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Constrained minimax optimization of continuous search efforts for the detection of a stationary target

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  • Frédéric Dambreville
  • Jean‐Pierre Le Cadre

Abstract

Analytical resolution of search theory problems, as formalized by B.O. Koopman, may be applied with some model extension to various resource management issues. However, a fundamental prerequisite is the knowledge of the prior target density. Though this assumption has the definite advantage of simplicity, its drawback is clearly that target reactivity is not taken into account. As a preliminary step towards reactive target study stands the problem of resource planning under a min–max game context. This paper is related to Nakai's work about the game planning of resources for the detection of a stationary target. However, this initial problem is extended by adding new and more general constraints, allowing a more realistic modeling of the target and searcher behaviors. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Frédéric Dambreville & Jean‐Pierre Le Cadre, 2007. "Constrained minimax optimization of continuous search efforts for the detection of a stationary target," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 589-601, September.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:6:p:589-601
    DOI: 10.1002/nav.20229
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    References listed on IDEAS

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    1. Walter R. Stromquist & Lawrence D. Stone, 1981. "Constrained Optimization of Functionals with Search Theory Applications," Mathematics of Operations Research, INFORMS, vol. 6(4), pages 518-529, November.
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