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Calcutta Statistical Association Bulletin

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Research article

First published online 2006-3

Single Server Queue with Batch Arrivals and α - Poisson Distribution

and

Volume 58, Issue 1-2

https://doi.org/10.1177/0008068320060106

Abstract

We consider a single server non-Markovian queueing system with α - Poisson arrivals and server vacations. When α = 1, it reduces to the usual M^x | G | 1 model with batch arrivals.

Keywords

Batch arrival Infinite mean waiting time Mittag - Leffler function server vacations Waiting server.

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