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State Probabilities of M / M /1 Priority Queues

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  • Barry I. Marks

    (IIT Research Institute, Chicago, Illinois)

Abstract

This paper considers a preemptive priority and a nonpreemptive priority queuing model in the steady state. Each model assumes two priority levels, a single-service channel, no queue-length limit, and negative exponential interarrival-time and service-time distributions. The paper develops a set of computationally efficient recursion formulas that allow exact calculation of the state probabilities. In the nonpreemptive-priority case, this is the first time that a complete solution for the equilibrium-state probabilities has been obtained.

Suggested Citation

  • Barry I. Marks, 1973. "State Probabilities of M / M /1 Priority Queues," Operations Research, INFORMS, vol. 21(4), pages 974-987, August.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:4:p:974-987
    DOI: 10.1287/opre.21.4.974
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