An Unreliable Quorum Queueing System with Single and Multiple Vacations

Lotfi Tadj ()
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Lotfi Tadj: Department of Information Systems and Decision Sciences, Fairleigh Dickinson University, 842 Cambie Street, Vancouver, BC, V6B 2P6, Canada

Asia-Pacific Journal of Operational Research (APJOR), 2017, vol. 34, issue 06, 1-16

Abstract: This paper contributes to the literature of single server queueing models with a vacationing server. We have incorporated many features for a better control over the system. The server implements the N-policy, takes both single and multiple vacations, and is subject to breakdowns. The embedded Markov chain technique is used to obtain the pgf of the system size at a service completion epoch in the steady-state. The semi-regenerative technique is used to obtain the pgf of the system size at an arbitrary instant of time in the steady-state.

Keywords: Bulk queue; short vacation; long vacation; N-policy; embedded Markov chain; semi-regenerative process (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0217595917500361

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