Author(s)

Abd Elmoneim A. Teamah, Mohamed A. El-Hadidy, Marwa M. El-Ghoul

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

This paper presents search model for a randomly moving target which follows truncated Brownian motion. The conditions that make the expected value of the first meeting time between the searcher and the target is finite are given. We show the existence of an optimal strategy which minimizes this first meeting time.

Search Plan, Truncated Brownian Motion, Expected Value, First Meeting Time

Teamah, A. , El-Hadidy, M. and El-Ghoul, M. (2017) Searching for a Target Whose Truncated Brownian Motion. Applied Mathematics, 8, 786-798. doi: 10.4236/am.2017.86061.