{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T23:43:17Z","timestamp":1725666197794},"reference-count":0,"publisher":"ECMS","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,6,23]]},"abstract":"<jats:p>The MAP\/M\/1\/K type ticket queue is analysed. Arriving users obtain a ticket for service but may balk the system with the probability depending on the queue of tickets ahead of him\/her. Irrespective of joining or balking, the ticket issued for the user remains in the ticket buffer. Also, the waiting user can abandon the system during the waiting time, but his or her ticket remains in the buffer. Users are served in the order of their tickets. The server is unaware about the presence of users in the system and spends some time for his\/her service even the respective user already left the system. Ticket queuing systems describe the wide range of real world system. The stationary distribution of the considered system is computed. Numerical illustrations are presented.<\/jats:p>","DOI":"10.7148\/2023-0026","type":"proceedings-article","created":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T11:46:57Z","timestamp":1692186417000},"page":"26-32","source":"Crossref","is-referenced-by-count":0,"title":["Analysis Of MAP\/M\/1\/K Ticket Queue With Users Balking And Reneging And Service Of No-Show Users"],"prefix":"10.7148","author":[{"given":"Chesoong","family":"Kim","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Dudin","sequence":"additional","affiliation":[]},{"given":"Sergei","family":"Dudin","sequence":"additional","affiliation":[]},{"given":"Olga","family":"Dudina","sequence":"additional","affiliation":[]}],"member":"4144","published-online":{"date-parts":[[2023,6,23]]},"event":{"name":"37th ECMS International Conference on Modelling and Simulation"},"container-title":["ECMS 2023 Proceedings edited by Enrico Vicario, Romeo Bandinelli, Virginia Fani, Michele Mastroianni"],"original-title":[],"deposited":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T11:47:00Z","timestamp":1692186420000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.scs-europe.net\/dlib\/2023\/2023-0026.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,23]]},"references-count":0,"URL":"https:\/\/doi.org\/10.7148\/2023-0026","relation":{},"subject":[],"published":{"date-parts":[[2023,6,23]]}}}