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Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique

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  • Tomás Caraballo
  • Abd El-Moneim Anwar Teamah
  • Abd Al-Aziz Hosni El-Bagoury

Abstract

This paper considers a new model in search theory to find a randomly located target in the 3-dimensional space. An approximation algorithm that facilitates searching procedures for searchers or robots is presented. The expected time to detect the target is also proved. The statistical analysis by calculating the optimal search strategy which minimizes the time to detect the target, assuming trivariate standard normal distribution is provided, and the technique by flowcharts is designed as well. The effectiveness of this strategy is illustrated by introducing an application from real world.

Suggested Citation

  • Tomás Caraballo & Abd El-Moneim Anwar Teamah & Abd Al-Aziz Hosni El-Bagoury, 2020. "Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(13), pages 3313-3328, July.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:13:p:3313-3328
    DOI: 10.1080/03610926.2019.1588323
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