Title: Stability of the optimal distribution for the searching effort to find the Markovian targets by using fuzzy maximum discounted effort reward search: case of the cooperative search techniques

Authors: Alaa Awad Alzulaibani

Addresses: Mathematics and Statistics Department, College of Science, Taibah University, Yanbu, Saudi Arabia

Abstract: The aim of this paper is to study the stability of the optimal distribution for the searching effort to detect two related Markovian targets by using multiple cooperative searchers. This effort, at each fixed number of time intervals, is a random variable with a normal distribution. The optimal solution (which makes the discounted effort reward with fuzzy parameter maximum) is obtained from solving a fuzzy stochastic optimisation problem. Rather than presenting an algorithm that shows the stability of the optimal distribution of an effort, we study more interesting special cases of located spider landmines and unrestricted effort. Two illustrative examples of Markovian and randomly located spider landmines are discussed.

Keywords: probability theory; stability of the optimal search; fuzzy stochastic optimisation problem; Markovian targets.

DOI: 10.1504/IJMOR.2020.109044

International Journal of Mathematics in Operational Research, 2020 Vol.17 No.1, pp.1 - 29

Received: 05 Sep 2018
Accepted: 25 Apr 2019
Published online: 17 Aug 2020 *

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