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Simple Approximations for the Batch-Arrival Mx/G/1 Queue

Author

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  • J. C. W. Van Ommeren

    (University Twente, Enschede, The Netherlands)

Abstract

In this paper we consider the M x /G/1 queueing system with batch arrivals. We give simple approximations for the waiting-time probabilities of individual customers. These approximations are checked numerically and they are found to perform very well for a wide variety of batch-size and service-time distributions.

Suggested Citation

  • J. C. W. Van Ommeren, 1990. "Simple Approximations for the Batch-Arrival Mx/G/1 Queue," Operations Research, INFORMS, vol. 38(4), pages 678-685, August.
  • Handle: RePEc:inm:oropre:v:38:y:1990:i:4:p:678-685
    DOI: 10.1287/opre.38.4.678
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