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A Finite Difference Equations Approach to a Priority Queue

Author

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  • Alexandre Brandwajn

    (Amdahl Corporation, Sunnyvale, California)

Abstract

The main goal of this note is to demonstrate the use of a direct approach, as opposed to generating functions, for solving balance equations of a queueing system whose state is described by two independent variables. The basic idea is to consider a function of two variables as a set of functions of one independent variable. Hence the balance equations may be viewed as a set of simultaneous difference equations, and solved using the appropriate techniques. This method may allow the inclusion of queue-dependent service and arrival rates, and an easy treatment of finite queueing rooms. This is illustrated in the example of a two-level preemptive priority queue with exponentially distributed interarrival and service times.

Suggested Citation

  • Alexandre Brandwajn, 1982. "A Finite Difference Equations Approach to a Priority Queue," Operations Research, INFORMS, vol. 30(1), pages 74-81, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:74-81
    DOI: 10.1287/opre.30.1.74
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    Cited by:

    1. Wang, Qinan, 2004. "Modeling and analysis of high risk patient queues," European Journal of Operational Research, Elsevier, vol. 155(2), pages 502-515, June.

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    Keywords

    698 priority queue;

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