Optimal search strategy for a three-dimensional randomly located target

Optimal search strategy for a three-dimensional randomly located target

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Article ID: iaor20171124
Volume: 29
Issue: 1
Start Page Number: 115
End Page Number: 126
Publication Date: Mar 2017
Journal: International Journal of Operational Research
Authors: ,
Keywords: probability
Abstract:

In this paper, we formulate a new search model that finds a three‐dimensional randomly located target in a known zone by a single searcher. The searcher wishes to find the target's position, that is given by the value of the three independent trivariate random variables (X, Y, Z) and they have joint symmetric probability density function f(x, y, z). The purpose is to obtain an optimal search strategy that minimises the expected value of the time required to detect the target, assuming trivariate standard normal distributed estimates of its position. An illustrative example is given to demonstrate the applicability of this technique.

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