Expected Value of Asymmetric Coordinated Search Technique for Detecting a Randomly Located Target on the Plane

Sundus Naji AL-Aziz

Department of Mathematics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, KSA

Abstract

This paper proposes Asymmetric coordination strategy, we study coordinated search technique for a lost located object on the plan, where there are two searchers beginning their search from the same initial point (0, 0), but both sides do not have the same area. Here we introduce a model of search plan and investigate the expected value of detecting the lost target in both sides to avoid wasting time. We present an algorithm to facilitate the search technique. An illustrative application from real life has been introduced to demonstrate the applicability of this search technique. The effectiveness of this model has been illustrated by numerical results

Keywords: Expected value; coordinated search; minimizing the expected time; AST, probability theory 2-dimentional algorithm; lost submarine