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Structure of Optimal Policies in Complex Queuing Systems

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  • S. Christian Albright

    (Indiana University, Bloomington, Indiana)

Abstract

This paper examines a class of M / G / S queuing reward systems with heterogeneous servers and heterogeneous customers. With the help of two simple results, we show that the policy that maximizes average reward per unit time over an infinite horizon possesses a certain structured form, which for several examples is quite intuitive and for others is not so intuitive. We also show that when the policy improvement method is used to find the optimal policy, only policies with the structured form need be considered, an obvious computational simplification. Computational results are discussed briefly.

Suggested Citation

  • S. Christian Albright, 1977. "Structure of Optimal Policies in Complex Queuing Systems," Operations Research, INFORMS, vol. 25(6), pages 1020-1027, December.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:6:p:1020-1027
    DOI: 10.1287/opre.25.6.1020
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    Cited by:

    1. Apurva Jain & Kamran Moinzadeh & Aussadavut Dumrongsiri, 2015. "Priority Allocation in a Rental Model with Decreasing Demand," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 236-248, May.
    2. Felix Papier & Ulrich W. Thonemann, 2010. "Capacity Rationing in Stochastic Rental Systems with Advance Demand Information," Operations Research, INFORMS, vol. 58(2), pages 274-288, April.

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