Performance of an M/M/1 retrial queue with working vacation interruption and classical retrial policy
type: Item
instance of: scholarly article
title: Performance of an M/M/1 retrial queue with working vacation interruption and classical retrial policy
zbMATH Open document ID: 1387.90067
DOI: 10.1155/2016/4538031
author: Tao Li
author: Shan Gao
author: Liyuan Zhang
published in: Advances in Operations Research
publication date: 2018-05-11T00:00:00Z
review text: Summary: An M/M/1 retrial queue with working vacation interruption is considered. Upon the arrival of a customer, if the server is busy, it would join the orbit of infinite size. The customers in the orbit will try for service one by one when the server is idle under the classical retrial policy with retrial rate \(n \alpha\), where \(n\) is the size of the orbit. During a working vacation period, if there are customers in the system at a service completion instant, the vacation will be interrupted. Under the stable condition, the probability generating functions of the number of customers in the orbit are obtained. Various system performance measures are also developed. Finally, some numerical examples and cost optimization analysis are presented.
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 6867687
Wikidata QID: Q59122790
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4538031
OpenAlex ID: W2429283364
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DBLP publication ID: journals/advor/LiZG16
description: scientific article; zbMATH DE number 6867687