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The single server queue in discrete time‐numerical analysis I

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  • Marcel F. Neuts

Abstract

This is the first of a sequence of papers dealing with the computational aspects of the transient behavior of queues in discrete time It is shown that for a substantial class of queues of practical interest, a wealth of numerical information may be obtained by relatively unsophisticated methods This approach should prove useful in the analysis of unstable queues which operate over a limited time interval, but is by no means limited to such queues Mathematically the service unit is modeled in terms of a multivariate Markov chain, whose particular structure is used in iterative computation. Many important queue features may then be derived from the n‐step transition probabilities of this chain.

Suggested Citation

  • Marcel F. Neuts, 1973. "The single server queue in discrete time‐numerical analysis I," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(2), pages 297-304, June.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:2:p:297-304
    DOI: 10.1002/nav.3800200210
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    Cited by:

    1. M.L. Chaudhry & U.C. Gupta, 2003. "Analysis of a finite‐buffer bulk‐service queue with discrete‐Markovian arrival process: D‐MAP/Ga,b/1/N," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(4), pages 345-363, June.
    2. Pianykh, Oleg S. & Perez, Sebastian & Zhang, Chengzhao “Richard”, 2024. "Discrete scheduling and critical utilization," European Journal of Operational Research, Elsevier, vol. 312(2), pages 445-455.
    3. Hugo P. Simão & Warren B. Powell, 1988. "Waiting time distributions for transient bulk queues with general vehicle dispatching strategies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 285-306, April.

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