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ANOR
2007
91views more  ANOR 2007»
13 years 11 months ago
An overview of bilevel optimization
Abstract This paper is devoted to bilevel optimization, a branch of mathematical programming of both practical and theoretical interest. Starting with a simple example, we proceed ...
Benoît Colson, Patrice Marcotte, Gilles Sava...
4OR
2005
158views more  4OR 2005»
13 years 11 months ago
Bilevel programming: A survey
This paper provides an introductory survey of a class of optimization problems known as bilevel programming. We motivate this class through a simple application, and then proceed w...
Benoît Colson, Patrice Marcotte, Gilles Sava...
AMC
2006
107views more  AMC 2006»
13 years 11 months ago
Linear bilevel programming with upper level constraints depending on the lower level solution
Focus in the paper is on the definition of linear bilevel programming problems, the existence of optimal solutions and necessary as well as sufficient optimality conditions. In th...
Ayalew Getachew Mersha, Stephan Dempe
EMO
2009
Springer
190views Optimization» more  EMO 2009»
14 years 5 months ago
Solving Bilevel Multi-Objective Optimization Problems Using Evolutionary Algorithms
Abstract. Bilevel optimization problems require every feasible upperlevel solution to satisfy optimality of a lower-level optimization problem. These problems commonly appear in ma...
Kalyanmoy Deb, Ankur Sinha
CEC
2009
IEEE
14 years 5 months ago
Constructing test problems for bilevel evolutionary multi-objective optimization
— Many real-world problems demand a feasible solution to satisfy physical equilibrium, stability, or certain properties which require an additional lower level optimization probl...
Kalyanmoy Deb, Ankur Sinha