A batch arrival retrial queue with general retrial times under Bernoulli vacation schedule for unreliable server and delaying repair

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An Unreliable Server Retrial Queue with Two Phases of Service and General Retrial Times Under Bernoulli Vacation Schedule

Abstract: This paper deals with the steady state behavior of an M/G/1 retrial queue with two successive phases of service and general retrial times under Bernoulli vacation schedule for an unreliable server. While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. The primary customers finding the serv...

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A Batch Arrival Unreliable Server Bernoulli Vacation Queue with Two Phases of Service and Delayed Repair

 This paper deals with batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period. For this model, we first derive the joint distribution of state of the server and queue size, which is one of the chief objectives of this paper. Secondly, we derive the pgf of the stationary queue size distribu...

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ژورنال

عنوان ژورنال: Applied Mathematical Modelling

سال: 2012

ISSN: 0307-904X

DOI: 10.1016/j.apm.2011.05.047