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A Simple Model of Search for a Moving Target

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  • Stephen M. Pollock

    (University of Michigan, Ann Arbor, Michigan)

Abstract

A target moves between two regions in a Markovian fashion, the parameters of which are known to the searcher. Discrete amounts of search effort (“looks”) may be allocated to one region at a time. This paper gives equations that characterize (a) the minimum expected number of looks to detect the target, and (b) the maximum probability of detecting the target within a given number of looks. These are solved completely for special cases, and numerical approximate solutions are described for general cases.

Suggested Citation

  • Stephen M. Pollock, 1970. "A Simple Model of Search for a Moving Target," Operations Research, INFORMS, vol. 18(5), pages 883-903, October.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:5:p:883-903
    DOI: 10.1287/opre.18.5.883
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    Cited by:

    1. Benoit Duvocelle & János Flesch & Hui Min Shi & Dries Vermeulen, 2021. "Search for a moving target in a competitive environment," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 547-557, June.
    2. Duvocelle, Benoit & Flesch, János & Staudigl, Mathias & Vermeulen, Dries, 2022. "A competitive search game with a moving target," European Journal of Operational Research, Elsevier, vol. 303(2), pages 945-957.
    3. János Flesch & Emin Karagözoǧlu & Andrés Perea, 2009. "Optimal search for a moving target with the option to wait," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 526-539, September.
    4. Hong, Sung-Pil & Cho, Sung-Jin & Park, Myoung-Ju, 2009. "A pseudo-polynomial heuristic for path-constrained discrete-time Markovian-target search," European Journal of Operational Research, Elsevier, vol. 193(2), pages 351-364, March.
    5. Lindset, Snorre & Lund, Arne-Christian & Matsen, Egil, 2009. "Optimal information acquisition for a linear quadratic control problem," European Journal of Operational Research, Elsevier, vol. 199(2), pages 435-441, December.
    6. Lyn C. Thomas & James N. Eagle, 1995. "Criteria and approximate methods for path‐constrained moving‐target search problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(1), pages 27-38, February.

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