TITLE:
Optimal Coordinated Search for a Discrete Random Walker
AUTHORS:
Abd-Elmoneim A. M. Teamah, Asmaa B. Elbery
KEYWORDS:
Random Walk, Coordinate Search Technique, Lost Targets, Expected Value, Optimal Search
JOURNAL NAME:
Applied Mathematics,
Vol.10 No.5,
May
23,
2019
ABSTRACT: This paper presents the search technique for a lost target. A lost target is random walker on one of two intersected real lines, and the purpose is to detect the target as fast as possible. We have four searchers start from the point of intersection, they follow the so called Quasi-Coordinated search plan. The expected value of the first meeting time between one of the searchers and the target is investigated, also we show the existence of the optimal search strategy which minimizes this first meeting time.