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Optimal search plan minimizing the expected risk of the search for a target with conditionally deterministic motion

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  • Köji Iida

Abstract

This article deals with a search problem for a moving target with a rather simple type of motion called factorable conditionally deterministic. A search plan is characterized by (ϕ, T), the elements of which specify how to search and when to stop the search, respectively. The problem is to find the optimal search plan which minimizes the expected risk (the expected search cost minus the expected reward). We obtain conditions for the optimal search plan, and applying the theorems, we derive the optimal search plan in a closed form for the case in which the target moves straight from a fixed point selecting his course and speed randomly.

Suggested Citation

  • Köji Iida, 1989. "Optimal search plan minimizing the expected risk of the search for a target with conditionally deterministic motion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 597-613, October.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:5:p:597-613
    DOI: 10.1002/1520-6750(198910)36:53.0.CO;2-7
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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. John M. Danskin, 1968. "A Helicopter Versus Submarine Search Game," Operations Research, INFORMS, vol. 16(3), pages 509-517, June.
    3. Lawrence D. Stone, 1979. "Necessary and Sufficient Conditions for Optimal Search Plans for Moving Targets," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 431-440, November.
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    Cited by:

    1. Joseph Foraker & Johannes O. Royset & Isaac Kaminer, 2016. "Search-Trajectory Optimization: Part I, Formulation and Theory," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 530-549, May.

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