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Using Parallel Iteration for Approximate Analysis of a Multiple Server Queueing System

Author

Listed:
  • John R. Birge

    (University of Michigan, Ann Arbor, Michigan)

  • Stephen M. Pollock

    (University of Michigan, Ann Arbor, Michigan)

Abstract

This paper describes an iterative approach to the analysis of Markovian service systems. The method is approximate unless an assumption of independence among servers is valid. Nevertheless, useful results are attainable that hold intuitive appeal and provide a geometric reduction in the number of states (hence, computation) needed to obtain solutions. We demonstrate the usefulness of the procedure through an error analysis of a simple system. The practical utility of the approach is further justified in a comparison with simulation results for a police patrol model with over 50 million states.

Suggested Citation

  • John R. Birge & Stephen M. Pollock, 1989. "Using Parallel Iteration for Approximate Analysis of a Multiple Server Queueing System," Operations Research, INFORMS, vol. 37(5), pages 769-779, October.
    • Handle: RePEc:inm:oropre:v:37:y:1989:i:5:p:769-779
    DOI: 10.1287/opre.37.5.769
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    Cited by:

    1. Akbar Karimi & Michel Gendreau & Vedat Verter, 2018. "Performance Approximation of Emergency Service Systems with Priorities and Partial Backups," Transportation Science, INFORMS, vol. 52(5), pages 1235-1252, October.

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