Existence of cooperative search technique to find a Brownian target
El-Hadidy, M. (2020). Existence of cooperative search technique to find a Brownian target. EKB Journal Management System, 28(1), 1-12. doi: 10.1186/s42787-019-0054-5
Mohamed Abd Allah El-Hadidy. "Existence of cooperative search technique to find a Brownian target". EKB Journal Management System, 28, 1, 2020, 1-12. doi: 10.1186/s42787-019-0054-5
El-Hadidy, M. (2020). 'Existence of cooperative search technique to find a Brownian target', EKB Journal Management System, 28(1), pp. 1-12. doi: 10.1186/s42787-019-0054-5
El-Hadidy, M. Existence of cooperative search technique to find a Brownian target. EKB Journal Management System, 2020; 28(1): 1-12. doi: 10.1186/s42787-019-0054-5

Existence of cooperative search technique to find a Brownian target

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-12    PDF (721.2 K)
DOI: 10.1186/s42787-019-0054-5
Author
Mohamed Abd Allah El-Hadidy1, 2
1Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt
2Mathematics and Statistics Department, College of Science, Taibah University, Yanbu, Saudi Arabia
Abstract
This article aims to study the existence of the cooperative search technique to find a
Brownian target. We have 2n cooperative searchers coordinate their search to find a
Brownian target that moves on one of n disjoint real lines. Each line has two
searchers. All of these searchers start the searching process from the origin. Rather
than finding the conditions that make the expected value of the first interviewing
time between one of the searchers and the target is finite, we compute the
approximate value of this expected value.

Keywords
Search theory; Coordinated search technique; Probability theory; Brownian motion
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