The generalized Weber problem with expected distances

In this paper we study a generalized Weber problem where both demand locations and the facility to be located may be regions and to be assumed to be distributed according to some probability measures inside each region. A general notation is proposed to describe these location problems and several p...

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Detalles Bibliográficos
Autores: Carrizosa Priego, Emilio José, Conde Sánchez, Eduardo, Muñoz Márquez, Manuel, Puerto Albandoz, Justo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1995
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/36524
Acceso en línea:http://hdl.handle.net/11441/36524
https://doi.org/10.1051/ro/1995290100351
Access Level:acceso abierto
Palabra clave:Location theory
average distances
regional facilities
Localisation
distances moyennes
services sur régions
Descripción
Sumario:In this paper we study a generalized Weber problem where both demand locations and the facility to be located may be regions and to be assumed to be distributed according to some probability measures inside each region. A general notation is proposed to describe these location problems and several properties are proved which enable the resolution of the problem using existing algorithms. In some special cases the gradient of the objective function is evaluated, lending to the resolution of a wide range of problems even when the exact expression for the objective function is unknown. This methodology is applied to some cases.