Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique

This 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 ca...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Teamah, Abd El-Moneim Anwar, El-Bagoury, Abd Al-Aziz Hosni
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/100792
Acceso en línea:https://hdl.handle.net/11441/100792
https://doi.org/10.1080/03610926.2019.1588323
Access Level:acceso abierto
Palabra clave:3-D Search
Search theory
Trivariate standard normal distributions
Expected time
Lost black box
3-D search algorithm
Optimal search
Descripción
Sumario:This 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.