Title: 3-dimensional coordinated search technique for a randomly located target

Authors: Mohamed Abd Allah El-Hadidy; Abd El-Moneim Anwar Teamah; Abd Al-Aziz Hosni El-Bagoury

Addresses: Mathematics and Statistics Department, Faculty of Science, Taibah University, Yanbu, Kingdom of Saudi Arabia; Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt ' Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt ' Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract: This paper involves a new coordinated search model that determines a three dimensional randomly located target by using two searchers. Rather than finding the expected value the time for detecting the target in case of symmetric and asymmetric trivariate known distribution. We obtain the optimal search strategy that minimises the expected value of the detection time of the search to detect the target, assuming standard normal and skew standard normal distributions. An illustrative example has been given to demonstrate the applicability of this technique.

Keywords: optimal search theory; coordinated search technique; skew standard normal distributions.

DOI: 10.1504/IJCSM.2018.093152

International Journal of Computing Science and Mathematics, 2018 Vol.9 No.3, pp.258 - 272

Received: 23 Mar 2017
Accepted: 17 Jun 2017

Published online: 28 Jun 2018 *

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