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A Note on Optimal Service Selection in a Single Server Queue

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  • R. Schassberger

    (University of Calgary)

Abstract

In an M/G/1 environment with finite waiting room, the server, for each new customer to be served, may choose any of k different service modes. Under a certain cost structure and certain assumptions about the different "speeds" of service it is shown that the search for an optimal policy can be restricted to a relatively small class of possible policies. Using this information simple and feasible algorithms may be designed to explicitly obtain an optimal policy.

Suggested Citation

  • R. Schassberger, 1975. "A Note on Optimal Service Selection in a Single Server Queue," Management Science, INFORMS, vol. 21(11), pages 1326-1331, July.
    • Handle: RePEc:inm:ormnsc:v:21:y:1975:i:11:p:1326-1331
    DOI: 10.1287/mnsc.21.11.1326
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    Cited by:

    1. Johansen, Soren Glud & Larsen, Christian, 2001. "Computation of a near-optimal service policy for a single-server queue with homogeneous jobs," European Journal of Operational Research, Elsevier, vol. 134(3), pages 648-663, November.
    2. S. D. Deshmukh & Suresh Jain, 1975. "Optimal Control of Service Quality in a Queueing System," Discussion Papers 176, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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