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A Comparison Between Tandem Queues with Dependent and Independent Service Times

Author

Listed:
  • Michael Pinedo

    (Georgia Institute of Technology, Atlanta, Georgia)

  • Ronald W. Wolff

    (University of California, Berkeley, California)

Abstract

This paper considers tandem queues in which a given customer has equal service times at each station. The case M / M /1 → M /1 is considered in detail and the expected waiting time in the case where any given customer has independent service times at the two stations is compared with the expected waiting time in the case where any given customer has equal service times at the two stations. This comparison is based on theoretical results as well as on simulation. Tandem queues with blocking (zero queue capacity between the stations) are also considered and the waiting time and system capacity in the case where any given customer has independent service times are compared with the waiting time and system capacity in the case where any given customer has equal service times.

Suggested Citation

  • Michael Pinedo & Ronald W. Wolff, 1982. "A Comparison Between Tandem Queues with Dependent and Independent Service Times," Operations Research, INFORMS, vol. 30(3), pages 464-479, June.
  • Handle: RePEc:inm:oropre:v:30:y:1982:i:3:p:464-479
    DOI: 10.1287/opre.30.3.464
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    Citations

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    Cited by:

    1. Kleijnen, J.P.C., 1997. "Experimental Design for Sensitivity Analysis, Optimization and Validation of Simulation Models," Discussion Paper 1997-52, Tilburg University, Center for Economic Research.
    2. Wu, Kan & Zhao, Ning, 2015. "Dependence among single stations in series and its applications in productivity improvement," European Journal of Operational Research, Elsevier, vol. 247(1), pages 245-258.
    3. Sharon Guy Browning, 1998. "Tandem Queues with Blocking: A Comparison Between Dependent and Independent Service," Operations Research, INFORMS, vol. 46(3), pages 424-429, June.

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