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ISSN 2063-5346
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An M / G / 1 Retrial Queue with Non-Persistent customers, Recurrent Customers, General Retrial Times with Working Vacation

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S. Pazhani Bala Murugan,A. Jeba Pauline Veronica
» doi: 10.48047/ecb/2023.12.si13.146

Abstract

An ????/????/1 retrial queue with non-persistent customers, recurrent customers, general retrial times with working vacation is get into the contemplation of this work. We consider two types of customers; recurrent and transit customers. If the arriving customer or primary customer finds that server is busy, he will either leaves the system completely without taking service or he will go to the orbit. All service times and retrial times for transit customers follow general distribution, retrial time for recurrent customers and working vacation time are assumed to have an exponential distribution, also service time of the recurrent customers follows and general distribution. The PGF and the mean of number of customers in an imperceptible waiting area are get by the effective action of supplementary variable technique. As a matter of interest, some special cases are furnished.

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