{"id":1684,"date":"2024-09-18T21:43:08","date_gmt":"2024-09-18T21:43:08","guid":{"rendered":"https:\/\/www.probool.com\/?p=1684"},"modified":"2025-04-08T20:35:04","modified_gmt":"2025-04-08T20:35:04","slug":"eoq-quantidade-economica-encomenda-gestao-inventario-industrial","status":"publish","type":"post","link":"https:\/\/www.probool.com\/?p=1684","title":{"rendered":"MRP versus EOQ"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1684\" class=\"elementor elementor-1684\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5715b54 e-flex e-con-boxed e-con e-parent\" data-id=\"5715b54\" 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-b8c9cac elementor-widget elementor-widget-text-editor\" data-id=\"b8c9cac\" 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.table, td {border: 1px solid black; border-collapse: collapse;}\n.table2, th {border: 0px solid black; border-collapse: collapse;}\n.padleft{padding-left: 15px;}\n.MsoNormal {margin-botton: 25px; Margin-top: 25px; padleft;}\n.MsoNormal1 {margin-botton: 0px; Margin-top: 0px; padding-left: 0px}\n.wing01 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 20px; color: #ff0000; text-shadow: 1px 1px 1px #000000}\n.wing02 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 20px; color: #33cc33; text-shadow: 1px 1px 1px #000000}\n.wing03 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 20px; color: #0000ff; text-shadow: 1px 1px 1px #0000ff}\n.wing04 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 20px; color: #cc6600; text-shadow: 1px 1px 1px #cc6600}\n.wing05 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 20px; color: #990099; text-shadow: 1px 1px 1px #000000}\n.laranja {color: #f8981d;}\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.verde4 {color: #00ee00;}\n.vermelho {color: #ff0000;}\n.castanho1 {color: #663300;}\n.castanho2 {color: #996600;}\n.castanho3 {color: #cc6600;}\n.roxo {color: #990099;}\n.cinza {color: #999999;}\n.preto {color: #000000;}\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.sub {vertical-align: sub; font-size: smaller;}\n.sup {vertical-align: sup; font-size: small;}\n.voltar {text-align: right;}\n<\/style>\n\n<h3 class=\"MsoNormal\"><em><strong><span class=\"laranja\">MRP vs. EOQ<\/span><\/strong><\/em><\/h3>\n<h5 class=\"MsoNormal\"><em><strong><span class=\"castanho2\">Planeamento e Otimiza\u00e7\u00e3o da Gest\u00e3o de Invent\u00e1rio<\/span><\/strong><\/em><\/h5>\n<ul><span class=\"MsoNormal1\"><\/span><span class=\"preto\">A gest\u00e3o eficaz de materiais e de invent\u00e1rio \u00e9 um dos pilares fundamentais para garantir o bom desempenho operacional numa unidade industrial. As metodologias <strong>MRP (Material Requirements Planning)<\/strong> e <strong>EOQ (Economic Order Quantity) <\/strong>representam abordagens distintas e complementares no controlo dos fluxos de materiais e stocks.<\/span><\/ul>\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">1. Objetivos e Finalidades<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>MRP \u2013 Planeamento das Necessidades de Materiais<\/strong><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Tem como objetivo principal assegurar que <strong>os materiais certos estejam dispon\u00edveis nos momentos certos<\/strong> para suportar o plano de produ\u00e7\u00e3o. O <strong>MRP<\/strong> organiza e sincroniza o aprovisionamento de componentes com base na procura real ou prevista.<\/span><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>EOQ \u2013 Quantidade Econ\u00f3mica de Pedido<\/strong><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Tem como objetivo determinar a <strong>quantidade \u00f3tima a encomendar<\/strong> de cada item, de modo a <strong>minimizar os custos totais de gest\u00e3o de invent\u00e1rio<\/strong>, conciliando os custos de armazenagem com os custos de encomenda.<\/span><\/ul><\/ul><\/ul>\n\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">2. Princ\u00edpios de Funcionamento<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>MRP<\/strong>:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Baseia-se numa l\u00f3gica de planeamento dependente, onde a <strong>procura de componentes \u00e9 derivada da procura do produto final<\/strong>. Utiliza como inputs:<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">Lista de materiais (BOM \u2013 Bill of Materials);<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">Plano mestre de produ\u00e7\u00e3o (MPS);<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">N\u00edveis de stock atualizados;<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">Tempos de aprovisionamento.<\/span><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"preto\">O sistema calcula quando e quanto encomendar de cada item, de forma a garantir a continuidade da produ\u00e7\u00e3o sem ruturas.<\/span><\/ul><\/ul>\n\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>EOQ<\/strong>:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Baseia-se num modelo matem\u00e1tico cl\u00e1ssico que procura o ponto de equil\u00edbrio entre dois custos principais:<\/span><\/ul><\/ul><\/ul>\n\n<table width=\"100%\" height=\"50\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><th align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2025\/04\/EOQ2.png\" width=\"93\" height=\"50\" ><\/div><\/th><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"preto\">Onde<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"preto\"><strong>D<\/strong>: Procura anual (em unidades);<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"preto\"><strong>S<\/strong>: Custo por encomenda (administrativo, transporte, etc.);<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"preto\"><strong>H<\/strong>: Custo de armazenagem anual por unidade (alugueres, seguro, obsolesc\u00eancia, etc.).<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"preto\">O resultado indica a <strong>quantidade \u00f3tima por pedido<\/strong>, reduzindo o n\u00famero de encomendas e evitando acumula\u00e7\u00e3o excessiva de stock.<\/span><\/ul><\/ul>\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">3. Foco Estrat\u00e9gico<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>MR<\/strong>P:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Centra-se no <strong>timing e sincroniza\u00e7\u00e3o<\/strong> dos pedidos, tendo em conta os lead times e a procura dos produtos acabados. O seu papel \u00e9 garantir <strong>continuidade produtiva sem desperd\u00edcio de recursos<\/strong>.<\/span><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>EOQ<\/strong>:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Foca-se na <strong>efici\u00eancia econ\u00f3mica do tamanho dos pedidos<\/strong>, visando <strong>minimizar os custos operacionais associados ao stock<\/strong>.<\/span><\/ul><\/ul><\/ul>\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">4. N\u00edvel de Complexidade e 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><span class=\"preto\"><strong>MRP<\/strong>:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Requer software ou sistema de apoio estruturado, devido \u00e0 <strong>multiplicidade de componentes<\/strong>, depend\u00eancias entre itens e din\u00e2mica temporal das necessidades. \u00c9 comummente integrado em sistemas <strong>ERP<\/strong>.<\/span><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>EOQ<\/strong>:<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Pode ser aplicado de forma isolada ou como <strong>complemento a sistemas de planeamento<\/strong>, especialmente \u00fatil para itens com consumo regular e previs\u00edvel.<\/span><\/ul><\/ul><\/ul>\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">5. Integra\u00e7\u00e3o e Complementaridade<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">O <strong>MRP<\/strong> define <strong>quando e quanto<\/strong> encomendar com base na procura dependente.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">O <strong>EOQ<\/strong> pode ser usado <strong>dentro do MRP<\/strong>, para sugerir <strong>quantidades de encomenda mais econ\u00f3micas<\/strong> quando as necessidades s\u00e3o agrupadas.<\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"preto\">Esta integra\u00e7\u00e3o permite que os sistemas de planeamento sejam <strong>mais eficientes e orientados para a redu\u00e7\u00e3o de custos<\/strong> em paralelo com o cumprimento dos prazos de produ\u00e7\u00e3o.<\/span><\/ul><\/ul><\/ul>\n\n<br class=\"\">\n<table style=\"width:100%; height=\"50\"; border-collapse:collapse; border:1px solid #000; text-align:center;\">\n  <tr style=\"height:50px;\">\n    <td align=\"center\" valign=\"middle\" width=\"30%\" style=\"background-color:#0000FF; color:white; font-size:20px; font-weight:bold;\">Crit\u00e9rio<\/td>\n    <td align=\"center\" valign=\"middle\" width=\"35%\" style=\"background-color:#0000FF; color:white; font-size:20px; font-weight:bold;\">MRP<\/td>\n    <td align=\"center\" valign=\"middle\" width=\"35%\" style=\"background-color:#0000FF; color:white; font-size:20px; font-weight:bold;\">EOQ<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Objetivo principal<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Garantir disponibilidade de materiais no tempo certo<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Minimizar o custo total de invent\u00e1rio<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Base de c\u00e1lculo<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Procura dependente, estrutura do produto e tempos de entrega<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Equil\u00edbrio entre custo de pedido e custo de manuten\u00e7\u00e3o<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Tipo de abordagem<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Planeamento de materiais (sistema estruturado)<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Otimiza\u00e7\u00e3o matem\u00e1tica do tamanho de pedido<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Requisitos de dados<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">BOM, plano de produ\u00e7\u00e3o, invent\u00e1rio, lead times<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Procura anual, custo de encomenda, custo de armazenagem<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Complexidade<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Elevada \u2013 exige software ou ERP integrado<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Baixa a moderada \u2013 c\u00e1lculo direto<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Aplicabilidade<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Produ\u00e7\u00e3o discreta com produtos compostos por m\u00faltiplas fases de montagem<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Itens de stock com consumo regular<\/td>\n  <\/tr>\n  <tr style=\"height:50px;\">\n    <td align=\"left\" valign=\"middle\" style=\"background-color:#87CEEB; color:black; font-weight:bold;\">Possibilidade de integra\u00e7\u00e3o<\/td>\n    <td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Usa o EOQ como suporte \u00e0 defini\u00e7\u00e3o de quantidades de encomenda<\/td>\n\t<td align=\"center\" valign=\"middle\" style=\"background-color:#87CEEB; color:black;\">Apoia decis\u00f5es dentro de sistemas MRP ou em contextos aut\u00f3nomos<\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">6. Considera\u00e7\u00f5es Finais<\/span><\/strong><\/ul>\n\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">O <strong>MRP \u00e9 essencial para o planeamento detalhado da produ\u00e7\u00e3o<\/strong>, assegurando a disponibilidade pontual de todos os componentes e mat\u00e9rias-primas necess\u00e1rios.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">O <strong>EOQ \u00e9 fundamental para a gest\u00e3o eficiente do invent\u00e1rio<\/strong>, especialmente em ambientes onde o custo do capital e da armazenagem \u00e9 relevante.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\"><strong>Utilizados em conjunto, proporcionam uma solu\u00e7\u00e3o integrada que melhora a efici\u00eancia operacional, reduz custos e evita ruturas de stock<\/strong>, contribuindo diretamente para o aumento da competitividade da empresa.<\/span><\/ul><\/ul>\n\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 MRP (Material Requirements Planning) e o EOQ (Economic Order Quantity) s\u00e3o dois conceitos importantes na gest\u00e3o de invent\u00e1rio e produ\u00e7\u00e3o, mas t\u00eam fun\u00e7\u00f5es e objetivos diferentes. <\/p>\n","protected":false},"author":5,"featured_media":1718,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[243],"tags":[139,109],"class_list":["post-1684","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analises-comparativas","tag-eoq","tag-mrp"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>EOQ \u2013 Como Reduzir Custos de Stock e Melhorar a Efici\u00eancia nas Compras<\/title>\n<meta name=\"description\" content=\"Aprenda a aplicar o modelo EOQ na sua PME. 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