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Location and shape of a rectangular facility in R^n. Convexity properties
Carrizosa, E.
Muñoz-Márquez, M.
Puerto, J.

Fecha: 1998
Resumen: In this paper we address a generalization of the Weber problem, in which we seek for the center and the shape of a rectangle (the facility) minimizing the average distance to a given set (the demand-set) which is not assumed to be finite. Some theoretical properties of the average distance are studied, and an expression for its gradient, involving solely expected distances to rectangles, is obtained. This enables the resolution of the problem by standard optimization techniques. .
Lengua: Anglès.
Documento: Article ; recerca ; article ; publishedVersion
Materia: Regional location ; Facilities ; Average distance
Publicado en: Mathematical Programming, vol. 83 n. 2 (1998) p. 277-290, ISSN 0025-5610

14 p, 418.0 KB
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