www.facebook.com\/proboolnetsoftwaresolutions\/","article_published_time":"2025-02-21T11:00:24+00:00","article_modified_time":"2025-03-25T13:52:05+00:00","og_image":[{"width":1021,"height":424,"url":"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png","type":"image\/png"}],"author":"Web Master","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Web Master","Tempo estimado de leitura":"25 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.probool.com\/?p=4986#article","isPartOf":{"@id":"https:\/\/www.probool.com\/?p=4986"},"author":{"name":"Web Master","@id":"https:\/\/www.probool.com\/#\/schema\/person\/f813b7a50e5dd2f52a39d7a302b7cff3"},"headline":"CUSUM (Cumulative Sum Control Chart)","datePublished":"2025-02-21T11:00:24+00:00","dateModified":"2025-03-25T13:52:05+00:00","mainEntityOfPage":{"@id":"https:\/\/www.probool.com\/?p=4986"},"wordCount":4943,"publisher":{"@id":"https:\/\/www.probool.com\/#organization"},"image":{"@id":"https:\/\/www.probool.com\/?p=4986#primaryimage"},"thumbnailUrl":"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png","keywords":["gr\u00e1fico CUSUM"],"articleSection":["M\u00e9todos Estat\u00edsticos e An\u00e1lise de Dados"],"inLanguage":"pt-PT"},{"@type":"WebPage","@id":"https:\/\/www.probool.com\/?p=4986","url":"https:\/\/www.probool.com\/?p=4986","name":"CUSUM (Cumulative Sum Control Chart) -","isPartOf":{"@id":"https:\/\/www.probool.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.probool.com\/?p=4986#primaryimage"},"image":{"@id":"https:\/\/www.probool.com\/?p=4986#primaryimage"},"thumbnailUrl":"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png","datePublished":"2025-02-21T11:00:24+00:00","dateModified":"2025-03-25T13:52:05+00:00","breadcrumb":{"@id":"https:\/\/www.probool.com\/?p=4986#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.probool.com\/?p=4986"]}]},{"@type":"ImageObject","inLanguage":"pt-PT","@id":"https:\/\/www.probool.com\/?p=4986#primaryimage","url":"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png","contentUrl":"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoCUSUM.png","width":1021,"height":424},{"@type":"BreadcrumbList","@id":"https:\/\/www.probool.com\/?p=4986#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"In\u00edcio","item":"https:\/\/www.probool.com\/"},{"@type":"ListItem","position":2,"name":"CUSUM (Cumulative Sum Control Chart)"}]},{"@type":"WebSite","@id":"https:\/\/www.probool.com\/#website","url":"https:\/\/www.probool.com\/","name":"Probool WebSite","description":"","publisher":{"@id":"https:\/\/www.probool.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.probool.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pt-PT"},{"@type":"Organization","@id":"https:\/\/www.probool.com\/#organization","name":"Pro BoolNet Software Solutions, Lda.","url":"https:\/\/www.probool.com\/","logo":{"@type":"ImageObject","inLanguage":"pt-PT","@id":"https:\/\/www.probool.com\/#\/schema\/logo\/image\/","url":"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/06\/ProboolWeb.png","contentUrl":"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/06\/ProboolWeb.png","width":480,"height":180,"caption":"Pro BoolNet Software Solutions, Lda."},"image":{"@id":"https:\/\/www.probool.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/proboolnetsoftwaresolutions\/","https:\/\/www.linkedin.com\/company\/probool"]},{"@type":"Person","@id":"https:\/\/www.probool.com\/#\/schema\/person\/f813b7a50e5dd2f52a39d7a302b7cff3","name":"Web Master","image":{"@type":"ImageObject","inLanguage":"pt-PT","@id":"https:\/\/www.probool.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/ccbb97c15a38c7cdceeef8c5fd735838?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/ccbb97c15a38c7cdceeef8c5fd735838?s=96&d=mm&r=g","caption":"Web Master"},"url":"https:\/\/www.probool.com\/?author=5"}]}},"_links":{"self":[{"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/posts\/4986"}],"collection":[{"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.probool.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4986"}],"version-history":[{"count":5,"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/posts\/4986\/revisions"}],"predecessor-version":[{"id":5663,"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/posts\/4986\/revisions\/5663"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.probool.com\/index.php?rest_route=\/wp\/v2\/media\/5474"}],"wp:attachment":[{"href":"https:\/\/www.probool.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4986"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.probool.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4986"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.probool.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4986"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}