On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times

We study a phenomenon causing server time loss in ticket queues with balking and calling time. A customer who balks from the queue after printing a ticket leaves a virtual entity in the queue that requires server time to be cleared. The longer the queue, the larger the proportion of customers abando...

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Autores principales:	Gabi Hanukov, Michael Hassoun, Oren Musicant
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	queueing theory ticket queue value of information Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fb107bc464f141cc82fb9180235fbce6
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spelling	oai:doaj.org-article:fb107bc464f141cc82fb9180235fbce62021-11-11T18:17:59ZOn the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times10.3390/math92127532227-7390https://doaj.org/article/fb107bc464f141cc82fb9180235fbce62021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2753https://doaj.org/toc/2227-7390We study a phenomenon causing server time loss in ticket queues with balking and calling time. A customer who balks from the queue after printing a ticket leaves a virtual entity in the queue that requires server time to be cleared. The longer the queue, the larger the proportion of customers abandoning their place, and the larger the server time loss due to calling customers that left the queue. The solution is suggested by giving the customer the best possible estimate of her expected waiting time before printing a ticket, thus ensuring that, if she balks, no number in the queue is created that will waste server time. Although partially observable ticket queues have been studied in the literature, the addition of a calling time for absent customers creates a new type of problem that has been observed in real life but has not been formally addressed yet. We analyze this stochastic system, formulate its steady state probabilities, and calculate the system’s performance measures. The analytical solution provided here is robust and can be applied to a wide range of customers’ behavior functions. Finally, numerical analysis is performed that demonstrates the benefits of providing timely information to customers for different levels of traffic congestion.Gabi HanukovMichael HassounOren MusicantMDPI AGarticlequeueing theoryticket queuevalue of informationMathematicsQA1-939ENMathematics, Vol 9, Iss 2753, p 2753 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	queueing theory ticket queue value of information Mathematics QA1-939
spellingShingle	queueing theory ticket queue value of information Mathematics QA1-939 Gabi Hanukov Michael Hassoun Oren Musicant On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
description	We study a phenomenon causing server time loss in ticket queues with balking and calling time. A customer who balks from the queue after printing a ticket leaves a virtual entity in the queue that requires server time to be cleared. The longer the queue, the larger the proportion of customers abandoning their place, and the larger the server time loss due to calling customers that left the queue. The solution is suggested by giving the customer the best possible estimate of her expected waiting time before printing a ticket, thus ensuring that, if she balks, no number in the queue is created that will waste server time. Although partially observable ticket queues have been studied in the literature, the addition of a calling time for absent customers creates a new type of problem that has been observed in real life but has not been formally addressed yet. We analyze this stochastic system, formulate its steady state probabilities, and calculate the system’s performance measures. The analytical solution provided here is robust and can be applied to a wide range of customers’ behavior functions. Finally, numerical analysis is performed that demonstrates the benefits of providing timely information to customers for different levels of traffic congestion.
format	article
author	Gabi Hanukov Michael Hassoun Oren Musicant
author_facet	Gabi Hanukov Michael Hassoun Oren Musicant
author_sort	Gabi Hanukov
title	On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
title_short	On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
title_full	On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
title_fullStr	On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
title_full_unstemmed	On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times
title_sort	on the benefits of providing timely information in ticket queues with balking and calling times
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/fb107bc464f141cc82fb9180235fbce6
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On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times

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