Optimal Positioning of a Mobile Service Unit on a Line

In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex...

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Detalles Bibliográficos
Autores: Carrizosa Priego, Emilio José, Muñoz Márquez, Manuel, Puerto Albandoz, Justo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/107718
Acceso en línea:https://hdl.handle.net/11441/107718
https://doi.org/10.1023/A:1020993417646
Access Level:acceso abierto
Palabra clave:location
facilities planning and design
stochastic location
patrolling
Descripción
Sumario:In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex program. In the special case of a discrete demand (a simple probability measure), an algorithm which runs in expected linear time is proposed.