{"id":1237,"date":"2016-02-02T14:12:10","date_gmt":"2016-02-02T13:12:10","guid":{"rendered":"http:\/\/smart--grid.net\/?page_id=1237"},"modified":"2022-12-03T22:58:51","modified_gmt":"2022-12-03T21:58:51","slug":"methode-mpm","status":"publish","type":"page","link":"https:\/\/complex-systems-ai.com\/en\/planning-problem\/mpm-method\/","title":{"rendered":"MPM method"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"1237\" class=\"elementor elementor-1237\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9394ea8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9394ea8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-9cd1a67\" data-id=\"9cd1a67\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4d016c6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4d016c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/en\/planning-problem\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\"> Planning problem<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-6d6ed79\" data-id=\"6d6ed79\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8ea407c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"8ea407c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/en\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Home page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c5765d3\" data-id=\"c5765d3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-123cad6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"123cad6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/fr.wikipedia.org\/wiki\/M%C3%A9thode_des_potentiels_m%C3%A9tra\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Wiki<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-42c1b50c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"42c1b50c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5f1ce46b\" data-id=\"5f1ce46b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7ce71f1f elementor-widget elementor-widget-text-editor\" data-id=\"7ce71f1f\" data-element_type=\"widget\" data-e-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\t\t\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/complex-systems-ai.com\/en\/planning-problem\/mpm-method\/#Methode-MPM\" >MPM method<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Methode-MPM\"><\/span>MPM method<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The MPM method makes it possible to evaluate the duration of the realization of a complex project and to detect the parts of this project not supporting any delay. The information about the tasks is summarized in a schedule.<\/p>\n\n<p>Unlike the <a href=\"https:\/\/complex-systems-ai.com\/en\/planning-problem\/pert-method\/\">PERT method<\/a>, the vertices of the BPM method are tasks to be performed. We can \u201cconsider\u201d that the edges of the PERT method become vertices in the MPM method (similarly for the vertices becoming edges).<\/p>\n\n<div style=\"padding: 3px; border: 2px dotted #a5a5a5; background-color: #f6f9fa;\">\n<p style=\"text-align: justify;\">The main differences with the PERT method:<\/p>\n<ul style=\"text-align: justify;\">\n<li>the representation of the prior relationships of a task sharing some of its antecedents with another does not require the use of fictitious links<\/li>\n<li>to each arc is associated a numerical value which represents either an operation duration or a delay.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">the <a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/\">graph<\/a> MPM is built like the PERT graph, the margin calculation is identical. Here is the timeline:<\/p>\n<\/div>\n\n<div class=\"standard\" style=\"text-align: justify;\">\n<table>\n<tbody>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">task<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">precedence<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">duration<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">TO<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">\u2013<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">B<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">\u2013<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">VS<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">B<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">3<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">D<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">A, C<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">10<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">E<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">\u2013<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">F<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">\u2013<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">0.5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">G<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">D<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">0.5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">H<\/td>\n<td align=\"center\" valign=\"top\">F, G<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">0.5<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">I<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">H<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">1<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">J<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">E, I<\/div>\n<\/td>\n<td align=\"center\" valign=\"top\">\n<div class=\"plain_layout\">2<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\n<p class=\"standard\">\u00a0Which gives the following graph:<\/p>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-1261 size-large\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/mpm-1024x639.png\" alt=\"BPM method prior relations schedule\" width=\"1024\" height=\"639\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/mpm-1024x639.png 1024w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/mpm-300x187.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/mpm-768x479.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/mpm.png 1042w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Planning problem Home page Wiki MPM method The MPM method allows to evaluate the duration of realization of a complex project and to detect the parts \u2026 <\/p>","protected":false},"author":1,"featured_media":0,"parent":868,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1237","page","type-page","status-publish","hentry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/1237","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/comments?post=1237"}],"version-history":[{"count":4,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/1237\/revisions"}],"predecessor-version":[{"id":17916,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/1237\/revisions\/17916"}],"up":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/868"}],"wp:attachment":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/media?parent=1237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}