Locating a semi-obnoxious covering facility with repelling polygonal regions

A facility is to be located in the Euclidean plane to serve certain sites by covering them closely. Simultaneously, a set of polygonal areas must be protected from the negative effects from that facility. The problem is formulated as a margin maximization model. Necessary optimality conditions are s...

Descripción completa

Detalles Bibliográficos
Autores: Plastria, Frank, Gordillo, José, Carrizosa Priego, Emilio José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/107732
Acceso en línea:https://hdl.handle.net/11441/107732
https://doi.org/10.1016/j.dam.2013.05.010
Access Level:acceso abierto
Palabra clave:Continuous location
Push–pull
Semi-obnoxious facility
Covering
Euclidean distance
Margin maximization
Descripción
Sumario:A facility is to be located in the Euclidean plane to serve certain sites by covering them closely. Simultaneously, a set of polygonal areas must be protected from the negative effects from that facility. The problem is formulated as a margin maximization model. Necessary optimality conditions are studied and a finite dominating set of solutions is obtained, leading to a polynomial algorithm. The method is illustrated on some examples.