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An Unreliable Quorum Queueing System with Single and Multiple Vacations

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  • Lotfi Tadj

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

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.

Suggested Citation

  • Lotfi Tadj, 2017. "An Unreliable Quorum Queueing System with Single and Multiple Vacations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-16, December.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:06:n:s0217595917500361
    DOI: 10.1142/S0217595917500361
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    References listed on IDEAS

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    1. Shweta Upadhyaya, 2016. "Queueing systems with vacation: an overview," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(2), pages 167-213.
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