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Artículo
On Covering Methods for D.C. Optimization
(Springer, 2000-11-01)
Covering methods constitute a broad class of algorithms for solving multivariate Global Optimization problems. In this note we show that, when the objective f is d.c. and a d.c. decomposition for f is known, the computational ...
Artículo
A DC biobjective location model
(Springer, 2002)
In this paper we address the biobjective problem of locating a semiobnoxious facility, that must provide service to a given set of demand points and, at the same time, has some negative effect on given regions in the ...
Artículo
Application of a new mathematical method for the estimation of the mean surface area to calculate the percolation threshold of Lobenzarit dissodium salt in controlled release matrices
(The Pharmaceutical Society of Japan, 2004-07)
One of the practical handicaps for the application of the percolation theory to estimate the percolation threshold of drugs in controlled release systems is the fact that the dissolution studies must be carried out so that ...
Artículo
Optimization of the Norm of a Vector-Valued DC Function and Applications
(Springer, 2000-11-01)
In this paper, we show that a DC representation can be obtained explicitly for the composition of a gauge with a DC mapping, so that the optimization of certain functions involving terms of this kind can be made by using ...
Artículo
On the norm of a dc function
(Springer, 2009-11-12)
It is well known that, if a vector-valued function can be written as difference of componentwise convex functions, the norm of such function inherits this property. In this note we show that, if the norm in use is monotonic ...
Artículo
Continuous location problems and Big Triangle Small Triangle: constructing better bounds
(Springer, 2009-11)
The Big Triangle Small Triangle method has shown to be a powerful global optimization procedure to address continuous location problems. In the paper published in J. Global Optim. (37:305–319, 2007), Drezner proposes a ...
Artículo
Finding GM-estimators with global optimization techniques
(Springer, 2001-01-01)
In this note we address the problem of finding the GM-estimator for the location parameter of a univariate random variable. When this problem is non-convex but d.c. one can use a standard covering method, which, in the ...
Artículo
Locating Objects in the Plane Using Global Optimization Techniques
(Informs, 2009-10-07)
We address the problem of locating objects in the plane such as segments, arcs of circumferences, arbitrary convex sets, their complements or their boundaries. Given a set of points, we seek the rotation and translation ...
Artículo
Inferring efficient weights from pairwise comparison matrices
(Springer, 2006-10)
Several multi-criteria-decision-making methodologies assume the existence of weights associated with the different criteria, reflecting their relative importance.One of the most popular ways to infer such weights is the ...