Optimal Search for a Moving Target in Discrete Time and Space
Scott Shorey Brown
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Scott Shorey Brown: Daniel H. Wagner, Associates, Paoli, Pennsylvania
Operations Research, 1980, vol. 28, issue 6, 1275-1289
Abstract:
We consider optimal search for a moving target in discrete space. A limited amount of search effort is available at each of a fixed number of time intervals and we assume an exponential detection function. We show that a search plan maximizes the overall probability of detection if and only if for each time interval i the search conducted at time i maximizes the probability of detecting a stationary target with the probability that the stationary target occupies cell c equal to the probability that the moving target occupies cell c at time i and is not detected by the search at any time interval other than i . This characterization gives an iterative algorithm to compute optimal search plans. These plans are compared with incrementally optimal plans.
Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:28:y:1980:i:6:p:1275-1289
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