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The selection allocation problem

Author

Listed:
  • Renato de Matta
  • Vernon Ning Hsu
  • Timothy J. Lowe

Abstract

The Selection Allocation Problem (SAP) is a single period decision problem which involves selecting profit‐maximizing (or cost‐minimizing) activities from various distinct groups, and determining the volume of those activities. The activities in each group are selected subject to the availability of that group's resource, which is provided by either pooling or blending raw inputs from several potential sources. Imbedded in the decision process is the additional task of determining how much raw input is to be allocated to each group to form the resource for that group. Instances of this problem can be found in many different areas, such as in tool selection for flexible manufacturing systems, facility location, and funding for social services. Our goal in this paper is to identify and exploit special structures in the (SAP) and use those structures to develop an efficient solution procedure. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 707–725, 1999

Suggested Citation

  • Renato de Matta & Vernon Ning Hsu & Timothy J. Lowe, 1999. "The selection allocation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 707-725, September.
  • Handle: RePEc:wly:navres:v:46:y:1999:i:6:p:707-725
    DOI: 10.1002/(SICI)1520-6750(199909)46:63.0.CO;2-V
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    References listed on IDEAS

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    1. Hanan Luss & Shiv K. Gupta, 1975. "Technical Note—Allocation of Effort Resources among Competing Activities," Operations Research, INFORMS, vol. 23(2), pages 360-366, April.
    2. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    3. Kouvelis, Panagiotis, 1991. "An optimal tool selection procedure for the initial design phase of a flexible manufacturing system," European Journal of Operational Research, Elsevier, vol. 55(2), pages 201-210, November.
    4. Satoru Fujishige & Naoki Katoh & Tetsuo Ichimori, 1988. "The Fair Resource Allocation Problem with Submodular Constraints," Mathematics of Operations Research, INFORMS, vol. 13(1), pages 164-173, February.
    5. Kurt M. Bretthauer & Bala Shetty, 1995. "The Nonlinear Resource Allocation Problem," Operations Research, INFORMS, vol. 43(4), pages 670-683, August.
    6. Harvey J. Greenberg & William P. Pierskalla, 1970. "Surrogate Mathematical Programming," Operations Research, INFORMS, vol. 18(5), pages 924-939, October.
    7. Steven T. Hackman & Loren K. Platzman, 1990. "Near-Optimal Solution of Generalized Resource Allocation Problems with Large Capacities," Operations Research, INFORMS, vol. 38(5), pages 902-910, October.
    8. Rachelle S. Klein & Hanan Luss, 1991. "Minimax Resource Allocation with Tree Structured Substitutable Resources," Operations Research, INFORMS, vol. 39(2), pages 285-295, April.
    9. Awi Federgruen & Henri Groenevelt, 1986. "The Greedy Procedure for Resource Allocation Problems: Necessary and Sufficient Conditions for Optimality," Operations Research, INFORMS, vol. 34(6), pages 909-918, December.
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