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Tesis Doctoral
Soluciones algebraicas a la resolución de problemas multiobjetivo discretos Algebraic solutions for solving discrete multiobjective problems
(2009)
Esta tesis doctoral estudia algunos de los aspectos algebraicos de la optimización multiobjetivo lineal y polinomial. Primeramente, en el Capítulo 1 se introducen los conceptos básicos necesarios para el desarrollo de los ...
Artículo
Robust optimal classification trees under noisy labels
(Springer, 2021-10-05)
In this paper we propose a novel methodology to construct Optimal Classification Trees that takes into account that noisy labels may occur in the training sample. The motivation of this new methodology is based on the ...
Artículo
An application of integer programming to the decomposition of numerical semigroups
(Society for Industrial and Applied Mathematics, 2012)
This paper addresses the problem of decomposing a numerical semigroup into mirreducible numerical semigroups. The problem originally stated in algebraic terms is translated, introducing the so-called Kunz-coordinates, to ...
Artículo
A semidefinite programming approach for solving multiobjective linear programming
(Springer, 2014-03)
Several algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been proposed so far an interior point algorithm ...
Artículo
Optimal arrangements of hyperplanes for SVM-based multiclass classification
(Springer, 2019-07)
In this paper, we present a novel approach to construct multiclass classifiers by means of arrangements of hyperplanes. We propose different mixed integer (linear and non linear) programming formulations for the problem ...
Artículo
Continuous multifacility ordered median location problems
(Elsevier, 2016-04-01)
In this paper we propose a general methodology for solving a broad class of continuous, multifacility location problems, in any dimension and with ℓτ -norms proposing two different methodologies: 1) by a new second order ...
Tesis Doctoral
New Advances In Data Science Problems Through Hyperplanes Location
(2022-06-02)
This thesis dissertation focus on developing new approaches for different Data Science problems from a Location Theory perspective. In particular, we concentrate on locating hyperplanes by means of solving Mixed Integer ...
Artículo
On hub location problems in geographically flexible networks
(Wiley, 2021-04-30)
In this paper, we propose an extension of the uncapacitated hub location problem where the potential posi-tions of the hubs are not fixed in advance. Instead, they are allowed to belong to a region around an initialdiscrete ...
Artículo
Revisiting several problems and algorithms in continuous location with lp norms
(Springer, 2014-07)
This paper addresses the general continuous single facility location problems in finite dimension spaces under possibly different ℓp norms in the demand points. We analyze the difficulty of this family of problems and ...
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