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The Remaining Busy Period of a Finite Queue

Author

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  • Terrell J. Harris

    (Caywood-Schiller, Associates, Chicago, Illinois)

Abstract

In the M / G /1/ N queuing system where no more than N i = 0, 1, …, N as the time spent in transition from state i to state 0, i.e., until the server becomes idle for the first time. The purpose of this paper is to derive the Laplace-Stieltjes transform of the distribution of this time and the generating function of the number of customers served in this time.

Suggested Citation

  • Terrell J. Harris, 1971. "The Remaining Busy Period of a Finite Queue," Operations Research, INFORMS, vol. 19(1), pages 219-223, February.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:1:p:219-223
    DOI: 10.1287/opre.19.1.219
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    Cited by:

    1. Fátima Ferreira & António Pacheco & Helena Ribeiro, 2017. "Moments of losses during busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems," Annals of Operations Research, Springer, vol. 252(1), pages 191-211, May.
    2. António Pacheco & Helena Ribeiro, 2008. "Consecutive customer losses in oscillating GI X /M//n systems with state dependent services rates," Annals of Operations Research, Springer, vol. 162(1), pages 143-158, September.

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