{"id":175888,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/ike-dreskin-manages-a-large-los-angeles-movie-theater-complex-called-cinema-i-ii-iii-and-iv-each-of-the-four-auditoriums-plays-a-different-film-2"},"modified":"2018-10-24T09:09:44","modified_gmt":"2018-10-24T09:09:44","slug":"ike-dreskin-manages-a-large-los-angeles-movie-theater-complex-called-cinema-i-ii-iii-and-iv-each-of-the-four-auditoriums-plays-a-different-film-2","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/ike-dreskin-manages-a-large-los-angeles-movie-theater-complex-called-cinema-i-ii-iii-and-iv-each-of-the-four-auditoriums-plays-a-different-film-2\/","title":{"rendered":"ike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film"},"content":{"rendered":"<p><a class=\"ike-dreskin-manages-large-los-angeles-movie-theater-complex-called-cinema-ii-iii-iv-four-auditoriums-plays-different-film\/\"><\/a> <\/p>\n<p>Mike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule is set so that starting times are staggered to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 movie patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a typically active day are Poisson distributed and average 210 per hour.<\/p>\n<p>To determine the efficiency of the current ticket operation, Mike wishes to examine several queue operating characteristics.<br \/> (a) Find the average number of moviegoers waiting in line to purchase a ticket.<br \/> (b) What percentage of the time is the cashier bus)?<br \/> (c) What is the average time that a customer spends in the system?<br \/> (d) What is the average time spent waiting in line to get to the ticket window?<br \/> (e) What is the probability that there are more than two people in the system? More than three people? More than four?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule is set so that starting times are staggered to avoid the large <a href=\"https:\/\/www.benedictsol.com\/blogs\/ike-dreskin-manages-a-large-los-angeles-movie-theater-complex-called-cinema-i-ii-iii-and-iv-each-of-the-four-auditoriums-plays-a-different-film-2\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-175888","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/175888","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=175888"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/175888\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=175888"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=175888"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=175888"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}