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Note---On the Marginal Benefit of Adding Servers to G/GI/m Queues

Author

Listed:
  • Richard R. Weber

    (Cambridge University, England)

Abstract

The mean queueing time in a G/GI/m queue is shown to be a nonincreasing and convex function of the number of servers, m. This means that the marginal decrease in mean queueing time brought about by the addition of two extra servers is always less than twice the decrease brought about by the addition of one extra server. As a consequence, a method of marginal analysis is optimal for allocating a number of servers amongst several service facilities so as to minimize the sum of die mean queueing times at the facilities.

Suggested Citation

  • Richard R. Weber, 1980. "Note---On the Marginal Benefit of Adding Servers to G/GI/m Queues," Management Science, INFORMS, vol. 26(9), pages 946-951, September.
    • Handle: RePEc:inm:ormnsc:v:26:y:1980:i:9:p:946-951
    DOI: 10.1287/mnsc.26.9.946
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    Cited by:

    1. Alex Kuiper & Robert H. Lee, 2022. "Appointment Scheduling for Multiple Servers," Management Science, INFORMS, vol. 68(10), pages 7422-7440, October.
    2. 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.

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