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Technical Note—Approximations for Overflows from Queues with a Finite Waiting Room

Author

Listed:
  • John H. Rath

    (Bell Laboratories, Holmdel, New Jersey)

  • Diane Sheng

    (Stanford University, Stanford, California)

Abstract

We report in this note a study of the use of the interrupted Poisson process (IPP) as an approximation to the overflow process from a M / M / C / K queue (a queue with a Poisson arrival process, C servers each with exponentially distributed service times, and a maximum of K customers in the system). The IPP has been used successfully by Kuczura to approximate the overflow from a M / M / C / C queue. Numerical comparisons are made for a number of examples and both the maximum absolute errors and percent errors are plotted.

Suggested Citation

  • John H. Rath & Diane Sheng, 1979. "Technical Note—Approximations for Overflows from Queues with a Finite Waiting Room," Operations Research, INFORMS, vol. 27(6), pages 1208-1216, December.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:6:p:1208-1216
    DOI: 10.1287/opre.27.6.1208
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    Cited by:

    1. Martin J. Fischer & Carl M. Harris, 1991. "Heterogeneous multitrunking queueing systems with thresholds," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 579-597, August.
    2. Cree S. Dawson & Charles J. McCallum & R. Bradford Murphy & Eric Wolman, 2000. "Operations Research at Bell Laboratories through the 1970s: Part II," Operations Research, INFORMS, vol. 48(3), pages 351-361, June.

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