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On completion times in a two-class priority queue with impatience

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  • loane Muni Toke

Abstract

In this note, we consider a two-class priority queueing system with Poisson arrivals, general service time distribution and one server, in which customers that are not currently being served may leave the queue according to exponentially distributed patience times, i.e., a M1, M2/G/1 + M system using a generalised Kendall's notation. We expand the classic methodology to derive analytical formulas for the completion times in such a system, using preemptive repeat different and preemptive repeat identical disciplines. Known average completion times for priority queues without impatience are retrieved as limit cases.

Suggested Citation

  • loane Muni Toke, 2014. "On completion times in a two-class priority queue with impatience," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 6(3), pages 377-392.
    • Handle: RePEc:ids:ijmore:v:6:y:2014:i:3:p:377-392
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    Cited by:

    1. Nesrine Zidani & Natalia Djellab, 2024. "Asymptotic upper bounds for an M/M/C/K retrial queue with a guard channel and guard buffer," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 99(3), pages 365-407, June.

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