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Diffusion Approximation for an M / G / m Queue

Author

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  • Toshikazu Kimura

    (Tokyo Institute of Technology, Tokyo, Japan)

Abstract

This paper deals with the M / G / m queueing system in the steady-state. Applying the method of diffusion approximation, we provide approximate formulas for the distributions of the number of customers, the waiting time and the busy period. We also discuss the relation between the heavy traffic approximation and these approximations. In order to examine the accuracy of the approximate formulas, they are numerically tested on some examples.

Suggested Citation

  • Toshikazu Kimura, 1983. "Diffusion Approximation for an M / G / m Queue," Operations Research, INFORMS, vol. 31(2), pages 304-321, April.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:304-321
    DOI: 10.1287/opre.31.2.304
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    Cited by:

    1. Anatoly Nazarov & Alexander Moiseev & Svetlana Moiseeva, 2021. "Mathematical Model of Call Center in the Form of Multi-Server Queueing System," Mathematics, MDPI, vol. 9(22), pages 1-13, November.

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