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L = λ W : A Discounted Analogue and a New Proof

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  • Shaler Stidham

    (Cornell University, Ithaca, New York)

Abstract

This paper presents a discounted analogue to L = λ W , together with an application to a queuing optimization problem. This discounted analogue is used to construct a new proof of the classical (limiting average) version of L = λ W , using as hypotheses only that the limiting averages of λ and W exist and are finite.

Suggested Citation

  • Shaler Stidham, 1972. "L = λ W : A Discounted Analogue and a New Proof," Operations Research, INFORMS, vol. 20(6), pages 1115-1126, December.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:6:p:1115-1126
    DOI: 10.1287/opre.20.6.1115
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    Cited by:

    1. Bonneuil, Noël, 2021. "Optimal age- and sex-based management of the queue to ventilators during the Covid-19 crisis," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    2. Bi, Huibo & Shang, Wen-Long & Chen, Yanyan & Wang, Kezhi & Yu, Qing & Sui, Yi, 2021. "GIS aided sustainable urban road management with a unifying queueing and neural network model," Applied Energy, Elsevier, vol. 291(C).

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