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Some problems in queueing with dynamic priorities

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  • James R. Jackson

Abstract

This paper presents some mathematical and numerical results concerning certain one‐machine discrete‐time queueing models, subject to various queue disciplines. Interest is focused upon systems in which service order is governed by “dynamic priorities,” under which a customer's relative priority is in effect upgraded with the passage of waiting time, so that the proportion of newcomers who can “step in front of him” becomes smaller and smaller as he waits.

Suggested Citation

  • James R. Jackson, 1960. "Some problems in queueing with dynamic priorities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(3), pages 235-249, September.
    • Handle: RePEc:wly:navlog:v:7:y:1960:i:3:p:235-249
    DOI: 10.1002/nav.3800070304
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    Cited by:

    1. Yichuan Ding & Eric Park & Mahesh Nagarajan & Eric Grafstein, 2019. "Patient Prioritization in Emergency Department Triage Systems: An Empirical Study of the Canadian Triage and Acuity Scale (CTAS)," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 723-741, October.
    2. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.
    3. Phadhana Tosirisuk & Jeya Chandra, 1990. "Multiple finite source queueing model with dynamic priority scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 365-381, June.
    4. Val Andrei Fajardo & Steve Drekic, 2017. "Waiting Time Distributions in the Preemptive Accumulating Priority Queue," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 255-284, March.

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