Optimization Online


Methods for multiobjective bilevel optimization

Gabriele Eichfelder(Gabriele.Eichfelder***at***tu-ilmenau.de)

Abstract: This paper is on multiobjective bilevel optimization, i.e. on bilevel optimization problems with multiple objectives on the lower or on the upper level, or even on both levels. We give an overview on the major optimality notions used in multiobjective optimization. We provide characterization results for the set of optimal solutions of multiobjective optimization problems by means of scalarization functionals and optimality conditions. These can be used in theoretical and numerical approaches to multiobjective bilevel optimization. As multiple objectives arise in multiobjective optimization as well as in bilevel optimization problems, we also point out the results on the connection between these two classes of optimization problems. Finally, we given reference to numerical approaches which have been followed in the literature to solve these kind of problems. We concentrate in this paper on nonlinear problems, while the results and statements then naturally also hold for the linear case.

Keywords: multiobjective bilevel optimization; two level optimization; multicriteria optimization; vector optimization

Category 1: Nonlinear Optimization (Constrained Nonlinear Optimization )

Category 2: Other Topics (Multi-Criteria Optimization )


Download: [PDF]

Entry Submitted: 08/12/2019
Entry Accepted: 08/12/2019
Entry Last Modified: 08/12/2019

Modify/Update this entry

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


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