-

 

 

 




Optimization Online





 

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

Download: [PDF]

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

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society