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Monotonicity of the Throughput of a Closed Queueing Network in the Number of Jobs

Author

Listed:
  • Ivo Adan

    (University of Technology, Eindhoven, The Netherlands)

  • Jan Van der Wal

    (University of Technology, Eindhoven, The Netherlands)

Abstract

Using a sample path argument, it is shown that the throughput of a closed queueing network with general service times is nondecreasing in the number of jobs.

Suggested Citation

  • Ivo Adan & Jan Van der Wal, 1989. "Monotonicity of the Throughput of a Closed Queueing Network in the Number of Jobs," Operations Research, INFORMS, vol. 37(6), pages 953-957, December.
    • Handle: RePEc:inm:oropre:v:37:y:1989:i:6:p:953-957
    DOI: 10.1287/opre.37.6.953
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    Citations

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    Cited by:

    1. van Dijk, Nico M., 1997. "An approximate solution and error bound for a discrete time queue with simultaneous servicing," European Journal of Operational Research, Elsevier, vol. 96(2), pages 289-298, January.
    2. van Dijk, Nico M., 2008. "Error bounds for state space truncation of finite Jackson networks," European Journal of Operational Research, Elsevier, vol. 186(1), pages 164-181, April.
    3. Mark L. Spearman & Wallace J. Hopp, 2021. "The Case for a Unified Science of Operations," Production and Operations Management, Production and Operations Management Society, vol. 30(3), pages 802-814, March.
    4. Sonja Otten & Ruslan Krenzler & Lin Xie & Hans Daduna & Karsten Kruse, 2022. "Analysis of semi-open queueing networks using lost customers approximation with an application to robotic mobile fulfilment systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 603-648, June.

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