4 papers · 1 filter
Switching Point Optimization for Abstract Parabolic Equations
Christoph Buchheim, Christian Meyer, Alimhan Musalatov
This work is concerned with a switching point optimization problem governed by a semilinear parabolic equation in abstract function spaces. It is shown that the switching-point-to-…
On the feasibility of generalized inverse linear programs
Christoph Buchheim, Lowig T. Duer
We investigate the feasibility problem for generalized inverse linear programs. Given an LP with affinely parametrized objective function and right-hand side as well as a target se…
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…
Extended Formulations for Binary Optimal Control Problems
Christoph Buchheim
Extended formulations are an important tool in polyhedral combinatorics. Many combinatorial optimization problems require an exponential number of inequalities when modeled as a li…