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Multiperiod allocation of limited resources: A minimax approach

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  • Hanan Luss
  • Donald R. Smith

Abstract

We consider a multiperiod model in which limited resources are allocated among competing activities in each period. The objective is to minimize the maximum weighted deviation of the cumulative activity levels from the cumulative demands among all activities at all periods. All resources are assumed to be storable; that is, surpluses at one period can be used later on. This model is useful, for example, in multiperiod production planning for high‐technology industries that assemble a large variety of circuit boards using numerous electronic components. The model is formulated with a minimax objective. We develop an efficient algorithm that can solve large‐scale problems very quickly. At each iteration, the algorithm makes use of the solution to a relaxed problem to identify activities that should be permanently set to zero, as well as groups of activities that should have the same value.

Suggested Citation

  • Hanan Luss & Donald R. Smith, 1988. "Multiperiod allocation of limited resources: A minimax approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 493-501, August.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:4:p:493-501
    DOI: 10.1002/1520-6750(198808)35:43.0.CO;2-0
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    References listed on IDEAS

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    1. Czuchra, Waldemar, 1986. "A graphical method to solve a maximin allocation problem," European Journal of Operational Research, Elsevier, vol. 26(2), pages 259-261, August.
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    Cited by:

    1. Hanan Luss, 2008. "An Equitable Bandwidth Allocation Model for Video-on-Demand Networks," Networks and Spatial Economics, Springer, vol. 8(1), pages 23-41, March.
    2. Lisa M. Betts & J. Randall Brown & Hanan Luss, 1994. "Minimax resource allocation problems with ordering constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(6), pages 719-738, October.
    3. Klein, Rachelle S. & Luss, Hanan & Rothblum, Uriel G., 1995. "Multiperiod allocation of substitutable resources," European Journal of Operational Research, Elsevier, vol. 85(3), pages 488-503, September.
    4. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    5. Hanan Luss & Moshe B. Rosenwein, 1995. "Multiperiod resource allocation with a smoothing objective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1007-1020, October.

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