The queue length in an M/G/1 batch arrival retrial queue

The queue length in an M/G/1 batch arrival retrial queue

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Article ID: iaor2012283
Volume: 70
Issue: 2
Start Page Number: 187
End Page Number: 205
Publication Date: Feb 2012
Journal: Queueing Systems
Authors:
Keywords: batch queues, M/G/1 queues
Abstract:

An M/G/1 retrial queue with batch arrivals is studied. The queue length K μ is decomposed into the sum of two independent random variables. One corresponds to the queue length K of a standard M/G/1 batch arrival queue, and another is compound‐Poisson distributed. In the case of the distribution of the batch size being light‐tailed, the tail asymptotics of K μ are investigated through the relation between K and its service times.

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