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A Note on Professor Manne's "Dominance" Theorem

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  • R. E. Levitan

    (Research Center International Business Machines Corporation Yorktowm, New York)

Abstract

Professor Manne's paper recently appearing in this Journal (Manne, A. S. 1958. Programming of economic lot sizes. Management Sci. 4 (2, January).) is an ingenious application of linear programming technique to what may have hitherto been regarded as an intractable non linear situation. The excellences of the paper are, however, marred by a gap in the proof of the "Dominance" theorem. It is the aim of this communication to point out that, although the constructive proof offered by Manne is vulnerable to counter-example, an alternative, fairly simple, proof can be given. The theorem being true, the important results of the paper are not weakend.

Suggested Citation

  • R. E. Levitan, 1959. "A Note on Professor Manne's "Dominance" Theorem," Management Science, INFORMS, vol. 5(3), pages 332-334, April.
    • Handle: RePEc:inm:ormnsc:v:5:y:1959:i:3:p:332-334
    DOI: 10.1287/mnsc.5.3.332
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    Cited by:

    1. Jouglet, Antoine & Carlier, Jacques, 2011. "Dominance rules in combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 212(3), pages 433-444, August.

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