{"id":819782,"date":"2026-05-27T10:03:44","date_gmt":"2026-05-27T08:03:44","guid":{"rendered":"https:\/\/www.crs4.it\/senza-categoria\/percorsiottimali\/"},"modified":"2026-09-09T13:26:49","modified_gmt":"2026-09-09T11:26:49","slug":"percorsiottimali","status":"publish","type":"post","link":"https:\/\/www.crs4.it\/en\/ct\/percorsiottimali\/","title":{"rendered":"Optimal Routes &#8211; Structure and performance of the fastest routes on networks with interacting self-interested agents"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"819782\" class=\"elementor elementor-819782 elementor-757673\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c81bae5 e-flex e-con-boxed e-con e-parent\" data-id=\"c81bae5\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-349dd5a e-con-full e-flex e-con e-child\" data-id=\"349dd5a\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a59ce6f elementor-widget elementor-widget-heading\" data-id=\"a59ce6f\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/www.crs4.it\/en\/technologies\/\">TECHNOLOGY CATALOGUE CRS4<\/a><\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e08adce elementor-widget elementor-widget-spacer\" data-id=\"e08adce\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-13b3d01 e-con-full e-flex e-con e-child\" data-id=\"13b3d01\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b501df6 elementor-widget elementor-widget-heading\" data-id=\"b501df6\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Optimal Routes<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d5e1560 elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-widget elementor-widget-heading\" data-id=\"d5e1560\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Digital Platform for Labs<\/h2>\t\t\t\t<\/div>\n\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<div class=\"elementor-element elementor-element-6dc6090 e-flex e-con-boxed e-con e-parent\" data-id=\"6dc6090\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5617d5a elementor-widget elementor-widget-heading\" data-id=\"5617d5a\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Structure and performance of the fastest routes on networks with interacting self-interested agents<\/h3>\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<div class=\"elementor-element elementor-element-117a7df e-flex e-con-boxed e-con e-parent\" data-id=\"117a7df\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-57ec888 e-con-full e-flex e-con e-child\" data-id=\"57ec888\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d03957e elementor-widget elementor-widget-heading\" data-id=\"d03957e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Background<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-90a203e elementor-widget elementor-widget-text-editor\" data-id=\"90a203e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p>Modern\u00a0<strong>transportation and network systems<\/strong> \u2013 such as urban mobility, logistics, and communication networks \u2013 are increasingly affected by <b>congestion caused by users<\/b> who make decisions autonomously and are driven by personal interests.<\/p><p>Traditional models focus on individual network links but\u00a0fail to describe\u00a0how the entire\u00a0route system evolves\u00a0when\u00a0collective\u00a0behavior\u00a0comes\u00a0into play.<\/p><p>This\u00a0limitation\u00a0is\u00a0evident in phenomena\u00a0such\u00a0as the so-called \u201cprice of anarchy,\u201d which\u00a0measures the inefficiencies\u00a0generated by uncoordinated user behavior.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a1a1d8b elementor-widget elementor-widget-heading\" data-id=\"a1a1d8b\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">What does the Optimal Routes application offer?<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-528c924 elementor-widget elementor-widget-text-editor\" data-id=\"528c924\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p>The Optimal\u00a0Routes\u00a0application\u00a0introduces an <strong>analytical<\/strong><strong> framework<\/strong> to study <strong>how<\/strong><strong> the <\/strong><strong>fastest<\/strong><strong>\u00a0<\/strong><strong>routes<\/strong><strong> in networks <\/strong><strong>change<\/strong><strong> in <\/strong><strong>response<\/strong><strong> to <\/strong><strong>increased<\/strong><strong> congestion<\/strong>\u00a0caused by the interaction between agents.<\/p><p>To this end, new indicators are introduced to characterize\u00a0both the geometry of the routes (spatial\u00a0structure, detours, alternative routes) and mobility performance\u2014that\u00a0is, the efficiency with which agents reach\u00a0their\u00a0destinations.<\/p><p>The developed system has\u00a0been\u00a0validated on both\u00a0<strong>synthetic<\/strong><strong> networks and <\/strong><strong>real<\/strong><strong> urban systems<\/strong>, revealing\u00a0how\u00a0optimal\u00a0routes\u00a0dynamically\u00a0adapt or collapse\u00a0as\u00a0traffic\u00a0increases.<\/p><p>The fundamental\u00a0innovation\u00a0lies in the combination of <strong>game theory, network science, and <\/strong><strong>nonlinear<\/strong><strong> dynamics<\/strong>\u00a0applied to real-world urban network congestion problems to study the inefficiencies\u00a0arising from decentralized\u00a0behaviors.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2deed93 elementor-widget elementor-widget-heading\" data-id=\"2deed93\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Innovative features<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-966c08d premium-type-column elementor-widget elementor-widget-premium-icon-list\" data-id=\"966c08d\" data-element_type=\"widget\" data-settings=\"{&quot;rbadges_repeater&quot;:[],&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"premium-icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<ul class=\"premium-bullet-list-box\">\n\t\t\t\t\n\t\t\t\t\t\t\t<li class=\"premium-bullet-list-content elementor-repeater-item-9efb7bb\">\n\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-drawable-icon\"><i class=\"premium-svg-nodraw icon icon-checkmark\" aria-hidden=\"true\"><\/i><\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text-wrapper\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"premium-bullet-text\" data-text=\"Shift from node-based network analysis to path-based analysis\"> Shift from node-based network analysis to path-based analysis <\/span>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<\/li>\n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<li class=\"premium-bullet-list-content elementor-repeater-item-cd483ff\">\n\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-drawable-icon\"><i class=\"premium-svg-nodraw icon icon-checkmark\" aria-hidden=\"true\"><\/i><\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text-wrapper\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"premium-bullet-text\" data-text=\"Introduction of new indicators related to path shape and performance\"> Introduction of new indicators related to path shape and performance <\/span>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<\/li>\n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<li class=\"premium-bullet-list-content elementor-repeater-item-57a8694\">\n\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-drawable-icon\"><i class=\"premium-svg-nodraw icon icon-checkmark\" aria-hidden=\"true\"><\/i><\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text-wrapper\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"premium-bullet-text\" data-text=\"Identification of critical congestion thresholds at which the system behavior undergoes a sudden change\"> Identification of critical congestion thresholds at which the system behavior undergoes a sudden change <\/span>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<\/li>\n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<li class=\"premium-bullet-list-content elementor-repeater-item-7eb9846\">\n\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-drawable-icon\"><i class=\"premium-svg-nodraw icon icon-checkmark\" aria-hidden=\"true\"><\/i><\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text-wrapper\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"premium-bullet-text\" data-text=\"Identification of nonlinear and asymmetric effects in urban areas\"> Identification of nonlinear and asymmetric effects in urban areas <\/span>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<\/li>\n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<li class=\"premium-bullet-list-content elementor-repeater-item-f8bfee7\">\n\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"premium-drawable-icon\"><i class=\"premium-svg-nodraw icon icon-checkmark\" aria-hidden=\"true\"><\/i><\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"premium-bullet-list-text-wrapper\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"premium-bullet-text\" data-text=\"Use of inequality measures (e.g., the Gini coefficient) to assess the uniformity of the deterioration in network performance\"> Use of inequality measures (e.g., the Gini coefficient) to assess the uniformity of the deterioration in network performance <\/span>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<\/li>\n\n\t\t\t\t\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-5d25c5b e-con-full e-flex e-con e-child\" data-id=\"5d25c5b\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-8de1a96 e-con-full e-flex e-con e-child\" data-id=\"8de1a96\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3306adf elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"3306adf\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-user-friends\" viewBox=\"0 0 640 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M192 256c61.9 0 112-50.1 112-112S253.9 32 192 32 80 82.1 80 144s50.1 112 112 112zm76.8 32h-8.3c-20.8 10-43.9 16-68.5 16s-47.6-6-68.5-16h-8.3C51.6 288 0 339.6 0 403.2V432c0 26.5 21.5 48 48 48h288c26.5 0 48-21.5 48-48v-28.8c0-63.6-51.6-115.2-115.2-115.2zM480 256c53 0 96-43 96-96s-43-96-96-96-96 43-96 96 43 96 96 96zm48 32h-3.8c-13.9 4.8-28.6 8-44.2 8s-30.3-3.2-44.2-8H432c-20.4 0-39.2 5.9-55.7 15.4 24.4 26.3 39.7 61.2 39.7 99.8v38.4c0 2.2-.5 4.3-.6 6.4H592c26.5 0 48-21.5 48-48 0-61.9-50.1-112-112-112z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tPotential users\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ee47476 elementor-widget elementor-widget-text-editor\" data-id=\"ee47476\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<ul><li>Urban planners and transportation\u00a0authorities<\/li><li>Mobility\u00a0platform providers (route planning, navigation, Mobility-as-a-Service\u2014MaaS)<\/li><li>Logistics and delivery companies<\/li><li>Developers of smart city solutions and researchers in network science and complex systems<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a39d40c e-con-full e-flex e-con e-child\" data-id=\"a39d40c\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ec50663 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"ec50663\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-industry\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M475.115 163.781L336 252.309v-68.28c0-18.916-20.931-30.399-36.885-20.248L160 252.309V56c0-13.255-10.745-24-24-24H24C10.745 32 0 42.745 0 56v400c0 13.255 10.745 24 24 24h464c13.255 0 24-10.745 24-24V184.029c0-18.917-20.931-30.399-36.885-20.248z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tSectors impacted\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b621f1b elementor-widget elementor-widget-text-editor\" data-id=\"b621f1b\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<ul><li>Smart mobility and transportation systems<\/li><li>Urban planning and infrastructure design<\/li><li>Logistics and supply chain optimization<\/li><li>Digital twins and simulation platforms<\/li><\/ul><p>\u00a0<\/p><p>The main applications include adaptive dynamic routing, congestion simulation and forecasting, data-driven decision support, and analysis of the resilience and robustness of transportation infrastructure.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-58cad77 e-con-full e-flex e-con e-child\" data-id=\"58cad77\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-34bbee6 elementor-position-left elementor-view-default elementor-mobile-position-top elementor-vertical-align-top elementor-widget elementor-widget-icon-box\" data-id=\"34bbee6\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-flag\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M349.565 98.783C295.978 98.783 251.721 64 184.348 64c-24.955 0-47.309 4.384-68.045 12.013a55.947 55.947 0 0 0 3.586-23.562C118.117 24.015 94.806 1.206 66.338.048 34.345-1.254 8 24.296 8 56c0 19.026 9.497 35.825 24 45.945V488c0 13.255 10.745 24 24 24h16c13.255 0 24-10.745 24-24v-94.4c28.311-12.064 63.582-22.122 114.435-22.122 53.588 0 97.844 34.783 165.217 34.783 48.169 0 86.667-16.294 122.505-40.858C506.84 359.452 512 349.571 512 339.045v-243.1c0-23.393-24.269-38.87-45.485-29.016-34.338 15.948-76.454 31.854-116.95 31.854z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tEconomic and social value\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44f3067 elementor-widget elementor-widget-text-editor\" data-id=\"44f3067\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<ul><li>Quantify and predict\u00a0systemic\u00a0inefficiencies in congested networks<\/li><li>Improve\u00a0economic\u00a0efficiency and reduce costs<\/li><li>Enhance\u00a0sustainability and quality of life<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a623bf5 elementor-widget elementor-widget-heading\" data-id=\"a623bf5\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Additional resources and information<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5b9c0fe elementor-widget elementor-widget-text-editor\" data-id=\"5b9c0fe\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<ol><li>Marco Cogoni, Giovanni Busonera, Enrico Gobbetti. <strong>Shape and Performance of Fastest Paths over Networks with Interacting Selfish Agents<\/strong>, Physical Review E, Volume 111, Number 4, page 044318 &#8211; april 2025 <a href=\"https:\/\/arxiv.org\/abs\/2412.17665\">https:\/\/arxiv.org\/abs\/2412.17665<\/a><\/li><li>Marco Cogoni, Giovanni Busonera. <strong>Predicting Network Congestion by Extending Betweenness Centrality to Interacting Agents<\/strong>, Physical Review E American Physical Society pages 044302 vol. 109 num. 4 &#8211; april 2024 <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.109.044302\">https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.109.044302<\/a><\/li><li>Marco Cogoni, Giovanni Busonera. <strong>Stability of traffic breakup patterns in urban networks<\/strong>. Phys. Rev. E American Physical Society, pages L012301 vol. 104 num. 5 &#8211; july 2021 <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.104.L012301\">https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.104.L012301<\/a><\/li><li>Marco Cogoni, Giovanni Busonera, Gianluigi Zanetti. <strong>Ultrametricity of optimal transport substates for multiple interacting paths over a square lattice network<\/strong>, Phys. Rev. E American Physical Society, pages 030108 vol. 95 num. 5 \u2013 march 2017 <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.95.030108\">https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.95.030108 <\/a><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ff92325 elementor-widget elementor-widget-button\" data-id=\"ff92325\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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:\/\/www.crs4.it\/en\/technologies\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-arrow-left\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M257.5 445.1l-22.2 22.2c-9.4 9.4-24.6 9.4-33.9 0L7 273c-9.4-9.4-9.4-24.6 0-33.9L201.4 44.7c9.4-9.4 24.6-9.4 33.9 0l22.2 22.2c9.5 9.5 9.3 25-.4 34.3L136.6 216H424c13.3 0 24 10.7 24 24v32c0 13.3-10.7 24-24 24H136.6l120.5 114.8c9.8 9.3 10 24.8.4 34.3z\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Back to Technology Catalogue<\/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<\/div>\n\t\t<div class=\"elementor-element elementor-element-b2c940a e-con-full e-flex e-con e-child\" data-id=\"b2c940a\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-01142f7 e-con-full e-flex e-con e-child\" data-id=\"01142f7\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7778df6 elementor-view-stacked elementor-position-left elementor-vertical-align-bottom elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"7778df6\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-layer-group\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M12.41 148.02l232.94 105.67c6.8 3.09 14.49 3.09 21.29 0l232.94-105.67c16.55-7.51 16.55-32.52 0-40.03L266.65 2.31a25.607 25.607 0 0 0-21.29 0L12.41 107.98c-16.55 7.51-16.55 32.53 0 40.04zm487.18 88.28l-58.09-26.33-161.64 73.27c-7.56 3.43-15.59 5.17-23.86 5.17s-16.29-1.74-23.86-5.17L70.51 209.97l-58.1 26.33c-16.55 7.5-16.55 32.5 0 40l232.94 105.59c6.8 3.08 14.49 3.08 21.29 0L499.59 276.3c16.55-7.5 16.55-32.5 0-40zm0 127.8l-57.87-26.23-161.86 73.37c-7.56 3.43-15.59 5.17-23.86 5.17s-16.29-1.74-23.86-5.17L70.29 337.87 12.41 364.1c-16.55 7.5-16.55 32.5 0 40l232.94 105.59c6.8 3.08 14.49 3.08 21.29 0L499.59 404.1c16.55-7.5 16.55-32.5 0-40z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tCategory\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-227af0c elementor-widget elementor-widget-text-editor\" data-id=\"227af0c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p>Theme:<br \/><strong>ICT<\/strong><\/p><p>Domain:<br \/><strong>Urban <\/strong><strong>Mobility<\/strong><\/p><p>Specialization area:<br \/><strong>Logistics<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-c87915f e-con-full e-flex e-con e-child\" data-id=\"c87915f\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-74ad999 elementor-view-stacked elementor-position-left elementor-vertical-align-bottom elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"74ad999\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-check-circle\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M504 256c0 136.967-111.033 248-248 248S8 392.967 8 256 119.033 8 256 8s248 111.033 248 248zM227.314 387.314l184-184c6.248-6.248 6.248-16.379 0-22.627l-22.627-22.627c-6.248-6.249-16.379-6.249-22.628 0L216 308.118l-70.059-70.059c-6.248-6.248-16.379-6.248-22.628 0l-22.627 22.627c-6.248 6.248-6.248 16.379 0 22.627l104 104c6.249 6.249 16.379 6.249 22.628.001z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tStatus\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4484cd1 elementor-widget elementor-widget-text-editor\" data-id=\"4484cd1\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p><strong>Type <\/strong><strong>of <\/strong><strong>innovation<\/strong>:<br \/>incremental, modular<\/p><p><strong>Product <\/strong><strong>type<\/strong>:<br \/>software<\/p><p><strong>Emerging <\/strong><strong>technologies <\/strong><strong>adopted<\/strong>:<br \/>Computational modeling and Simulation, Advanced metrics, and Data analysis.<\/p><p><strong>Stage of <\/strong><strong>technological <\/strong><strong>development<\/strong>:<br \/>TRL 3-4<\/p><p><strong>Intellectual <\/strong><strong>property <\/strong><strong>characteristics<\/strong>: proprietary code<\/p><p><strong>Other partners<\/strong>:<br \/>No<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e81cdcd e-con-full e-flex e-con e-child\" data-id=\"e81cdcd\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5178f20 elementor-view-stacked elementor-position-left elementor-vertical-align-bottom elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"5178f20\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-tag\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M0 252.118V48C0 21.49 21.49 0 48 0h204.118a48 48 0 0 1 33.941 14.059l211.882 211.882c18.745 18.745 18.745 49.137 0 67.882L293.823 497.941c-18.745 18.745-49.137 18.745-67.882 0L14.059 286.059A48 48 0 0 1 0 252.118zM112 64c-26.51 0-48 21.49-48 48s21.49 48 48 48 48-21.49 48-48-21.49-48-48-48z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tKeywords\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-04697bd elementor-widget elementor-widget-text-editor\" data-id=\"04697bd\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<ol><li><strong>Route <\/strong><strong>Optimization<\/strong><strong>\u00a0<\/strong><strong>Algorithms<\/strong><\/li><li><strong>Network Congestion Management<\/strong><\/li><li><strong>Multi-agent Systems<\/strong><\/li><li><strong>Simulation-based<\/strong><strong>\u00a0<\/strong><strong>Decision<\/strong><strong> Support<\/strong><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-cf457b4 e-con-full e-flex e-con e-child\" data-id=\"cf457b4\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9bb45b6 elementor-view-stacked elementor-position-left elementor-vertical-align-bottom elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"9bb45b6\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-paper-plane\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tContacts\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ab69c9c elementor-widget elementor-widget-text-editor\" data-id=\"ab69c9c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p><strong>Marco Cogoni<\/strong><strong><br \/><\/strong>\u2013 industrial collaborations<br \/>\u2013 pilot projects and demonstrators<br \/>\u2013 technology transfer (licensing)<\/p><p><span style=\"font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, 'Helvetica Neue', Arial, 'Noto Sans', sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji';\"><strong>For information<\/strong> <\/span><a style=\"font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, 'Helvetica Neue', Arial, 'Noto Sans', sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji';\" href=\"mailto:valorisation@crs4.it\">valorisation@crs4.it<\/a><\/p><p><strong>\u00a0<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-38fa130 e-con-full e-flex e-con e-child\" data-id=\"38fa130\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6c645a2 elementor-view-stacked elementor-position-left elementor-vertical-align-bottom elementor-shape-circle elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"6c645a2\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-calendar-alt\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M0 464c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48V192H0v272zm320-196c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12h-40c-6.6 0-12-5.4-12-12v-40zm0 128c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12h-40c-6.6 0-12-5.4-12-12v-40zM192 268c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12h-40c-6.6 0-12-5.4-12-12v-40zm0 128c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12h-40c-6.6 0-12-5.4-12-12v-40zM64 268c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12H76c-6.6 0-12-5.4-12-12v-40zm0 128c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12H76c-6.6 0-12-5.4-12-12v-40zM400 64h-48V16c0-8.8-7.2-16-16-16h-32c-8.8 0-16 7.2-16 16v48H160V16c0-8.8-7.2-16-16-16h-32c-8.8 0-16 7.2-16 16v48H48C21.5 64 0 85.5 0 112v48h448v-48c0-26.5-21.5-48-48-48z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tDate\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1bc3fbb elementor-widget elementor-widget-text-editor\" data-id=\"1bc3fbb\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" 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<p><strong>Last update<\/strong>: 25\/03\/2026<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\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>TECHNOLOGY CATALOGUE CRS4 Optimal Routes Digital Platform for Labs Structure and performance of the fastest routes on networks with interacting self-interested agents Background Modern\u00a0transportation and network systems \u2013 such as urban mobility, logistics, and communication networks \u2013 are increasingly affected by congestion caused by users who make decisions autonomously and are driven by personal interests. [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":757889,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[149],"tags":[],"class_list":["post-819782","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ct"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Optimal Routes - Structure and performance of the fastest routes on networks with interacting self-interested agents - CRS4<\/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.crs4.it\/en\/ct\/percorsiottimali\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimal Routes - Structure and performance of the fastest routes on networks with interacting self-interested agents - CRS4\" \/>\n<meta property=\"og:description\" content=\"TECHNOLOGY CATALOGUE CRS4 Optimal Routes Digital Platform for Labs Structure and performance of the fastest routes on networks with interacting self-interested agents Background Modern\u00a0transportation and network systems \u2013 such as urban mobility, logistics, and communication networks \u2013 are increasingly affected by congestion caused by users who make decisions autonomously and are driven by personal interests. 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