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Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

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Bilevel Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 161))

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.

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Acknowledgements

The author’s work has been supported by Deutsche Forschungsgemeinschaft, Projects GZ DE650/7 and DE650/10.

The author is indebted to an anonymous referee for very careful reading of the original manuscript and making many useful suggestions and remarks, which resulted in essential improvements of the paper.

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Dempe, S. (2020). Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography. In: Dempe, S., Zemkoho, A. (eds) Bilevel Optimization. Springer Optimization and Its Applications, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-030-52119-6_20

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