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Bilevel optimization problems with vectorvalued objective functions in both levels

Stephan Dempe(dempe***at***tu-freiberg.de)
Susanne Franke(franke***at***math.tu-freiberg.de)

Abstract: Bilevel optimization problems with multivalued objective functions in both levels are first replaced by a problem with a parametric lower level using a convex combination of the lower level objectives. Thus a nonconvex multiobjective bilevel optimization problem arises which is then transformed into a parametric bilevel programming problem. The investigated problem has been considered in the paper \cite{FaAn10} using ideas from fuzzy optimization. It is one goal to correct some of the wrong ideas in the paper \cite{FaAn10}.

Keywords: Bilevel programming; multiobjective optimization; linear optimization; k-th best algorithm

Category 1: Nonlinear Optimization (Other )

Citation: Working Paper Department of Mathematics and Computer Science, TU Bergakademie Freiberg, 2012

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Entry Submitted: 05/23/2012
Entry Accepted: 05/23/2012
Entry Last Modified: 05/23/2012

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