MUÑOZ MÁRQUEZ , Manuel

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,...

In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex program. In the special case of a discrete...

In this paper we address the problem of locating p mobile service units in an n-dimensional space minimizing the expected response time. It is shown that an optimal solution to the problem is a degenerate distribution for the service, concluding that it is optimal to park the p units. This extends previous results in the literature for location...

In this paper we consider a loss system where the arrivals can be classified into different groups according to their arrival rate and expected service time. While the standard admission policy consists of rejecting only those customers who arrive when all servers are busy, we address the problem of finding the optimal static admission policy...

This paper is devoted to the study of the Regional Weber Problem, an extension of the Weber problem which allows the demand not be concentrated onto a finite set of points. The most serious drawback of this formulation, from a resolution viewpoint, is the high computational cost involved in the evaluation of the objective function. A new...

Dans cet article on étudie un problème de Weber généralisé où la demande et l'origine qu'on doit localiser peuvent être des régions et on assume qu'elles sont distribuées selon quelque mesure de probabilité dans chaque région. On propose une notation générale pour décrire ces problèmes de localisation et on prouve quelques propriétés qui vont...

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