167
20140614130853.0
00255610v83n2p277
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..
Anglès.
recerca
Regional location
Facilities
Average distance
Article
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Muñoz-Márquez, M.
Puerto, J.
vol. 83 n. 2 (1998) p. 277-290
Mathematical Programming
0025-5610
14
428001
http://ddd.uab.cat/uab/matpro/00255610v83n2p277.pdf
277
290
10
2
83
00255610v83n2
1998
ARTPUB