Title: A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications,
Abstract: Bilevel optimization is defined as a mathematical program, where an
optimization problem contains another optimization problem as a constraint.
These problems have received significant attention from the mathematical
programming community. Only limited work exists on bilevel problems using
evolutionary computation techniques; however, recently there has been an
increasing interest due to the proliferation of practical applications and the
potential of evolutionary algorithms in tackling these problems. This paper
provides a comprehensive review on bilevel optimization from the basic
principles to solution strategies; both classical and evolutionary. A number of
potential application problems are also discussed. To offer the readers
insights on the prominent developments in the field of bilevel optimization, we
have performed an automated text-analysis of an extended list of papers
published on bilevel optimization to date. This paper should motivate
evolutionary computation researchers to pay more attention to this practical
yet challenging area.