{"id":4798,"date":"2025-05-07T15:13:36","date_gmt":"2025-05-07T09:43:36","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=4798"},"modified":"2025-07-22T13:21:22","modified_gmt":"2025-07-22T07:51:22","slug":"queueing-theory","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory","title":{"rendered":"Queueing Theory"},"content":{"rendered":"<p style=\"text-align: justify;\">Queueing theory is used in service oriented organization, <a href=\"https:\/\/study.madeeasy.in\/ee\/electrical-machines\/excitation-systems\/\" target=\"_blank\" rel=\"noopener\">machine<\/a> repair shop, in case of semifinished products waiting for finishing operation.<\/p>\n<p style=\"text-align: justify;\">The main objective is to maintain the capability for service at levels sufficient to keep the waiting time to certain acceptable average levels.<\/p>\n<h2 style=\"text-align: justify;\">Characteristic of Queueing Theory Model<\/h2>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/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:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Arrival-Pattern-of-Clients\" >Arrival Pattern of Clients<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Service-Discipline\" >Service Discipline<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Number-of-Servers-and-Service-Channels\" >Number of Servers and Service Channels<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Service-Pattern\" >Service Pattern<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Calling-population\" >Calling population<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.madeeasy.in\/study\/me\/industrial-engineering\/queueing-theory\/#Customer-Behavior\" >Customer Behavior<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Arrival-Pattern-of-Clients\"><\/span>Arrival Pattern of Clients<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">In most of the cases random arrival is observed which is best described by Poisson\u2019s process. If the arrivals are governed by Poisson\u2019s process then the time between arrivals is exponentially distributed.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Service-Discipline\"><\/span>Service Discipline<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">It tells about the ways in which the customers are being served in the system.<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u00a0First come first serve<\/li>\n<li>\u00a0Last in, first out<\/li>\n<li>\u00a0Service in random order<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Number-of-Servers-and-Service-Channels\"><\/span>Number of Servers and Service Channels<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>\u00a0Single channel, single server<\/li>\n<li>\u00a0Single channel, multiple server<\/li>\n<li>\u00a0Multiple channel, single server<\/li>\n<li>\u00a0Multiple channel, multiple server<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Service-Pattern\"><\/span>Service Pattern<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">There is no standard probability distribution for service process. Infact, in many cases actual data is used for describing the service time. However, if the service times are exponentially distributed, then the model becomes simple.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Calling-population\"><\/span>Calling population<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">The entire sample of customers from which a few visit the service facility is known as the calling population.<\/p>\n<p style=\"text-align: justify;\"><strong>Remember<\/strong><\/p>\n<p style=\"text-align: justify;\">The size of calling population can be finite or infinite.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Customer-Behavior\"><\/span><strong>Customer Behavior<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"text-align: justify;\"><strong>Balking:<\/strong> If queue is very long, customer decides not to enter the queue.<\/li>\n<li style=\"text-align: justify;\"><strong>Reneging:<\/strong> Customer leave the queue without queue without getting the service.<\/li>\n<li style=\"text-align: justify;\"><strong>Jockeying:<\/strong> When customer switches the queue, called jockeying.<\/li>\n<li style=\"text-align: justify;\"><strong>Collision:<\/strong> In this case several customers may collaborate and only one of them may stand in the queue.<\/li>\n<\/ul>\n<p style=\"text-align: center;\">Here, the queue length may be small, but service time for an individual may be more.<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/economic-order-quantity-eoq\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/industrial-engineering\/graph-of-optimization-of-cost\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-industrial-engineering\/\" target=\"_blank\" rel=\"noopener\"><strong>What is Industrial Engineering?<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Queueing theory is used in service oriented organization, machine repair shop, in case of semifinished products waiting for finishing operation.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1505,10],"tags":[1509,1510,1511],"class_list":["post-4798","post","type-post","status-publish","format-standard","hentry","category-industrial-engineering","category-me","tag-calling-population","tag-characteristic-of-queueing-model","tag-service-discipline"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4798","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=4798"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4798\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=4798"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=4798"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=4798"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}