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On the linear cooperative search technique for a lost target with multiple searchers

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  • Mohamed Abd Allah El-Hadidy
  • Hamdy M. Abou-Gabal

Abstract

We discuss the linear cooperative search model to detect a hidden and randomly located target on one of the n-intersected roads (real lines). The searching process starts from the origin with n searchers. Each one of these roads has one unit speed searcher. We get the expected value of the searching time until the (n - 1) searchers return to the origin after the target has been detected by the other searcher. We obtain the optimal distances for these n searchers to get the optimal search strategy which minimises the expected time of return. An interesting case with numerical results is studied when the target's position has a truncated normal distribution.

Suggested Citation

  • Mohamed Abd Allah El-Hadidy & Hamdy M. Abou-Gabal, 2022. "On the linear cooperative search technique for a lost target with multiple searchers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 21(2), pages 221-231.
    • Handle: RePEc:ids:ijmore:v:21:y:2022:i:2:p:221-231
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