Title: Optimal searching for a randomly located target in a bounded known region

Authors: Hamdy Mohamed Abou Gabal; Mohamed Abd Allah El-Hadidy

Addresses: Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt ' Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract: This paper addresses the problem of searching for a randomly located target in a bounded known region by a single searcher. The searcher wishes to find the target's position, that is given by the value of the two independent double truncated random variables (X; Y) and they have joint symmetric probability density function f(x; y). It is desired to search in an optimal manner to minimise the expected value of the time for detecting the target, assuming double truncated circular normal distributed estimates of its position.

Keywords: optimal search path; double truncated circular normal distribution; nonlinear optimisation; randomly located targets; bounded known regions; probability density function.

DOI: 10.1504/IJCSM.2015.071811

International Journal of Computing Science and Mathematics, 2015 Vol.6 No.4, pp.392 - 403

Received: 02 Oct 2013
Accepted: 28 Jan 2014
Published online: 19 Sep 2015 *

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