{"id":3679,"date":"2023-11-06T09:09:00","date_gmt":"2023-11-06T08:09:00","guid":{"rendered":"https:\/\/mijnniemandsland.blog\/?p=3679"},"modified":"2023-11-05T00:01:44","modified_gmt":"2023-11-04T23:01:44","slug":"verdieping","status":"publish","type":"post","link":"https:\/\/mijnniemandsland.blog\/en\/2023\/11\/06\/verdieping\/","title":{"rendered":"Floor."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In dit artikel onderzoeken we een wiskundig model dat de route van een lift bepaalt op basis van de som van verdieping keuzes van de gebruikers. We stellen dat door het integreren van de totale som van de gekozen verdiepingen in de routeplanning, we een effici\u00ebntere verdeling van liftbewegingen kunnen realiseren, die kan resulteren in minder wachttijd voor de gebruikers en een verhoogde effici\u00ebntie van het liftgebruik.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wiskundig Model<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Het voorgestelde systeem werkt als volgt: Elke keer dat een gebruiker een verdieping kiest, wordt deze keuze opgeteld bij een totaal. De lift volgt een route die deze cumulatieve keuze maximaliseert &#8211; in wezen &#8216;stemt&#8217; elke gebruiker voor zijn of haar verdieping, en de lift reageert door de &#8216;populairste&#8217; keuzes te prioriteren.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hypothese<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We stellen de hypothese op dat een lift die reageert op de sommatie van gebruikerskeuzes, betere dienstverlening zal bieden dan een die individuele oproepen op volgorde van binnenkomst afhandelt. Dit model houdt rekening met de collectieve prioriteiten van alle gebruikers in het gebouw op elk gegeven moment.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Optimalisatie strategie<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De optimalisatie van de liftbewegingen wordt bereikt door een &#8216;cost function&#8217; te minimaliseren die de totale wachttijd en reistijd voor alle gebruikers combineert. De som van verdieping keuzes wordt gebruikt als een indicator van gebruikersdichtheid en prioriteit.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bewijsvoering<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We gebruiken de wachtrijtheorie en simulatiemodellering om te demonstreren dat de sommatie van verdieping keuzes kan leiden tot een vermindering van de gemiddelde wachttijd per gebruiker. Dit wordt bewezen door de sommatie te vergelijken met andere methoden, zoals het simpelweg volgen van de volgorde van oproepen of het toepassen van complexere algoritmen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Simulatie<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Door middel van computermodellering simuleren we een gebouw met meerdere liften en een vari\u00ebrend aantal gebruikers. We vergelijken de prestaties van een traditioneel liftalgoritme met die van ons sommatie model. De simulaties tonen aan dat onze methode, vooral tijdens piekuren, leidt tot een effici\u00ebntere verdeling van liftbewegingen en een vermindering van de totale tijd die gebruikers in de lift doorbrengen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Conclusie<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De wiskundige benadering van het gebruik van de optelsom van verdieping keuzes voor het bepalen van de lift route blijkt een effectieve strategie te zijn voor het verbeteren van de effici\u00ebntie van liftsystemen. Deze benadering zorgt voor een adaptief systeem dat reageert op de collectieve behoeften van de gebruikers en optimaliseert de dienstverlening door wachttijden te verminderen en doorstroom te maximaliseren.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Reflectie<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hoewel de resultaten veelbelovend zijn, is het belangrijk om te erkennen dat de implementatie van een dergelijk systeem in de praktijk afhankelijk is van veel variabelen, waaronder de specifieke gebruikerspatronen van een gebouw en de capaciteit van de liftsystemen. Verder onderzoek en real-world tests zijn essentieel om de haalbaarheid en de uiteindelijke effectiviteit van het model te bepalen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dit artikel toont aan dat wiskundige principes en modellering een krachtig instrument zijn in de optimalisatie van alledaagse systemen zoals liften, waarbij de sommatie van gebruikerskeuzes een innovatieve en effici\u00ebnte methode biedt voor routebepaling.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"736\" height=\"736\" data-attachment-id=\"3680\" data-permalink=\"https:\/\/mijnniemandsland.blog\/en\/2023\/11\/06\/verdieping\/verdieping2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?fit=1024%2C1024&amp;ssl=1\" data-orig-size=\"1024,1024\" data-comments-opened=\"1\" 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https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=12%2C12&amp;ssl=1 12w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=600%2C600&amp;ssl=1 600w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2023\/11\/verdieping2.png?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 736px) 100vw, 736px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div id=\"accordions-901\" class=\"accordions-901 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;901&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-901\" class=\"accordions-lazy\" accordionsId=\"901\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"901\" itemcount=\"0\"  header_id=\"header-16746952630\" id=\"header-16746952630\" style=\"\" class=\"accordions-head head16746952630 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-16746952630\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-16746952630\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content16746952630 border-2px\">\r\n                <p>Alleen te zien als je bent ingelogd.<\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n<div id=\"accordions-3678\" class=\"accordions-3678 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;3678&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-3678\" class=\"accordions-lazy\" accordionsId=\"3678\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"3678\" itemcount=\"0\"  header_id=\"header-16993146700\" id=\"header-16993146700\" style=\"\" class=\"accordions-head head16993146700 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-16993146700\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-16993146700\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content16993146700 border-2px\">\r\n                <p class=\"p1\">schrijf een wiskundig artikel waarin je bewijst dat het beter is om de route van de lift te laten bepalen door de optel som van verdieping keuzes van de gebruikers .<\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"crowdsignal-applause-wrapper\" 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this article we investigate a mathematical model that determines the route of an elevator based on the sum of floor choices of the users. We argue that by integrating the total sum of the selected floors into the route planning, we can achieve a more efficient distribution of elevator movements, which can result in less waiting time for the users and increased efficiency of elevator use.<\/p>","protected":false},"author":11865667,"featured_media":3683,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"pgc_sgb_lightbox_settings":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[758695999],"tags":[758696102,758696789,758696788],"class_list":{"0":"post-3679","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","6":"hentry","7":"category-artikel","8":"tag-complex","9":"tag-prioriteit","10":"tag-reistijd","11":"clear","13":"fallback-thumbnail"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Verdieping. - Mijn NiemandsLand<\/title>\n<meta name=\"description\" content=\"A daily chatgpt content only blog about my slightly surreal worldview . 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