On an M/G/1 quorum queueing system under T-policy

On an M/G/1 quorum queueing system under T-policy

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Article ID: iaor20041252
Country: United Kingdom
Volume: 54
Issue: 5
Start Page Number: 466
End Page Number: 471
Publication Date: May 2003
Journal: Journal of the Operational Research Society
Authors:
Keywords: markov processes
Abstract:

We study in this paper an M/G/1 quorum queueing system under T-policy. First, we consider the system size stochastic process embedded at departure epoch times and show that it is an ergodic Markov chain. Then, we consider the system size stochastic process at arbitrary instants of time, and show that it is an ergodic semi-regenerative process. We derive the steady-state distribution for both processes. Various system characteristics of related processes (idle and busy periods) are also obtained and special cases are discussed.

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