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Bilevel optimization: theory, algorithms and applications

Stephan Dempe(dempe***at***tu-freiberg.de)

Abstract: Bilevel optimization problems are hierarchical optimization problems where the feasible region of the so-called upper level problem is restricted by the graph of the solution set mapping of the lower level problem. Aim of this article is to collect a large number of references on this topic, to show the diversity of contributions and to support young colleagues who try to start research in this challenging and interesting field.

Keywords: Bilevel Optimization; Mathematical Programs with Complementarity Constraints; Optimality conditions; Applications; Necessary optimality conditions; Solution algorithms; Metaheuristics; Optimistic and pessimistic bilevel optimization problems.

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: Preprint 2018-11, Fakultät für Mathematik und Informatik, TU Bergakademie Freiberg

Download: [PDF]

Entry Submitted: 08/17/2018
Entry Accepted: 08/17/2018
Entry Last Modified: 08/17/2018

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