Asymptotic results and a Markovian approximation for the M(n)/M(n)/s + GI system

Asymptotic results and a Markovian approximation for the M(n)/M(n)/s + GI system

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Article ID: iaor20041310
Country: Netherlands
Volume: 41
Issue: 1-2
Start Page Number: 73
End Page Number: 94
Publication Date: Jun 2002
Journal: Queueing Systems
Authors: ,
Keywords: markov processes
Abstract:

In this paper for the M(n)/M(n)/s + GI system, i.e. for an s-server queueing system where the calls in the queue may leave the system due to impatience, we present new asymptotic results for the intensities of calls leaving the system due to impatience and a Markovian system approximation where these results are applied. Furthermore, we present a new proof for the formulae of the conditional density of the virtual waiting time distributions, recently given by Movaghar for the less general M(n)/M/s + GI system. Also we obtain new explicit expressions for refined virtual waiting time characteristics as a byproduct.

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