TY - JOUR A1 - Hante, Falk A1 - Mommer, Mario A1 - Potschka, Andreas T1 - Newton-Picard preconditioners for time-periodic, parabolic optimal control problems JF - SIAM Journal on Numerical Analysis Y1 - 2016 U6 - https://doi.org/10.1137/140967969 VL - 53 IS - 5 SP - 2206 EP - 2225 ER - TY - JOUR A1 - Göttlich, Simone A1 - Hante, Falk A1 - Potschka, Andreas A1 - Schewe, Lars T1 - Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints JF - Mathematical Programming N2 - We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach into a mixed-integer optimal control problem without combinatorial constraints and a mixed-integer problem for the combinatorial constraints in the control space. Both problems can be solved very efficiently with existing methods such as outer convexification with sum-up-rounding strategies and mixed-integer linear programming techniques. The coupling is handled using a penalty-approach. We provide an exactness result for the penalty which yields a solution approach that convergences to partial minima. We compare the quality of these dedicated points with those of other heuristics amongst an academic example and also for the optimization of electric transmission lines with switching of the network topology for flow reallocation in order to satisfy demands. Y1 - 2019 ER -