performance of an m/m/1 retrial queue with working vacation interruption and classical retrial policy

performance of an m/m/1 retrial queue with working vacation interruption and classical retrial policy

;Tao Li;Liyuan Zhang;Shan Gao
International journal of dentistry 2016 Vol. 2016 pp. -
177
li2016advancesperformance

Abstract

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 nα, 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.

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ID: 225133
Ref Key: li2016advancesperformance
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225133
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10.1155/2016/4538031
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