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Preemptive Priority Queues

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  • Wei Chang

    (IBM Corporation, Kingston, New York)

Abstract

Customers of different priorities arrive at a counter in accordance with a Poisson process. The customers are served by a single server in order of priority and for each priority in order of arrival. Preemptive discipline is assumed. Three service policies are considered: (i) preemptive-resume, (ii) preemptive-repeat-identical, and (iii) preemptive-repeat-different. The time-dependent solutions for these priority systems are very complicated. However, the problem can be simplified in case of stationary solutions. In this paper, a step-by-step method is proposed to find the stationary distributions of the queue sizes, the waiting times, and the busy periods of each priority class.

Suggested Citation

  • Wei Chang, 1965. "Preemptive Priority Queues," Operations Research, INFORMS, vol. 13(5), pages 820-827, October.
    • Handle: RePEc:inm:oropre:v:13:y:1965:i:5:p:820-827
    DOI: 10.1287/opre.13.5.820
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    Cited by:

    1. Jayaswal, Sachin & Jewkes, Elizabeth & Ray, Saibal, 2011. "Product differentiation and operations strategy in a capacitated environment," European Journal of Operational Research, Elsevier, vol. 210(3), pages 716-728, May.
    2. Jayaswal, Sachin & Vidyarthi, Navneet, 2013. "Capacitated Multiple Allocation Hub Location with Service Level Constraints for Multiple Consignment Classes," IIMA Working Papers WP2013-11-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    3. Raina Raj & Vidyottama Jain, 2024. "Resource optimization for MMAP[c]/PH[c]/S catastrophic queueing model with PH retrial times," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1192-1223, September.
    4. Steve Drekic & David A. Stanford, 2001. "Reducing Delay in Preemptive Repeat Priority Queues," Operations Research, INFORMS, vol. 49(1), pages 145-156, February.

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