Bilevel Optimization : Advances and Next Challenges.
Dempe, Stephan.; Zemkoho, Alain.
2020
HF4999.2-6182
Available Online

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Title Bilevel Optimization : Advances and Next Challenges.
Author Dempe, Stephan.
ISBN 9783030521196
3030521192
3030521184
9783030521189
DOI https://doi.org/10.1007/978-3-030-52119-6.
Publication Details Cham : Springer International Publishing AG, 2020.
Language English
Description 1 online resource (679 p.).
Item Number 10.1007/978-3-030-52119-6. doi
Call Number HF4999.2-6182
Dewey Decimal Classification 658.40301
Summary 2019 marked the 85th anniversary of Heinrich Freiherr von Stackelbergs 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.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Description based on print version record.
Added Author Zemkoho, Alain.
Series Springer Optimization and Its Applications Ser.
Available in Other Form Bilevel Optimization : Advances and Next Challenges
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Part I: Bilevel optimization, game theory, and applications
Interactions between bilevel optimization and Nash games
On Stackelberg-Nash equilibria in bilevel optimization games
A short state of the art on Multi-Leader-Follower games
Regularization and approximation methods in Stackelberg games and bilevel optimization
Applications of bilevel optimization in energy and electricity markets
Bilevel optimization of regularization hyperparameters in machine Learning
Part II: Theory and methods for linear and nonlinear bilevel optimization
Bilevel optimization and variational analysis
Constraint qualifications and optimality conditions in bilevel optimization
Algorithms for simple bilevel programming
Algorithms for linear bilevel optimization
Global search for bilevel optimization with quadratic data
MPEC methods for bilevel optimization problems
Approximate bilevel optimization with population-based evolutionary algorithms
Methods for pessimistic bilevel optimization
Part III: Extensions and uncertainty in bilevel optimization
Methods for multiobjective bilevel optimization
Bilevel optimal control: existence results and stationarity conditions
Bilevel linear optimization under uncertainty
A unified framework for multistage mixed integer linear optimization
Part IV: Numerical and research tools for bilevel optimization
BOLIB: Bilevel Optimization LIBrary of test problems
Bilevel optimization: theory, algorithms and applications
Appendix: Bilevel optimization: bibliography.

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