Locating a service facility and a rapid transit line

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/18608

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor.author	Díaz Bañez, José Miguel
dc.contributor.author	Korman Cozzetti, Matías
dc.contributor.author	Pérez Lantero, Pablo
dc.contributor.author	Ventura, Immaculada
dc.date	2011
dc.identifier.citation	Díaz, J. [et al.]. Locating a service facility and a rapid transit line. A: Spanish Meeting on Computational Geometry. "Computational Geometry: XIV Spanish Meeting on Computational Geometry, EGC 2011, dedicated to Ferran Hurtado on the occasion of His 60th birthday, Alcalá de Henares, Spain, June 27-30, 2011: revised selected papers". Alcalá de Henares (Madrid): Springer, 2011, p. 126-137.
dc.identifier.citation	978-3-642-34190-8
dc.identifier.uri	http://hdl.handle.net/2117/18608
dc.language.iso	eng
dc.publisher	Springer
dc.relation	http://link.springer.com/chapter/10.1007%2F978-3-642-34191-5_12
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subject	Computational geometry
dc.subject	Geometric optimization
dc.subject	Facility location
dc.subject	Time distance
dc.subject	Hurtado, Ferran -- Homenatges
dc.subject	Geometria computacional
dc.title	Locating a service facility and a rapid transit line
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/conferenceObject
dc.description.abstract	In this paper we study a facility location problem in the plane in which a single point (facility) and a rapid transit line (highway) are simultaneously located in order to minimize the total travel time of the clients to the facility, using the L 1 or Manhattan metric. The rapid transit line is represented by a line segment with fixed length and arbitrary orientation. The highway is an alternative transportation system that can be used by the clients to reduce their travel time to the facility. This problem was introduced by Espejo and Rodríguez-Chía in [8]. They gave both a characterization of the optimal solutions and an algorithm running in O(n 3logn) time, where n represents the number of clients. In this paper we show that the Espejo and Rodríguez-Chía’s algorithm does not always work correctly. At the same time, we provide a proper characterization of the solutions with a simpler proof and give an algorithm solving the problem in O(n 3) time.
dc.description.abstract	Peer Reviewed

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