Bilevel optimization problems have attracted considerable attention over the last decades since their structure allows the modeling of a large number of real-life problems involving two types of decision-makers, a leader and a follower, interacting sequentially in a hierarchical setting. This rather young and highly active field at the interfaces between mathematical optimization, computer science, and operations research has grown a lot in the last years. The studied problems are constrained optimization problems in which some constraints specify that a subset of variables constitutes an optimal solution of another (nested) optimization problem. Bilevel problems constitute a class of very difficult problems because they are inherently nonconvex and nondifferentiable. They are already NP-hard even if both levels are linear problems.
In the ALOP (https://alop.uni-trier.de) autumn school on bilevel optimization we will have introductory talks on the topics of linear as well as mixed-integer linear bilevel problems and on the relation between bilevel optimization, MPECs, and variational inequalities. The confirmed speakers are Martine Labbé (Université Libre de Bruxelles), Ivana Ljubic (ESSEC Business School of Paris), and Didier Aussel (Université de Perpignan).
Due to the current circumstances, the autumn school will take place online via Zoom meetings. Registration and participation are free of charge and we will provide certificates of participation. The registration deadline is September 28, 2020.
We also plan to have an elevator pitch session, where all participants can present their current research in short talks of 3 minutes.
All relevant information and updates can be found at https://alop.uni-trier.de/event/autumn-school-on-bilevel-optimization.
Marina Leal
Martin Schmidt
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