Parabolic optimal control problems with combinatorial switching constraints, Part I: Convex relaxations
C Buchheim, A Grütering, C Meyer - SIAM Journal on Optimization, 2024 - SIAM
We consider optimal control problems for partial differential equations where the controls
take binary values but vary over the time horizon; they can thus be seen as dynamic …
take binary values but vary over the time horizon; they can thus be seen as dynamic …
Parabolic optimal control problems with combinatorial switching constraints, Part II: Outer approximation algorithm
C Buchheim, A Grütering, C Meyer - SIAM Journal on Optimization, 2024 - SIAM
We consider optimal control problems for partial differential equations where the controls
take binary values but vary over the time horizon; they can thus be seen as dynamic …
take binary values but vary over the time horizon; they can thus be seen as dynamic …
Compactness and convergence rates in the combinatorial integral approximation decomposition
The combinatorial integral approximation decomposition splits the optimization of a discrete-
valued control into two steps: solving a continuous relaxation of the discrete control problem …
valued control into two steps: solving a continuous relaxation of the discrete control problem …
Improved penalty algorithm for mixed integer PDE constrained optimization problems
Optimal control problems including partial differential equation (PDE) as well as integer
constraints merge the combinatorial difficulties of integer programming and the challenges …
constraints merge the combinatorial difficulties of integer programming and the challenges …
[PDF][PDF] Matching algorithms and complexity results for constrained mixed-integer optimal control with switching costs
F Bestehorn, C Kirches - SIAM Journal on Optimization, 2020 - spp1962.wias-berlin.de
We extend recent work on the performance of the combinatorial integral approximation
decomposition approach for Mixed-Integer Optimal Control Problems (MIOCPs) in the …
decomposition approach for Mixed-Integer Optimal Control Problems (MIOCPs) in the …
[PDF][PDF] Discrete optimal control with dynamic switches: Outer approximation and Branch-and-bound
A Grütering - 2024 - eldorado.tu-dortmund.de
Many real life applications lead to optimal control problems whose control is given in form of
a finite set of switches. These switches can be operated within a given continuous time …
a finite set of switches. These switches can be operated within a given continuous time …
Combinatorial integral decompositions for mixed-integer optimal control
CU Zeile - 2021 - repo.bibliothek.uni-halle.de
Many optimization problems in science, engineering, and medicine can be modeled by
differential equations that can be steered via discrete control functions and are therefore …
differential equations that can be steered via discrete control functions and are therefore …
The integrated control deviation of mixed‐integer optimal control problems with vanishing constraints
F Bestehorn, C Kirches - PAMM, 2021 - Wiley Online Library
Mixed‐integer optimal control problems (MIOCPs) are often solved using a decomposition
approach, consisting of solving a partial outer convexified relaxed problem and using a …
approach, consisting of solving a partial outer convexified relaxed problem and using a …
[PDF][PDF] Compactness and convergence rates in the combinatorial integral approximation decomposition
S Ulbrich, K Christian, P Manns - 2020 - opus4.kobv.de
The combinatorial integral approximation decomposition splits the optimization of a discrete-
valued control into two steps: solving a continuous relaxation of the discrete control problem …
valued control into two steps: solving a continuous relaxation of the discrete control problem …
[引用][C] Mathematical Modeling and Mixed-integer Optimization of Multimodal Chromatographic Processes
DH Cebulla - 2023 - Technische Universität …