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A Simple Allocation Problem

Author

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  • Cyrus Derman

    (Columbia University)

Abstract

The problem studied is that of how to allocate a fixed amount of some resource among various activities where, after a period of time, unused portions of the resource lose their value. Demand for the resource at each station is considered to be random. The problem is a special case of one usually referred to as the distribution of the effort. The question of determining the optimal amount of resource is also discussed.

Suggested Citation

  • Cyrus Derman, 1959. "A Simple Allocation Problem," Management Science, INFORMS, vol. 5(4), pages 453-459, July.
    • Handle: RePEc:inm:ormnsc:v:5:y:1959:i:4:p:453-459
    DOI: 10.1287/mnsc.5.4.453
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    Cited by:

    1. Michael Katehakis & Ingram Olkin & Sheldon Ross & Jian Yang, 2013. "On the life and work of Cyrus Derman," Annals of Operations Research, Springer, vol. 208(1), pages 5-26, September.
    2. Harwin De Vries & Lisa E. Swinkels & Luk N. Van Wassenhove, 2021. "Site Visit Frequency Policies for Mobile Family Planning Services," Production and Operations Management, Production and Operations Management Society, vol. 30(12), pages 4522-4540, December.
    3. Jamie Fravel & Robert Hildebrand & Laurel Travis, 2024. "Continuous Equality Knapsack with Probit-Style Objectives," Journal of Optimization Theory and Applications, Springer, vol. 202(3), pages 1060-1076, September.

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