Editors:
- Covers the main algorithmic approaches to bilevel optimization, including local, global, and heuristic techniques
- Discusses established and emerging applications, particularly in data analytics, security, energy, electricity markets, and problems over networks
- Includes developments in linear, non-linear, optimistic, pessimistic, and mixed-integer bilevel optimization
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 161)
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Table of contents (20 chapters)
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Front Matter
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Bilevel Optimization, Game Theory, and Applications
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Front Matter
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Theory and Methods for Linear and Nonlinear Bilevel Optimization
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Front Matter
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Extensions and Uncertainty in Bilevel Optimization
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Front Matter
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About this book
2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg’s habilitation thesis “Marktform und Gleichgewicht,” which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization.
Keywords
- Algorithms for linear bilevel optimization
- Local algorithms for bilevel optimization
- Global algorithms for bilevel optimization
- Algorithms for mixed integer bilevel optimization
- Applications of bilevel optimization in data analytics
- Applications of in energy and electricity markets
- Applications in transportation and networks
- Bilevel optimization under uncertainty
- Multi-leader-multi-follower games
- Bilevel security games and interdiction problems
- Methods of multiobjective bilevel optimization
- Methods for bilevel optimal control
- Evolutionary and genetic algorithms for bilevel optimization
- Heuristic algorithms for bilevel optimization
- Software development for bilevel optimization
- Multilevel decision making
- Applications for bilevel optimization in supply chain management
- Bilevel optimization and variational analysis
- Bilevel optimization for optimal incentive systems
Editors and Affiliations
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Institute of Numerical Mathematics and Optimization, TU Bergakademie Freiberg, Freiberg, Germany
Stephan Dempe
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School of Mathematical Sciences, University of Southampton, Southampton, UK
Alain Zemkoho
About the editors
Stephan Dempe is a Professor of Mathematical Optimization at the Technical University Bergakademie Freiberg, Germany. He is one of the world’s leading experts on bilevel optimization and has published four books and more than 50 articles on the subject.
Alain Zemkoho is an Associate Professor of Operational Research at the School of Mathematical Sciences, University of Southampton, United Kingdom. His main research focus is on bilevel optimization, an area in which he has published many papers on the theory and numerical solution methods.Bibliographic Information
Book Title: Bilevel Optimization
Book Subtitle: Advances and Next Challenges
Editors: Stephan Dempe, Alain Zemkoho
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-030-52119-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-52118-9Published: 24 November 2020
Softcover ISBN: 978-3-030-52121-9Published: 24 November 2021
eBook ISBN: 978-3-030-52119-6Published: 23 November 2020
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XV, 672
Number of Illustrations: 40 b/w illustrations
Topics: Operations Research/Decision Theory, Optimization, Game Theory, Game Theory, Economics, Social and Behav. Sciences