Product form stationary distributions for the M/G/k group-arrival group-departure loss system under a general acceptance policy

Product form stationary distributions for the M/G/k group-arrival group-departure loss system under a general acceptance policy

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Article ID: iaor20001198
Country: Netherlands
Volume: 112
Issue: 1
Start Page Number: 196
End Page Number: 206
Publication Date: Jan 1999
Journal: European Journal of Operational Research
Authors: ,
Keywords: M/G/c queues, bulk arrivals
Abstract:

In this paper we investigate under what circumstances the stationary distribution of the numbers of groups of various sizes in the M/G/k group-arrival group-departure loss system under a quite general acceptance policy, can be obtained in a closed product form. Also an algorithm is provided for computing the stationary distribution of the number of customers in the system.

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