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

Authors:
Kouji Yamamuro
Affiliations:
Faculty of Engineering, Gifu University, Gifu, Japan 501-1193
Venue:
Queueing Systems: Theory and Applications
Year:
2012

Citing 5
Cited 0

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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 驴 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 驴 and its service times.