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Transient Behaviour of an M/M/1/N queue

Author

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  • Sharma, O. P.
  • Gupta, U. C.

Abstract

For a simple queue with finite waiting space the difference equations satisfied by the Laplace transforms of the state probabilities at finite time are solved and the state probabilities have been obtained. The method economizes in algebra and the simple closed form of the state probabilities is used to obtain important parameters.

Suggested Citation

  • Sharma, O. P. & Gupta, U. C., 1982. "Transient Behaviour of an M/M/1/N queue," Stochastic Processes and their Applications, Elsevier, vol. 13(3), pages 327-331, September.
    • Handle: RePEc:eee:spapps:v:13:y:1982:i:3:p:327-331
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    Cited by:

    1. Flötteröd, G. & Osorio, C., 2017. "Stochastic network link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 180-209.
    2. Jung Woo Baek & Yun Han Bae, 2019. "Exact Time-Dependent Queue-Length Solution to a Discrete-Time Geo / D /1 Queue," Mathematics, MDPI, vol. 7(8), pages 1-8, August.

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