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A new method to solve steady state queueing equations

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  • W. K. Grassmann
  • M. L. Chaudhry

Abstract

There are a great number of queueing systems, including the MX/MY/c, the GlX/M/c and the discrete Gl/G/1 queue in which the state probabilities are determined by repeated queue equations. This paper gives a simple, efficient and numerically stable algorithm to caiculate the state probabilities and measure of performance for such systems. The method avoids both complex arithmetric and matrix manipulations.

Suggested Citation

  • W. K. Grassmann & M. L. Chaudhry, 1982. "A new method to solve steady state queueing equations," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(3), pages 461-473, September.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:3:p:461-473
    DOI: 10.1002/nav.3800290308
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    Cited by:

    1. Tapas K. Das & Martin A. Wortman, 1992. "Performance of N machine centers of K‐out‐of‐M: G type maintained by a single repairman," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(7), pages 919-936, December.
    2. Warren B. Powell, 1987. "Waiting‐time distributions for bulk arrival, bulk service queues with vehicle‐holding and cancellation strategies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 207-227, April.

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