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Bounds on the Optimal Operating Policy for a Class of Single-Server Queues

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  • Daniel P. Heyman

    (Bell Telephone Laboratories, Holmdel, New Jersey)

  • Kneale T. Marshall

    (Bell Telephone Laboratories, Holmdel, New Jersey)

Abstract

We consider the economic behavior of a single-channel queuing system operating with the following cost structure: a server start-up cost, a server shut-down cost, a cost per unit time when the server is turned off, a cost per unit time when the server is turned on, and a holding cost per unit time spent in the system for each customer. For the undiscounted, infinite-horizon problem, bounds are obtained for the cost rate and optimal policy when the interarrival time distribution is a member of the class of increasing-failure-rate distributions. Some of the bounds hold for all interarrival-time distributions.

Suggested Citation

  • Daniel P. Heyman & Kneale T. Marshall, 1968. "Bounds on the Optimal Operating Policy for a Class of Single-Server Queues," Operations Research, INFORMS, vol. 16(6), pages 1138-1146, December.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:6:p:1138-1146
    DOI: 10.1287/opre.16.6.1138
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    Cited by:

    1. Cree S. Dawson & Charles J. McCallum & R. Bradford Murphy & Eric Wolman, 2000. "Operations Research at Bell Laboratories through the 1970s: Part II," Operations Research, INFORMS, vol. 48(3), pages 351-361, June.

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