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 *