167 eng Carrizosa, E. Location and shape of a rectangular facility in R^n. Convexity properties 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.. Article de fons. Regional location Facilities Average distance Article Muñoz-Márquez, M. Puerto, J. Elsevier vol. 83 n. 2 (1998) p. 277-290 83:2<277 Mathematical Programming 0025-5610 00255610v83n2p277 277 290 10 2 83 00255610v83n2 1998 ARTPUB info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://ddd.uab.cat/uab/matpro/00255610v83n2p277.pdf 14 428001