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The M/G/1 FIFO Queue with Several Customer Classes

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Abstract

In this note we present short derivations of the joint queue length distribution in the M/G/1 queue with several classes of customers and FIFO service discipline.

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References

  1. J.W. Cohen, The Single Server Queue (North–Holland, Amsterdam, 1982).

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  3. T. Takine, Queue length distribution in a FIFO single–server queue with multiple arrival streams having different service time distributions, Queueing Systems 39 (2001) 349–375.

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  4. B. Wallström, On the M / G / 1 queue with several classes of customers having different service time distributions, Report 1–19, Lund Institute of Technology (1980).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science and EURANDOM, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    Onno J. Boxma

  2. CWI, P.O. Box 94079, 1090 GB, Amsterdam, The Netherlands

    Onno J. Boxma

  3. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan

    Tetsuya Takine

Authors
  1. Onno J. Boxma
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  2. Tetsuya Takine
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Boxma, O.J., Takine, T. The M/G/1 FIFO Queue with Several Customer Classes. Queueing Systems 45, 185–189 (2003). https://doi.org/10.1023/A:1027306700614

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  • DOI: https://doi.org/10.1023/A:1027306700614

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