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Optimal Multiplicative Generalized Linear Search Plan for a Discrete Random Walker

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  • Abd-Elmoneim Anwar Mohamed
  • Mohamed Abd Allah El-Hadidy

Abstract

This paper formulates a search model that gives the optimal search plan for the problem of finding a discrete random walk target in minimum time. The target moves through one of n -disjoint real lines in : we have n -searchers starting the searching process for the target from any point rather than the origin. We find the conditions that make the expected value of the fi rst meeting time between one of the searchers and the target fi nite. Furthermore, we show the existence of the optimal search plan that minimizes the expected value of the fi rst meeting time and fi nd it. The effectiveness of this model is illustrated using numerical example.

Suggested Citation

  • Abd-Elmoneim Anwar Mohamed & Mohamed Abd Allah El-Hadidy, 2013. "Optimal Multiplicative Generalized Linear Search Plan for a Discrete Random Walker," Journal of Optimization, Hindawi, vol. 2013, pages 1-13, July.
    • Handle: RePEc:hin:jjopti:706176
    DOI: 10.1155/2013/706176
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    References listed on IDEAS

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    1. Akira Ohsumi, 1991. "Optimal search for a Markovian target," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 531-554, August.
    2. Stanley J. Benkoski & Michael G. Monticino & James R. Weisinger, 1991. "A survey of the search theory literature," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 469-494, August.
    3. Reyniers, Diane J., 1996. "Coordinated search for an object hidden on the line," European Journal of Operational Research, Elsevier, vol. 95(3), pages 663-670, December.
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    Cited by:

    1. Mohamed Abd Allah El-Hadidy, 2016. "On Maximum Discounted Effort Reward Search Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-30, June.

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