Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique |
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| Authors: | Tomás Caraballo Abd El-Moneim Anwar Teamah Abd Al-Aziz Hosni El-Bagoury |
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| Affiliation: | 1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla c/Tarfia s/n, Sevilla, Spain;2. caraball@us.es;4. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt |
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| Abstract: | AbstractThis paper considers a new model in search theory to find a randomly located target in the 3-dimensional space. An approximation algorithm that facilitates searching procedures for searchers or robots is presented. The expected time to detect the target is also proved. The statistical analysis by calculating the optimal search strategy which minimizes the time to detect the target, assuming trivariate standard normal distribution is provided, and the technique by flowcharts is designed as well. The effectiveness of this strategy is illustrated by introducing an application from real world. |
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| Keywords: | 3-D Search search theory trivariate standard normal distributions expected time lost black box 3-D search algorithm optimal search1 |
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