{"id":262785,"date":"2024-10-21T17:20:46","date_gmt":"2024-10-21T17:20:46","guid":{"rendered":"https:\/\/michigandigitalnews.com\/index.php\/2024\/10\/21\/how-the-maths-of-queuing-can-make-lines-more-efficient\/"},"modified":"2025-06-25T17:10:47","modified_gmt":"2025-06-25T17:10:47","slug":"how-the-maths-of-queuing-can-make-lines-more-efficient","status":"publish","type":"post","link":"https:\/\/michigandigitalnews.com\/index.php\/2024\/10\/21\/how-the-maths-of-queuing-can-make-lines-more-efficient\/","title":{"rendered":"How the maths of queuing can make lines more efficient"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"\">\n<figure class=\"ArticleImage\">\n<div class=\"Image__Wrapper\"><img fetchpriority=\"high\" decoding=\"async\" class=\"Image\" width=\"1350\" height=\"900\" alt=\"EDINBURGH, SCOTLAND - JUNE 06: Taylor Swift fans queue outside Murrayfield stadium ahead of tomorrow nights concert on June 06, 2024 in Edinburgh, Scotland. Taylor Swift's Eras World Tour plays 15 dates across Scotland, Wales and England this June and August. Her fans, known as Swifties, had made the superstar $200 million in Eras merchandise sales as of November 2023. (Photo by Jeff J Mitchell\/Getty Images)\" src=\"https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg\" sizes=\"(min-width: 1288px) 837px, (min-width: 1024px) calc(57.5vw + 55px), (min-width: 415px) calc(100vw - 40px), calc(70vw + 74px)\" srcset=\"https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=300 300w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=400 400w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=500 500w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=600 600w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=700 700w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=800 800w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=837 837w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=900 900w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1003 1003w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1100 1100w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1200 1200w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1300 1300w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1400 1400w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1500 1500w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1600 1600w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1674 1674w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1700 1700w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1800 1800w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=1900 1900w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/10\/15144308\/SEI_224890236.jpg?width=2006 2006w\" loading=\"eager\" fetchpriority=\"high\" data-image-context=\"Article\" data-image-id=\"2451979\" data-caption=\"Taylor Swift fans queue outside Murrayfield stadium\" data-credit=\"Jeff J Mitchell\/Getty Images\"\/><\/div><figcaption class=\"ArticleImageCaption\">\n<div class=\"ArticleImageCaption__CaptionWrapper\">\n<p class=\"ArticleImageCaption__Title\">Taylor Swift fans queue outside Murrayfield stadium<\/p>\n<p class=\"ArticleImageCaption__Credit\">Jeff J Mitchell\/Getty Images<\/p>\n<\/div>\n<\/figcaption><\/figure>\n<\/p>\n<p>I imagine that you may, at some point in your life, have been in a queue that wasn\u2019t run entirely efficiently. Despite allegedly loving to line up and wait for things, Brits like me have an array of stories about badly run <a href=\"https:\/\/www.newscientist.com\/article\/mg24332391-900-feedback-the-very-british-ethnography-of-queuing\/\">queues.<\/a><\/p>\n<p>Luckily, maths can give us insight into queues and answer questions like how many staff are needed to help them run efficiently. We can gather data on a real queue and use the average arrival rate to calculate the probability of someone joining. This is just\u2026<\/p>\n<\/p><\/div>\n<p>[ad_2]<br \/>\n<br \/><a href=\"https:\/\/www.newscientist.com\/article\/mg26435130-500-how-the-maths-of-queuing-can-make-lines-more-efficient\/?utm_campaign=RSS%7CNSNS&#038;utm_source=NSNS&#038;utm_medium=RSS&#038;utm_content=home\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Taylor Swift fans queue outside Murrayfield stadium Jeff J Mitchell\/Getty Images I imagine that you may, at some point in your life, have been<\/p>\n","protected":false},"author":1,"featured_media":262786,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[177],"tags":[],"_links":{"self":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/262785"}],"collection":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/comments?post=262785"}],"version-history":[{"count":0,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/262785\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/media\/262786"}],"wp:attachment":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/media?parent=262785"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/categories?post=262785"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/tags?post=262785"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}