Bilevel Optimization
Advances and Next Challenges
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Beschreibung
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 pursuingrelated 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.
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.
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
Autor*in
Stephan Dempe
Themen in »Bilevel Optimization«
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