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math.OC2024
Parabolic optimal control problems with combinatorial switching constraints -- Part III: Branch-and-bound algorithm
Christoph Buchheim, Alexandra Grütering, Christian Meyer
We present a branch-and-bound algorithm for globally solving parabolic optimal control problems with binary switches that have bounded variation and possibly need to satisfy furthe…
math.OC2022
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part I: Existence Results
Sebastian Hillbrecht, Christian Meyer
This paper is concerned with an optimization problem governed by the Kantorovich optimal transportation problem. This gives rise to a bilevel optimization problem, which can be ref…
math.OC2014
Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the 2nd kind
Juan-Carlos De Los Reyes, Christian Meyer
We investigate optimality conditions for optimization problems constrained by a class of variational inequalities of the second kind. Based on a nonsmooth primal-dual reformulation…