Optimal search strategy for a three-dimensional randomly located target

Mohamed Abd Allah El-Hadidy and Abd Al-Aziz Hosni El-Bagoury

International Journal of Operational Research, 2017, vol. 29, issue 1, 115-126

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.

Keywords: optimal search path; revolutions; trivariate standard normal distribution; expected search time; nonlinear optimisation; randomly located targets; probability density function; PDF. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:29:y:2017:i:1:p:115-126

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