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Approximating nonstationary two‐priority non‐preemptive queueing systems

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  • Michael R. Taaffe
  • Gordon M. Clark

Abstract

An approximation for analyzing transient and nonstationary two‐priority non‐preemptive queueing systems is presented. This system has a three‐dimensional state space, and through use of state‐space partitioning in conjunction with use of conditional surrogate distributions with constant parameters an approximation is designed. Regardless of system capacity K, the approximation requires the numerical solution of only ten differential equations, compared to the K2 + K+1 Kolmogorov‐forward equations required for the classic solution. Time‐dependent approximations of the mean number of entities of type i and of the probability of a type‐i entity being in service are obtained. Empirical test results over a wide range of systems indicate the approximation is quite accurate.

Suggested Citation

  • Michael R. Taaffe & Gordon M. Clark, 1988. "Approximating nonstationary two‐priority non‐preemptive queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 125-145, February.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:125-145
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-N
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    References listed on IDEAS

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    1. Bernard O. Koopman, 1972. "Air-Terminal Queues under Time-Dependent Conditions," Operations Research, INFORMS, vol. 20(6), pages 1089-1114, December.
    2. Michael H. Rothkopf & Shmuel S. Oren, 1979. "A Closure Approximation for the Nonstationary M/M/s Queue," Management Science, INFORMS, vol. 25(6), pages 522-534, June.
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