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Detection of a Markovian target with optimization of the search efforts under generalized linear constraints

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  • Frédéric Dambreville
  • Jean‐Pierre Le Cadre

Abstract

This paper deals with search for a target following a Markovian movement or a conditionally deterministic motion. The problem is to allocate the search efforts, when search resources renew with generalized linear constraints. The model obtained is extended to resource mixing management. New optimality equations of de Guenin's style are obtained. Practically, the problem is solved by using an algorithm derived from the FAB method. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 117–142, 2002; DOI 10.1002/nav.10009

Suggested Citation

  • Frédéric Dambreville & Jean‐Pierre Le Cadre, 2002. "Detection of a Markovian target with optimization of the search efforts under generalized linear constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 117-142, March.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:2:p:117-142
    DOI: 10.1002/nav.10009
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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.
    2. Jacques de Guenin, 1961. "Optimum Distribution of Effort: An Extension of the Koopman Basic Theory," Operations Research, INFORMS, vol. 9(1), pages 1-7, February.
    3. Stanley J. Benkoski & Michael G. Monticino & James R. Weisinger, 1991. "A survey of the search theory literature," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 469-494, August.
    4. Scott Shorey Brown, 1980. "Optimal Search for a Moving Target in Discrete Time and Space," Operations Research, INFORMS, vol. 28(6), pages 1275-1289, December.
    5. Alan R. Washburn, 1983. "Search for a Moving Target: The FAB Algorithm," Operations Research, INFORMS, vol. 31(4), pages 739-751, August.
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