A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications
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 evolution...
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| Published in: | IEEE transactions on evolutionary computation Vol. 22; no. 2; pp. 276 - 295 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
IEEE
01.04.2018
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| Subjects: | |
| ISSN: | 1089-778X, 1941-0026 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| ISSN: | 1089-778X 1941-0026 |
| DOI: | 10.1109/TEVC.2017.2712906 |