Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68799
Type: Artigo de periódico
Title: On the solution of mathematical programming problems with equilibrium constraints
Author: Andreani, R
Martinez, JM
Abstract: Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints have a form that is analogous to first-order optimality conditions of constrained optimization. We prove that, under reasonable sufficient conditions, stationary points of the sum of squares of the constraints are feasible points of the MPEC. In usual formulations of MPEC all the feasible points are nonregular in the sense that they do not satisfy the Mangasarian-Fromovitz constraint qualification of nonlinear programming. Therefore, all the feasible points satisfy the classical Fritz-John necessary optimality conditions. In principle, this can cause serious difficulties for nonlinear programming algorithms applied to MPEC. However, we show that most feasible points do not satisfy a recently introduced stronger optimality condition for nonlinear programming. This is the reason why, in general, nonlinear programming algorithms are successful when applied to MPEC.
Subject: mathematical programming with equilibrium constraints
optimality conditions
minimization algorithms
reformulation
Country: Alemanha
Editor: Physica-verlag Gmbh & Co
Rights: fechado
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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