{"id":2555,"date":"2015-08-07T16:24:26","date_gmt":"2015-08-07T15:24:26","guid":{"rendered":"http:\/\/mosaic-modeling.de\/?page_id=2555"},"modified":"2023-08-19T00:52:09","modified_gmt":"2023-08-18T23:52:09","slug":"the-mosaic-workflow","status":"publish","type":"page","link":"https:\/\/mosaic-modeling.de\/?page_id=2555","title":{"rendered":"MOSAICmodeling workflow"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">On this page<\/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-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mosaic-modeling.de\/?page_id=2555\/#Premise\" >Premise<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mosaic-modeling.de\/?page_id=2555\/#Overview-of-workflow\" >Overview of workflow<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mosaic-modeling.de\/?page_id=2555\/#Modeling\" >Modeling<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mosaic-modeling.de\/?page_id=2555\/#Simulation\" >Simulation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mosaic-modeling.de\/?page_id=2555\/#Optimization\" >Optimization<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Premise\"><\/span>Premise<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Every equation, function, and equation system must have a notation that contains an explanation for each symbol used in the mathematical expressions;<\/li>\n<li>Mathematic expressions are written symbolically so that they are readable and easily checkable for errors;<\/li>\n<li>Equations and functions are created separately and then assembled to equation systems;<\/li>\n<li>Equation systems can be added to other equation systems;<\/li>\n<li>The solution of a model is separated from its creation. In particular,\n<ul>\n<li>an equation system does not contain information on the maximum values of indices or the specific values of\u00a0variables and parameters;<\/li>\n<li>an equation system does not contain any information on the specification of design and iteration variables.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Overview-of-workflow\"><\/span>Overview of workflow<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>MOSAICmodeling was developed with the workflow in Figure 1 in mind. The individual steps are outlined briefly below. A more extensive explanation of the individual steps is given in our <a href=\"http:\/\/mosaic-modeling.de\/?page_id=72\" data-type=\"page\" data-id=\"72\" data-rich-text-format-boundary=\"true\">Documentation<\/a>.<\/p>\n<figure id=\"attachment_2596\" aria-describedby=\"caption-attachment-2596\" style=\"width: 584px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/ModelingSimulationOptimizationWorkflow1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2596 size-full\" src=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/ModelingSimulationOptimizationWorkflow1.png\" alt=\"\" width=\"584\" height=\"65\" srcset=\"https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/ModelingSimulationOptimizationWorkflow1.png 584w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/ModelingSimulationOptimizationWorkflow1-300x33.png 300w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><\/a><figcaption id=\"caption-attachment-2596\" class=\"wp-caption-text\">Figure 1: MOSAICmodeling workflow.<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Modeling\"><\/span>Modeling<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The modeling workflow consists of the following steps:<\/p>\n<ul>\n<li>Creation of notation object, which contains information on all used symbols;<\/li>\n<li>Formulation of equations;<\/li>\n<li>Optional: formulation of functional objects and parameter lists;<\/li>\n<li>Combination of equations (and functions) to an equation system.<\/li>\n<\/ul>\n<p>The order of these steps is shown in Figure 2 whereas they detailed explanation is given in the section <a href=\"http:\/\/mosaic-modeling.de\/?page_id=4140\" data-rich-text-format-boundary=\"true\">Model<\/a> within the documentation.<\/p>\n<figure id=\"attachment_2561\" aria-describedby=\"caption-attachment-2561\" style=\"width: 594px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/The-MOSAIC-Workflow3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2561 size-full\" src=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/The-MOSAIC-Workflow3.png\" alt=\"\" width=\"594\" height=\"645\" srcset=\"https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/The-MOSAIC-Workflow3.png 594w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/The-MOSAIC-Workflow3-276x300.png 276w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/a><figcaption id=\"caption-attachment-2561\" class=\"wp-caption-text\">Figure 2: MOSAICmodeling workflow for modeling.<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Simulation\"><\/span>Simulation<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The simulation workflow consists of the following steps:<\/p>\n<ul>\n<li>Creation of a simulation object that contains all information necessary to specify an instance of the previously formulated model. This includes the\n<ul>\n<li>specification of maximum index values, e.g., number of components;<\/li>\n<li>classification of the variables into design and iteration variables;<\/li>\n<li>assignment of initial guesses for iteration variables as well as the values to the design variables and parameters;<\/li>\n<\/ul>\n<\/li>\n<li>Code generation according to the included language specification of MOSAICmodeling or your own language specification.<\/li>\n<\/ul>\n<p>The order of these steps is shown in Figure 3. However, the reader is referred to the section <a href=\"http:\/\/mosaic-modeling.de\/?page_id=4174\">Simulation<\/a> within the documentation for a more detailed explanation.<\/p>\n<figure id=\"attachment_3026\" aria-describedby=\"caption-attachment-3026\" style=\"width: 726px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-9.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3026 size-full\" src=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-9.png\" alt=\"\" width=\"726\" height=\"2439\" srcset=\"https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-9.png 726w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-9-89x300.png 89w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-9-305x1024.png 305w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/a><figcaption id=\"caption-attachment-3026\" class=\"wp-caption-text\">Figure 3: MOSAICmodeling workflow for simulation.<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Optimization\"><\/span>Optimization<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The optimization workflow consists of the following steps:<\/p>\n<ul>\n<li>Creation of an optimization object based on the provided simulation;<\/li>\n<li>Determination of degrees of freedom;<\/li>\n<li>Code generation according to the included language specification of MOSAICmodeling or your own language specification.<\/li>\n<\/ul>\n<p>The order of these steps is shown in Figure 4. However, the reader is referred to the section <a href=\"http:\/\/mosaic-modeling.de\/?page_id=4187\">Optimization<\/a> within the documentation for a more detailed explanation.<\/p>\n<figure id=\"attachment_2852\" aria-describedby=\"caption-attachment-2852\" style=\"width: 792px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2852 size-full\" src=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-2.png\" alt=\"\" width=\"792\" height=\"3792\" srcset=\"https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-2.png 792w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-2-768x3677.png 768w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2015\/08\/drawit-diagram-2-214x1024.png 214w\" sizes=\"auto, (max-width: 792px) 100vw, 792px\" \/><\/a><figcaption id=\"caption-attachment-2852\" class=\"wp-caption-text\">Figure 4: MOSAICmodeling workflow for optimization.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Premise Every equation, function, and equation system must have a notation that contains an explanation for each symbol used in the mathematical expressions; Mathematic expressions are written symbolically so that they are readable and easily checkable for errors; Equations and functions are created separately and then assembled to equation systems; Equation systems can be added [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"parent":4249,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2555","page","type-page","status-publish","czr-hentry"],"_links":{"self":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/2555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2555"}],"version-history":[{"count":29,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/2555\/revisions"}],"predecessor-version":[{"id":5586,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/2555\/revisions\/5586"}],"up":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/4249"}],"wp:attachment":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}