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Criteria and approximate methods for path‐constrained moving‐target search problems

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  • Lyn C. Thomas
  • James N. Eagle

Abstract

A search is conducted for a target moving in discrete time among a finite number of cells according to a known Markov process. The searcher must choose one cell in which to search in each time period. The set of cells available for search depends upon the cell chosen in the last time period. The problem is to find a search path, i.e., a sequence of search cells, that either maximizes the probability of detection or minimizes the mean number of time periods required for detection. The search problem is modelled as a partially observable Markov decision process and several approximate solutions procedures are proposed. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:1:p:27-38
    DOI: 10.1002/1520-6750(199502)42:13.0.CO;2-H
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    References listed on IDEAS

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    1. James N. Eagle & James R. Yee, 1990. "An Optimal Branch-and-Bound Procedure for the Constrained Path, Moving Target Search Problem," Operations Research, INFORMS, vol. 38(1), pages 110-114, February.
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    3. Stephen M. Pollock, 1970. "A Simple Model of Search for a Moving Target," Operations Research, INFORMS, vol. 18(5), pages 883-903, October.
    4. 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.
    5. Richard D. Smallwood & Edward J. Sondik, 1973. "The Optimal Control of Partially Observable Markov Processes over a Finite Horizon," Operations Research, INFORMS, vol. 21(5), pages 1071-1088, October.
    6. 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.
    7. James N. Eagle, 1984. "The Optimal Search for a Moving Target When the Search Path Is Constrained," Operations Research, INFORMS, vol. 32(5), pages 1107-1115, October.
    8. 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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