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Priority Queues with Random Order of Service

Author

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  • L. Durr

    (Northern Electric Company Ltd., Brampton, Ontario, Canada)

Abstract

Calls of two priorities arrive at a single server in accordance with a Poisson process. The calls are served in order of priority and for each priority in a random manner. This paper considers cases of preemptive-resume and nonpreemptive priorities, and derives the moments of the stationary distribution of the waiting time for each priority class. The variance of the waiting time, when the order of service is random, is shown to be greater than the corresponding variance when the order of service is first-in, first-out, and smaller than the corresponding variance when the order of service is last-in, first-out.

Suggested Citation

  • L. Durr, 1971. "Priority Queues with Random Order of Service," Operations Research, INFORMS, vol. 19(2), pages 453-460, April.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:2:p:453-460
    DOI: 10.1287/opre.19.2.453
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    Cited by:

    1. Souvik Ghosh & A. D. Banik, 2018. "Computing conditional sojourn time of a randomly chosen tagged customer in a $$\textit{BMAP/MSP/}1$$ BMAP / MSP / 1 queue under random order service discipline," Annals of Operations Research, Springer, vol. 261(1), pages 185-206, February.

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