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A pseudo-polynomial heuristic for path-constrained discrete-time Markovian-target search

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  • Hong, Sung-Pil
  • Cho, Sung-Jin
  • Park, Myoung-Ju
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    Abstract

    We propose a new heuristic for the single-searcher path-constrained discrete-time Markovian-target search. The algorithm minimizes an approximate, instead of exact, nondetection probability computed from the conditional probability that reflects the search history over the time windows of a fixed length, l. Having a pseudo-polynomial complexity, it can solve, in reasonable time, the instances an order of magnitude larger than those solved in the previous studies. By an asymptotic analysis relying on the fast-mixing Markov chain, we show that the relative error of the approximation exponentially diminishes as l increases and the experimental results confirm the analysis. The experiment also reveals a correlation very close to 1 between the approximate and exact nondetection probability of a search path. This means that the heuristic produces near-optimal search paths.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4R2RMVT-1/2/adb96b4da11fcfe5355280c5b7a80ee7
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 2 (March)
    Pages: 351-364

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:351-364

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Search theory Heuristics Markov processes Network flows;

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    1. Hohzaki, Ryusuke & Iida, Koji, 1997. "Optimal strategy of route and look for the path constrained search problem with reward criterion," European Journal of Operational Research, Elsevier, vol. 100(1), pages 236-249, July.
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