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Technical Note—A Convexity Result for a Class of GI / G /1 Queueing Systems

Author

Listed:
  • Hung-Yuan Tu

    (Boeing Military Airplane Company, Wichita, Kansas)

  • Hillel Kumin

    (University of Oklahoma, Norman, Oklahoma)

Abstract

This note gives a sufficient condition under which the expected number of customers in a GI / G /1/FCFS queueing system will be a convex function of the service rate. Although the result is intuitively appealing and is usually accepted without proof as a “folk theorem” of queueing theory, there are systems for which it does not hold.

Suggested Citation

  • Hung-Yuan Tu & Hillel Kumin, 1983. "Technical Note—A Convexity Result for a Class of GI / G /1 Queueing Systems," Operations Research, INFORMS, vol. 31(5), pages 948-950, October.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:5:p:948-950
    DOI: 10.1287/opre.31.5.948
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    Cited by:

    1. Legros, Benjamin, 2022. "The principal-agent problem for service rate event-dependency," European Journal of Operational Research, Elsevier, vol. 297(3), pages 949-963.

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