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A delay dependent queue discipline

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  • L. Kleinrock

Abstract

Queue disciplines studied in the past have not given the system designer sufficient freedom with which to alter the relative waiting times of the various priority groups. In this paper, results are derived for a delay dependent priority system in which a unit's priority is increased, from zero, linearly with time in proportion to a rate assigned to the unit's priority group. The utility of this new priority structure is that it provides a number of degrees of freedom with which to manipulate the relative waiting times for each priority group.

Suggested Citation

  • L. Kleinrock, 1964. "A delay dependent queue discipline," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 11(3‐4), pages 329-341, September.
    • Handle: RePEc:wly:navlog:v:11:y:1964:i:3-4:p:329-341
    DOI: 10.1002/nav.3800110306
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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. Veeraruna Kavitha & Jayakrishnan Nair & Raman Kumar Sinha, 2019. "Pseudo conservation for partially fluid, partially lossy queueing systems," Annals of Operations Research, Springer, vol. 277(2), pages 255-292, June.
    3. Yonatan Shadmi, 2022. "Fluid limits for shortest job first with aging," Queueing Systems: Theory and Applications, Springer, vol. 101(1), pages 93-112, June.
    4. Moshe, Shir & Oz, Binyamin, 2023. "Charging more for priority via two-part tariff for accumulating priorities," European Journal of Operational Research, Elsevier, vol. 304(2), pages 652-660.
    5. Binyamin Oz & Seva Shneer & Ilze Ziedins, 2022. "Queueing models for addictive tasks," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 325-327, April.
    6. Na Li & David A. Stanford & Peter Taylor & Ilze Ziedins, 2017. "Nonlinear Accumulating Priority Queues with Equivalent Linear Proxies," Operations Research, INFORMS, vol. 65(6), pages 1712-1721, December.
    7. 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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