{"id":1758,"date":"2017-05-31T17:50:33","date_gmt":"2017-05-31T15:50:33","guid":{"rendered":"http:\/\/en.advancedfleetmanagementconsulting.com\/?p=1758"},"modified":"2020-01-29T11:28:36","modified_gmt":"2020-01-29T10:28:36","slug":"fleet-sizing-and-service-availability-for-a-vehicle-rental-system-via-closed-queueing-networks","status":"publish","type":"post","link":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/2017\/05\/31\/fleet-sizing-and-service-availability-for-a-vehicle-rental-system-via-closed-queueing-networks\/","title":{"rendered":"Fleet-sizing and service availability for a vehicle rental system via closed queueing networks"},"content":{"rendered":"<h5 class=\"js-post-title post-title\" style=\"text-align: center\"><span style=\"color: #0000ff\"><a class=\"js-post-title-link title-link\" style=\"color: #0000ff\" href=\"https:\/\/www.linkedin.com\/groups\/8603639\/8603639-6275706348747390980\" data-app-link=\"\">Fleet-sizing and service availability for a vehicle rental system via closed queueing networks<\/a><\/span><\/h5>\n<p style=\"text-align: justify\">In this paper, we address the problem of determining the optimal fleet size for a vehicle rental company and derive analytical results for its relationship to vehicle availability at each rental station in the company\u2019s network of locations. This work is motivated by the recent surge in interest for bicycle and electric car sharing systems, one example being the French program V\u00e9lib (2010). We first formulate a closed queueing network model of the system, obtained by viewing the system from the vehicle\u2019s perspective. Using this framework, we are able to derive the asymptotic behavior of vehicle availability at an arbitrary rental station with respect to fleet size. These results allow us to analyze imbalances in the system and propose some basic principles for the design of system balancing methods. We then develop a profit-maximizing optimization problem for determining optimal fleet size. The large-scale nature of real-world systems results in computational difficulties in obtaining this exact solution, and so we provide an approximate formulation that is easier to solve and which becomes exact as the fleet size becomes large. To illustrate our findings and validate our solution methods, we provide numerical results on some sample networks. David K. George, Cathy H. Xia.<\/p>\n<p style=\"text-align: center\"><span style=\"color: #0000ff\">http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377221710008817<\/span><\/p>\n<h5 style=\"text-align: center\"><span style=\"color: #0000ff\">Join to The Fleet Management Group<\/span><\/h5>\n<p style=\"text-align: justify\"><a href=\"https:\/\/www.linkedin.com\/groups\/8603639\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-1677\" src=\"http:\/\/en.advancedfleetmanagementconsulting.com\/wp-content\/uploads\/2017\/04\/Logo.jpg\" alt=\"Logo\" width=\"3995\" height=\"882\" srcset=\"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-content\/uploads\/sites\/3\/2017\/04\/Logo.jpg 3995w, https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-content\/uploads\/sites\/3\/2017\/04\/Logo-300x66.jpg 300w, https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-content\/uploads\/sites\/3\/2017\/04\/Logo-1024x226.jpg 1024w\" sizes=\"(max-width: 3995px) 100vw, 3995px\" \/><\/a>In this group, you can know and share knowledge, experiences and meet people interested in Fleet Management over the world. Each week we publish posts, conferences, news, scientific papers, and technology related to Fleet Management.<\/p>\n<p style=\"text-align: center\"><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/www.linkedin.com\/groups\/8603639\" target=\"_blank\" rel=\"noopener noreferrer\">FLEET MANAGEMENT GROUP<\/a><\/span><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fleet-sizing and service availability for a vehicle rental system via closed queueing networks In this paper, we address the problem of determining the optimal fleet size for a vehicle rental company and derive analytical results for its relationship to vehicle availability at each rental station in the company\u2019s network of locations. This work is motivated&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18],"tags":[25],"_links":{"self":[{"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/posts\/1758"}],"collection":[{"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/comments?post=1758"}],"version-history":[{"count":1,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/posts\/1758\/revisions"}],"predecessor-version":[{"id":4122,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/posts\/1758\/revisions\/4122"}],"wp:attachment":[{"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/media?parent=1758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/categories?post=1758"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/advancedfleetmanagementconsulting.com\/eng\/wp-json\/wp\/v2\/tags?post=1758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}