Title: Random search in a bounded area

Authors: Abd El-Moneim AnwarMohamed Teamah; 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 ' Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract: This paper investigates a random search problem for a randomly moving target in a bounded area in which any time information of the target position is not available to the searcher. Let (X, Y) be two independent truncated random variables represent the position of the target at any time. We have one searcher starts searching for this target from a random point in the plane. In this paper, we found the distribution of the first meeting time between the searcher and the target and found the expected value of it.

Keywords: first meeting time; random search path; truncated distribution; circular normal; Jacobian of the transformation; bounded areas; randomly moving targets.

DOI: 10.1504/IJMOR.2017.081921

International Journal of Mathematics in Operational Research, 2017 Vol.10 No.2, pp.137 - 149

Received: 12 Jan 2015
Accepted: 02 May 2015
Published online: 31 Jan 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article