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There has been much interest in studying symmetric cone complementarity problems. In this paper, we study the circular cone complementarity problem (denoted by CCCP) which is a type of nonsymmetric cone complementarity problem. We first construct two smoothing functions for the CCCP and show that they are all coercive and strong semismooth. Then we propose a smoothing algorithm to solve the CCCP. The proposed algorithm generates an infinite sequence such that the value of the merit function converges...
El propósito de este trabajo es dar una construcción explícita del test de máxima potencia para un constraste de hipótesis paramétrico en el que tanto la hipótesis nula como la hipótesis alternativa son simples, utilizando para ello técnicas del Análisis Funcional y de Programación Matemática.
Estudiamos los principales tipos de conceptos de óptimo considerados en problemas de optimización multiobjetivo, cuando la ordenación de alternativas se regula mediante un cono K convexo: soluciones K-maximales, débilmente K-maximales, fuertemente K-maximales, propiamente K-maximales. Damos caracterizaciones en problemas generales de optimización vectorial y condiciones suficientes en problemas de maximización de funciones de valor vectoriales y escalares, particularizando después al caso de conos...
La Teoría de Estructuras de Dominación, introducida por P. L. Yu como nuevo procedimiento de solución a problemas multiobjetivo, presenta bastantes lagunas, debidas sin duda a la novedad del tema. Nos hemos propuesto en este trabajo caracterizar completamente los puntos no dominados, por distintos procedimientos, así como seleccionar entre ellos un subconjunto más deseable ("soluciones propias"). Se abordan también condiciones para soluciones no dominadas en el espacio de decisiones.
Se relacionan varios conceptos de "punto propiamente no dominado", introducidos para eliminar soluciones no dominadas "poco deseables", dándose condiciones para las distintas implicaciones y equivalencias.
This paper considers large shift scheduling problems with different shift
start times and lengths, fractionable breaks and work stretch duration
restrictions. Two solution approaches are proposed to solve the problems
over a multiple-day planning horizon. The first approach is based on a
local branching strategy and the second one is based on a temporal
decomposition of the problem. Local branching is very
efficient in finding good feasible solutions when compared to a classical
branch-and-bound...
Fractionnal mathematical programs appear in numerous operations research, computer science and economic domains. We consider in this paper the problem of maximizing the sum of 0–1 hyperbolic ratios (SRH). In contrast to the single ratio problem, there has been little work in
the literature concerning this problem. We propose two mixed-integer linear programming formulations of SRH and develop two different strategies to solve them. The first one consists in using directly a general-purpose mixed-integer...
A special class of generalized Nash equilibrium problems is studied. Both variational and quasi-variational inequalities are used to derive some results concerning the structure of the sets of equilibria. These results are applied to the Cournot oligopoly problem.
Properties of (max,+)-linear and (min,+)-linear equation systems are used to study solvability of the systems. Solvability conditions of the systems are investigated. Both one-sided and two-sided systems are studied. Solvability of one class of (max,+)-nonlinear problems will be investigated. Small numerical examples illustrate the theoretical results.
Proper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a traffic situation, the overhead wire DC electrical circuit is associated with a non-linear power flow problem. Although the Newton-Raphson method is well-known and widely accepted for seeking its solution, the existence of such a solution is not guaranteed. Particularly...
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