Artículo
Location and shape of a rectangular facility in ℝn. Convexity properties. Convexity properties
Autor/es | Carrizosa Priego, Emilio José
Muñoz Márquez, Manuel Puerto Albandoz, Justo |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 1998-01-01 |
Fecha de depósito | 2021-04-26 |
Publicado en |
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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 ... 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. |
Cita | Carrizosa Priego, E.J., Muñoz Márquez, M. y Puerto Albandoz, J. (1998). Location and shape of a rectangular facility in ℝn. Convexity properties. Convexity properties. Mathematical Programming, 83 (2), 277-290. |
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