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Technical Note—A Note on the One Against Many Battle

Author

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  • Kensaku Kikuta

    (Toyama University, Toyama, Japan)

Abstract

This paper treats a sequencing problem that appears in the one-against-many engagement, considered originally by Friedman. We define an extremal order to be an order that satisfies Friedman's necessary condition. The number of extremal orders could be greater than one. If this occurs, then it may happen that Friedman's procedure gives a nonoptimal order as we illustrate by a numerical example. We derive a necessary condition that applies to unique extremal orders and a sufficient condition for an order to be optimal.

Suggested Citation

  • Kensaku Kikuta, 1983. "Technical Note—A Note on the One Against Many Battle," Operations Research, INFORMS, vol. 31(5), pages 952-956, October.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:5:p:952-956
    DOI: 10.1287/opre.31.5.952
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    Cited by:

    1. Kyle Y. Lin, 2014. "New results on a stochastic duel game with each force consisting of heterogeneous units," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(1), pages 56-65, February.

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