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Technical Note—A Note on Waiting Times in Single Server Queues

Author

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  • Richard R. Weber

    (University of Cambridge, Cambridge, England)

Abstract

We show that in any single server queue having a FCFS discipline, the queueing and waiting times of every customer are nonincreasing convex functions of the service rate. An example shows that this need not be the case if the queue has more than one server.

Suggested Citation

  • Richard R. Weber, 1983. "Technical Note—A Note on Waiting Times in Single Server Queues," Operations Research, INFORMS, vol. 31(5), pages 950-951, October.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:5:p:950-951
    DOI: 10.1287/opre.31.5.950
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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.
    2. Benjamin Legros, 2022. "The principal-agent problem for service rate event-dependency," Post-Print hal-03605421, HAL.
    3. van Eekelen, Wouter, 2023. "Distributionally robust views on queues and related stochastic models," Other publications TiSEM 9b99fc05-9d68-48eb-ae8c-9, Tilburg University, School of Economics and Management.
    4. Kristin Fridgeirsdottir & Sam Chiu, 2005. "A Note on Convexity of the Expected Delay Cost in Single-Server Queues," Operations Research, INFORMS, vol. 53(3), pages 568-570, June.

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