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On the discrete‐time queue length distribution under markov‐dependent phases

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  • M. L. Chaudhry

Abstract

The technique of probability generating functions has been applied to solve the steady state behavior of a discrete‐time, single‐channel, queueing problem wherein the arrivals to the queue at consecutive time‐marks are statistically independent, but the service is accomplished in phases which are Markov‐dependent. Special cases of importance have been discussed. In the end, mean number of phases, its special cases, the mean queue lengths, and the variances have been ascertained.

Suggested Citation

  • M. L. Chaudhry, 1972. "On the discrete‐time queue length distribution under markov‐dependent phases," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(2), pages 369-378, June.
    • Handle: RePEc:wly:navlog:v:19:y:1972:i:2:p:369-378
    DOI: 10.1002/nav.3800190211
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