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

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  • L Tadj

    (King Saud University)

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.

Suggested Citation

  • L Tadj, 2003. "On an M/G/1 quorum queueing system under T-policy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 466-471, May.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:5:d:10.1057_palgrave.jors.2601536
    DOI: 10.1057/palgrave.jors.2601536
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    References listed on IDEAS

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    1. S. W. Fuhrmann & Robert B. Cooper, 1985. "Stochastic Decompositions in the M / G /1 Queue with Generalized Vacations," Operations Research, INFORMS, vol. 33(5), pages 1117-1129, October.
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    Cited by:

    1. Miaomiao Yu & Attahiru Sule Alfa, 2016. "Some analysis results associated with the optimization problem for a discrete-time finite-buffer NT-policy queue," Operational Research, Springer, vol. 16(2), pages 161-179, July.

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