Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging

We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the...

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Autores principales:	Bouchentouf Amina Angelika, Boualem Mohamed, Cherfaoui Mouloud, Medjahri Latifa
Formato:	article
Lenguaje:	EN
Publicado:	University of Belgrade 2021
Materias:	queueing models vacation impatience bernoulli feedback simulation. Management information systems T58.6-58.62
Acceso en línea:	https://doaj.org/article/4caa406defba47a1a2de6a6ea6ea98b7
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spelling	oai:doaj.org-article:4caa406defba47a1a2de6a6ea6ea98b72021-12-01T13:00:33ZVariant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging0354-02431820-743X10.2298/YJOR200418003Bhttps://doaj.org/article/4caa406defba47a1a2de6a6ea6ea98b72021-01-01T00:00:00Zhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100003B.pdfhttps://doaj.org/toc/0354-0243https://doaj.org/toc/1820-743XWe consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system.Bouchentouf Amina AngelikaBoualem MohamedCherfaoui MouloudMedjahri LatifaUniversity of Belgradearticlequeueing modelsvacationimpatiencebernoulli feedbacksimulation.Management information systemsT58.6-58.62ENYugoslav Journal of Operations Research, Vol 31, Iss 4, Pp 557-575 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	queueing models vacation impatience bernoulli feedback simulation. Management information systems T58.6-58.62
spellingShingle	queueing models vacation impatience bernoulli feedback simulation. Management information systems T58.6-58.62 Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
description	We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system.
format	article
author	Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa
author_facet	Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa
author_sort	Bouchentouf Amina Angelika
title	Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
title_short	Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
title_full	Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
title_fullStr	Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
title_full_unstemmed	Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
title_sort	variant vacation queueing system with bernoulli feedback, balking and server's states-dependent reneging
publisher	University of Belgrade
publishDate	2021
url	https://doaj.org/article/4caa406defba47a1a2de6a6ea6ea98b7
work_keys_str_mv	AT bouchentoufaminaangelika variantvacationqueueingsystemwithbernoullifeedbackbalkingandserversstatesdependentreneging AT boualemmohamed variantvacationqueueingsystemwithbernoullifeedbackbalkingandserversstatesdependentreneging AT cherfaouimouloud variantvacationqueueingsystemwithbernoullifeedbackbalkingandserversstatesdependentreneging AT medjahrilatifa variantvacationqueueingsystemwithbernoullifeedbackbalkingandserversstatesdependentreneging
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Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging

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