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More on Min-Max Allocation

Author

Listed:
  • Evan L. Porteus

    (Graduate School of Business, Stanford University)

  • Jonathan S. Yormark

    (Jet Propulsion Laboratory, California Institute of Technology)

Abstract

In a preceding paper Jacobsen [Jacobsen, S. 1971. On marginal allocation in single constraint min-max problems. Management Sci. (July).] shows that marginal allocation solves a class of discrete, single constraint, min-max allocation problems. A dual approach, to this problem is presented, based on a generalization of Jacobsen's P condition, which should prove more efficient when many marginal improvement iterations would be required. A variant of sequential search by bisection is applied, possibly augmented by an accelerated marginal allocation scheme, in which finite convergence to an optimum solution is guaranteed.

Suggested Citation

  • Evan L. Porteus & Jonathan S. Yormark, 1972. "More on Min-Max Allocation," Management Science, INFORMS, vol. 18(9), pages 502-507, May.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:9:p:502-507
    DOI: 10.1287/mnsc.18.9.502
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    Cited by:

    1. Richard Francis & Timothy Lowe, 2014. "Comparative error bound theory for three location models: continuous demand versus discrete demand," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 144-169, April.
    2. Yamada, Takeo & Futakawa, Mayumi & Kataoka, Seiji, 1998. "Some exact algorithms for the knapsack sharing problem," European Journal of Operational Research, Elsevier, vol. 106(1), pages 177-183, April.
    3. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.

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