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The Multiple-Choice Nested Knapsack Model

Author

Listed:
  • Ronald D. Armstrong

    (University of Texas at Austin)

  • Prabhakant Sinha

    (Rutgers University)

  • Andris A. Zoltners

    (Northwestern University)

Abstract

A specially-structured integer programming model, called the multiple-choice nested knapsack model, is developed in this paper. The model is characterized by variables which are partitioned into multiple-choice sets and resource constraints which are nested across the multiple-choice sets. The application of the model in the areas of merchandise catalog planning and sales resource allocation is described. An algorithm for the model is presented and the results of the computational testing of the algorithm are provided.

Suggested Citation

  • Ronald D. Armstrong & Prabhakant Sinha & Andris A. Zoltners, 1982. "The Multiple-Choice Nested Knapsack Model," Management Science, INFORMS, vol. 28(1), pages 34-43, January.
    • Handle: RePEc:inm:ormnsc:v:28:y:1982:i:1:p:34-43
    DOI: 10.1287/mnsc.28.1.34
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    Cited by:

    1. Johnston, Robert E. & Khan, Lutfar R., 1995. "Bounds for nested knapsack problems," European Journal of Operational Research, Elsevier, vol. 81(1), pages 154-165, February.
    2. Edward Y H Lin & Chung-Min Wu, 2004. "The multiple-choice multi-period knapsack problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(2), pages 187-197, February.

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