{"id":80749,"date":"2024-12-11T13:31:11","date_gmt":"2024-12-11T12:31:11","guid":{"rendered":"https:\/\/www.sogelink.com\/?p=80749"},"modified":"2025-01-13T11:40:34","modified_gmt":"2025-01-13T10:40:34","slug":"traveling-salesman-problem-opgelost","status":"publish","type":"post","link":"https:\/\/www.sogelink.com\/nl\/innovatie-nl\/traveling-salesman-problem-opgelost\/","title":{"rendered":"Traveling Salesman Problem opgelost"},"content":{"rendered":"\t<section id=\"presentation\" class=\"py-8 mt-6 scrolling rich-content lg:pl-12\">\n\t\t<div class=\"px-[41px] lg:container\">\n\t\t\t<div class=\"relative w-full mx-auto desktop:w-9\/12\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 w-4 lg:w-6 octogone-blue -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-blue.svg\">\n\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 hidden w-4 lg:w-6 octogone-white -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-white.svg\">\n\t\t\t\t\t\t\t\t<div class=\"intro\">\n<div class=\"container\">\n<div class=\"row no-gutters bg-kleur\">\n<div class=\"col-xs-12 col-xs-offset-0 col-md-8 offset-md-2\">\n<div class=\"content\">\n<div class=\"tekst\">\n<p>Sogelink heeft al jaren antwoorden op het Traveling Salesman Problem (TSP). Dit zelfs gesimplificeerd in de vorm van een toegankelijke webservice. Het geeft antwoord op de vraag: wat is de meest logische route langs een reeks van adressen? In dit artikel vind je uitleg over wat het probleem inhoudt en hoe je het na het lezen van dit artikel zelf kan oplossen.<\/p>\n<p><a href=\"https:\/\/www.geodan.nl\/kennis-en-innovatie\/traveling-salesman-problem-tsp-opgelost\/#api\" data-anchor=\"#api\"><span class=\"btn\">Probeer API gratis<\/span><\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"background-none\">\n<div class=\"container\">\n<div class=\"row\">\n<div class=\"col-md-6 \">\n<div class=\"tekst_banner aos-init\" data-aos=\"fade-up\">\n<article>\n<header>\n<div class=\"subtitel\"><\/div>\n<\/header>\n<\/article>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/section>\n\t\n\n\t<section id=\"presentation\" class=\"py-8 mt-6 scrolling rich-content lg:pl-12\">\n\t\t<div class=\"px-[41px] lg:container\">\n\t\t\t<div class=\"relative w-full mx-auto desktop:w-9\/12\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 w-4 lg:w-6 octogone-blue -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-blue.svg\">\n\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 hidden w-4 lg:w-6 octogone-white -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-white.svg\">\n\t\t\t\t\t\t\t\t<header>\n<h2>De uitdaging van het Travelling Salesman Problem<\/h2>\n<\/header>\n<div class=\"tekst\">\n<p>Het travelling salesman problem is een bekend probleem binnen de wereld van de wiskunde, computerwetenschap en komt in de praktijk vaak bij logisitkek voor.<\/p>\n<p>Het gaat om het vinden van de kortste route die een zogenaamde reizende verkoper kan nemen om een aantal steden te bezoeken en terug te keren naar zijn vertrekpunt. Het probleem wordt als uitdagend beschouwd vanwege de vele mogelijke routes die de &#8216;verkoper&#8217; kan nemen en de tijd die het kost om alle mogelijke routes te berekenen.<\/p>\n<p>Het oplossen van het travelling salesman problem heeft veel praktische toepassingen, zoals het optimaliseren van de routeplanning voor transportbedrijven en het minimaliseren van de kosten<\/p>\n<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/section>\n\t\n\n\t<section id=\"presentation\" class=\"py-8 mt-6 scrolling rich-content lg:pl-12\">\n\t\t<div class=\"px-[41px] lg:container\">\n\t\t\t<div class=\"relative w-full mx-auto desktop:w-9\/12\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 w-4 lg:w-6 octogone-blue -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-blue.svg\">\n\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 hidden w-4 lg:w-6 octogone-white -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-white.svg\">\n\t\t\t\t\t\t\t\t<header>\n<h2>Waarom Travelling Salesman Problem oplossen?<\/h2>\n<\/header>\n<div class=\"tekst\">\n<p>Optimalisatie van routes voor het Travelling Salesman Problem (TSP) kan een enorme uitdaging zijn. Het probleem gaat over het vinden van de kortste route die een object (auto, fiets, vrachtwagen, e-bike, elektrisch voertuig of te voet) kan afleggen om alle bepaalde locaties te bezoeken en weer terug te keren naar het beginpunt. Het probleem is zo moeilijk omdat het aantal mogelijke routes exponentieel toeneemt naarmate het aantal locaties toeneemt. Voor grote aantallen locaties is het vinden van de optimale oplossing onmogelijk.<\/p>\n<p>Sogelink kraakte jaren terug al het probleem en heeft dit in een webservice verwerkt. Zo bereken je de kortste route in enkele secondes met behulp van location intelligence.<\/p>\n<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/section>\n\t\n\n\t<section id=\"presentation\" class=\"py-8 mt-6 scrolling rich-content lg:pl-12\">\n\t\t<div class=\"px-[41px] lg:container\">\n\t\t\t<div class=\"relative w-full mx-auto desktop:w-9\/12\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 w-4 lg:w-6 octogone-blue -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-blue.svg\">\n\t\t\t\t\t<img decoding=\"async\" class=\"absolute top-0 hidden w-4 lg:w-6 octogone-white -left-8 lg:-left-12\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/octogone-active-white.svg\">\n\t\t\t\t\t\t\t\t<header>\n<h2>Eenvoudig oplossing voor complex probleem<\/h2>\n<\/header>\n<div class=\"tekst\">\n<p>Sogelink heeft al jaren een webservice: de TSP-service, het antwoord op het Travelling Salesman Problem (TSP).<\/p>\n<p>DeTravelling Salesman Problem webservice geeft antwoord op de vraag: wat is de meest logische route langs een reeks van adressen?<\/p>\n<p>Als voorbeeld heeft Rhenus het TSP-webservice zelf kunnen integreren in haar eigen software. De TSP-service maakt achter de schermen gebruik van Sogelink&#8217;s vrachtwagennetwerk, met daarin data van partner TomTom.<\/p>\n<p>Daarin is voor het hele wegennetwerk te vinden welke snelheid vrachtwagens gemiddeld genomen rijden. Dit bepaalt samen met bijvoorbeeld mogelijke belemmeringen voor vrachtwagens, zoals brughoogtes, de effici\u00ebntste route om klanten te bezoeken.<\/p>\n<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/section>\n\t\n\n<!-- Contact -->\n<div class=\"contact py-[50px] px-[41px] lg:container\">\n    <div class=\"relative w-full mx-auto desktop:w-10\/12\">\n        <div class=\"rounded-[20px] flex-wrap lg:flex-nowrap flex items-center justify-center gap-10 overflow-hidden border-b-[34px] border-r-0 lg:border-b-0 lg:border-r-[34px] border-blue-2\">\n            <div class=\"relative w-full h-[360px]\">\n                <img decoding=\"async\" class=\"absolute top-0 left-0 object-cover w-full h-full\" src=\"https:\/\/www.sogelink.com\/wp-content\/uploads\/2024\/11\/AdobeStock_219103893-copie-1-scaled_test-3.webp\" alt=\"Sogelink\" srcset=\"\">\n            <\/div>\n            <div class=\"flex flex-row items-start gap-4 mb-5 text-center lg:mb-0 lg:text-left\">\n                <img 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class=\"frm_form_fields \">\n<fieldset>\n<legend class=\"frm_screen_reader\">NL_M&#038;M_GeodanMaps_ContactRoutingAPI_Form_GeoIntelligence<\/legend>\r\n\r\n<div class=\"frm_fields_container\">\n<input type=\"hidden\" name=\"frm_action\" value=\"create\" \/>\n<input type=\"hidden\" name=\"form_id\" value=\"225\" \/>\n<input type=\"hidden\" name=\"frm_hide_fields_225\" id=\"frm_hide_fields_225\" value=\"\" \/>\n<input type=\"hidden\" name=\"form_key\" value=\"contact-us-gointelligence-geodanmaps-contact-cursus-routing-api\" \/>\n<input type=\"hidden\" name=\"item_meta[0]\" value=\"\" \/>\n<input type=\"hidden\" id=\"frm_submit_entry_225\" name=\"frm_submit_entry_225\" value=\"a2a107c607\" \/><input type=\"hidden\" name=\"_wp_http_referer\" value=\"\/nl\/wp-json\/wp\/v2\/posts\/80749\" \/><div id=\"frm_field_3750_container\" class=\"frm_form_field form-field  frm_required_field frm_top_container frm6 frm_first\">\r\n    <label for=\"field_5cfua443435532\" id=\"field_5cfua443435532_label\" 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data-reqmsg=\"Dit veld dient nog ingevuld te worden.\" aria-required=\"true\" data-invmsg=\"Nummer is ongeldig\" aria-invalid=\"false\"   \/>\r\n    \r\n    \r\n<\/div>\n<div id=\"frm_field_3757_container\" class=\"frm_form_field form-field  frm_required_field frm_top_container frm6\">\r\n    <label for=\"field_k7dnv4532\" id=\"field_k7dnv4532_label\" class=\"frm_primary_label\">Plaatsnaam\r\n        <span class=\"frm_required\" aria-hidden=\"true\">*<\/span>\r\n    <\/label>\r\n    <input  type=\"text\" id=\"field_k7dnv4532\" name=\"item_meta[3757]\" value=\"\"  data-reqmsg=\"Dit veld dient nog ingevuld te worden.\" aria-required=\"true\" data-invmsg=\"texte est non valide\" aria-invalid=\"false\"   \/>\r\n    \r\n    \r\n<\/div>\n<div id=\"frm_field_3758_container\" class=\"frm_form_field form-field  frm_required_field frm_top_container frm12 frm_first\">\r\n    <label for=\"field_dtqzg443435532\" id=\"field_dtqzg443435532_label\" class=\"frm_primary_label\">Land\r\n        <span class=\"frm_required\" aria-hidden=\"true\">*<\/span>\r\n    <\/label>\r\n    \t\t<select name=\"item_meta[3758]\" id=\"field_dtqzg443435532\"  data-reqmsg=\"Dit veld dient nog ingevuld te worden.\" aria-required=\"true\" data-invmsg=\"Land is invalid\" aria-invalid=\"false\"  >\n\t\t<option  value=\"Netherlands\">Nederland<\/option><option  value=\"Andorra\">Andorra<\/option><option  value=\"United Arab Emirates\">Verenigde Arabische Emiraten<\/option><option  value=\"Afghanistan\">Afghanistan<\/option><option  value=\"Antigua and Barbuda\">Antigua en Barbuda<\/option><option  value=\"Anguilla\">Anguilla<\/option><option  value=\"Albania\">Albani\u00eb<\/option><option  value=\"Armenia\">Armeni\u00eb<\/option><option  value=\"Angola\">Angola<\/option><option  value=\"Antarctica\">Antarctica<\/option><option  value=\"Argentina\">Argentini\u00eb<\/option><option  value=\"Austria\">Oostenrijk<\/option><option  value=\"Australia\">Australi\u00eb<\/option><option  value=\"Aruba\">Aruba<\/option><option  value=\"Aland Islands\">\u00c5landseilanden<\/option><option  value=\"Azerbaijan\">Azerbeidzjan<\/option><option  value=\"Bosnia and Herzegovina\">Bosni\u00eb en Herzegovina<\/option><option  value=\"Barbados\">Barbados<\/option><option  value=\"Bangladesh\">Bangladesh<\/option><option  value=\"Belgium\">Belgi\u00eb<\/option><option  value=\"Burkina Faso\">Burkina Faso<\/option><option  value=\"Bulgaria\">Bulgarije<\/option><option  value=\"Bahrain\">Bahrein<\/option><option  value=\"Burundi\">Burundi<\/option><option  value=\"Benin\">Benin<\/option><option  value=\"Saint Barth\u00e9lemy\">Saint Barth\u00e9lemy<\/option><option  value=\"Bermuda\">Bermuda<\/option><option  value=\"Brunei Darussalam\">Brunei Darussalam<\/option><option  value=\"Bolivia, Plurinational State of\">Bolivia<\/option><option  value=\"Bonaire, Sint Eustatius, and Saba\">Bonaire, Sint Eustatius en Saba<\/option><option  value=\"Brazil\">Brazili\u00eb<\/option><option  value=\"Bahamas\">Bahama&#039;s<\/option><option  value=\"Bhutan\">Bhutan<\/option><option  value=\"Bouvet Island\">Bouvet Eiland<\/option><option  value=\"Botswana\">Botswana<\/option><option  value=\"Belarus\">Wit-Rusland<\/option><option  value=\"Belize\">Belize<\/option><option  value=\"Canada\">Canada<\/option><option  value=\"Cocos (Keeling) Islands\">Cocos (Keeling) Eilanden<\/option><option  value=\"Congo, the Democratic Republic of the\">Congo, de Democratische Republiek Congo<\/option><option  value=\"Central African Republic\">Centraal-Afrikaanse Republiek<\/option><option  value=\"Congo\">Congo<\/option><option  value=\"Switzerland\">Zwitserland<\/option><option  value=\"Cote d\u2019Ivoire\">Ivoorkust<\/option><option  value=\"Cook Islands\">Cook Eilanden<\/option><option  value=\"Chile\">Chili<\/option><option  value=\"Cameroon\">Kameroen<\/option><option  value=\"China\">China<\/option><option  value=\"Colombia\">Colombia<\/option><option  value=\"Costa Rica\">Costa Rica<\/option><option  value=\"Cape Verde\">Kaapverdi\u00eb<\/option><option  value=\"Cura\u00e7ao\">Cura\u00e7ao<\/option><option  value=\"Christmas Island\">Kerstmis Eiland<\/option><option  value=\"Cyprus\">Cyprus<\/option><option  value=\"Czechia\">Tsjechi\u00eb<\/option><option  value=\"Germany\">Duitsland<\/option><option  value=\"Djibouti\">Djibouti<\/option><option  value=\"Denmark\">Denemarken<\/option><option  value=\"Dominica\">Dominica<\/option><option  value=\"Dominican Republic\">Dominicaanse Republiek<\/option><option  value=\"Algeria\">Algerije<\/option><option  value=\"Ecuador\">Ecuador<\/option><option  value=\"Estonia\">Estland<\/option><option  value=\"Egypt\">Egypte<\/option><option  value=\"Western Sahara\">Westelijke Sahara<\/option><option  value=\"Eritrea\">Eritrea<\/option><option  value=\"Spain\">Spanje<\/option><option  value=\"Ethiopia\">Ethiopi\u00eb<\/option><option  value=\"Finland\">Finland<\/option><option  value=\"Fiji\">Fiji<\/option><option  value=\"Falkland Islands (Malvinas)\">Falklandeilanden (Malvinas)<\/option><option  value=\"Faroe Islands\">Faer\u00f6er Eilanden<\/option><option  value=\"France\">Frankrijk<\/option><option  value=\"Gabon\">Gabon<\/option><option  value=\"United Kingdom\">Verenigd Koninkrijk<\/option><option  value=\"Grenada\">Grenada<\/option><option  value=\"Georgia\">Georgi\u00eb<\/option><option  value=\"French Guiana\">Frans Guyana<\/option><option  value=\"Guernsey\">Guernsey<\/option><option  value=\"Ghana\">Ghana<\/option><option  value=\"Gibraltar\">Gibraltar<\/option><option  value=\"Greenland\">Groenland<\/option><option  value=\"Gambia\">Gambia<\/option><option  value=\"Guinea\">Guinee<\/option><option  value=\"Guadeloupe\">Guadeloupe<\/option><option  value=\"Equatorial Guinea\">Equatoriaal-Guinea<\/option><option  value=\"Greece\">Griekenland<\/option><option  value=\"South Georgia and the South Sandwich Islands\">Zuid-Georgi\u00eb en de Zuid-Sandwicheilanden<\/option><option  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klikken, ga je ermee akkoord dat we je marketinginformatie sturen over onze producten, diensten of evenementen. Dit kan via e-mail, sms, telefoon, post, sociale media of online advertenties. Je kunt je altijd afmelden. Wil je weten hoe we met jouw gegevens omgaan? Bekijk dan ons\u00a0<a href=\"https:\/\/www.sogelink.com\/nl\/privacy-statement\/\"><u>Privacybeleid<\/u><\/a>.<\/p>\n<\/div>\n<div id=\"frm_field_3763_container\" class=\"frm_form_field form-field  frm_none_container\">\r\n    <label for=\"cf-turnstile-response\" id=\"field_w4qrt443435532_label\" class=\"frm_primary_label\">CAPTCHA\r\n        <span class=\"frm_required\" aria-hidden=\"true\"><\/span>\r\n    <\/label>\r\n    <div  id=\"field_w4qrt443435532\" class=\"frm-cf-turnstile\" data-sitekey=\"0x4AAAAAAB6ear9nF7JhnGCM\" data-language=\"nl-NL\" data-size=\"normal\" data-theme=\"light\"><\/div>\r\n    \r\n    \r\n<\/div>\n<div id=\"frm_field_3907_container\" class=\"frm_form_field form-field \">\r\n\t<div class=\"frm_submit\">\r\n\r\n<button class=\"frm_button_submit frm_final_submit\" type=\"submit\"   formnovalidate=\"formnovalidate\">Verzenden<\/button>\r\n\r\n<\/div>\r\n<\/div>\n\t<input type=\"hidden\" name=\"item_key\" value=\"\" \/>\n\t\t\t<div id=\"frm_field_5891_container\">\n\t\t\t<label for=\"field_9gx7f\" >\n\t\t\t\tIf you are human, leave this field blank.\t\t\t<\/label>\n\t\t\t<input  id=\"field_9gx7f\" type=\"text\" class=\"frm_form_field form-field frm_verify\" name=\"item_meta[5891]\" value=\"\"  \/>\n\t\t<\/div>\n\t\t<input name=\"frm_state\" type=\"hidden\" value=\"1J4Dpd5Hicc+iELMNPNfFKfM09MZRFKoTjLUk4obcL17xKNfiOQT8dRu4RqropdU\" \/><script type=\"text\/javascript\">\r\ndocument.addEventListener('DOMContentLoaded', function () {\r\n  var field = document.getElementById('field_g32q0');\r\n  if (field) {\r\n    field.value = window.location.href;\r\n  }\r\n});\r\n<\/script>\r\n<\/div>\n<\/fieldset>\n<\/div>\n\n<\/form>\n<\/div>\n            <\/div>\n        <\/div>\n        <img decoding=\"async\" class=\"absolute w-5 h-5 cursor-pointer close-dialog top-5 right-5\" src=\"https:\/\/www.sogelink.com\/wp-content\/themes\/hh-theme\/assets\/svg\/ic_fermer.svg\">\n    <\/dialog>\n","protected":false},"excerpt":{"rendered":"<p>Er zijn verschillende oplossingen door de jaren heen ontwikkeld voor het travelling salesman problem, waaronder de Brute Force-methode en heuristische algoritmen.<\/p>\n","protected":false},"author":28,"featured_media":73063,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[509,523],"tags":[],"class_list":["post-80749","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nieuws","category-innovatie-nl"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Traveling Salesman Problem opgelost - Sogelink<\/title>\n<meta name=\"description\" content=\"Uitleg over het Traveling Salesman Problem vind je hier. 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