Optimal searching for a randomly located target in a bounded known region Online publication date: Sat, 19-Sep-2015
by Hamdy Mohamed Abou Gabal; Mohamed Abd Allah El-Hadidy
International Journal of Computing Science and Mathematics (IJCSM), Vol. 6, No. 4, 2015
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.
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