TY  - CHAP
A1  - Altherr, Lena
A1  - Ederer, Thorsten
A1  - Lorenz, Ulf
A1  - Pelz, Peter F.
A1  - Pöttgen, Philipp
ED  - Lübbecke, Marco E.
ED  - Koster, Arie
ED  - Letmathe, Peter
ED  - Madlener, Reihard
ED  - Preis, Britta
ED  - Walther, Grit
T1  - Designing a feedback control system via mixed-integer programming
T2  - Operations Research Proceedings 2014: Selected Papers of the Annual International Conference of the German Operations Research
N2  - Pure analytical or experimental methods can only find a control strategy for technical systems with a fixed setup. In former contributions we presented an approach that simultaneously finds the optimal topology and the optimal open-loop control of a system via Mixed Integer Linear Programming (MILP). In order to extend this approach by a closed-loop control we present a Mixed Integer Program for a time discretized tank level control. This model is the basis for an extension by combinatorial decisions and thus for the variation of the network topology. Furthermore, one is able to appraise feasible solutions using the global optimality gap.
KW  - Optimal Topology
KW  - Controller Parameter
KW  - Level Control System
KW  - Technical Operation Research
KW  - Optimal Closed Loop
Y1  - 2016
SN  - 978-3-319-28695-2
U6  - http://dx.doi.org/10.1007/978-3-319-28697-6_18
SP  - 121
EP  - 127
PB  - Springer
CY  - Cham
ER  - 
TY  - CHAP
A1  - Altherr, Lena
A1  - Dörig, Bastian
A1  - Ederer, Thorsten
A1  - Pelz, Peter Franz
A1  - Pfetsch, Marc
A1  - Wolf, Jan
T1  - A mixed-integer nonlinear program for the design of gearboxes
T2  - Operations Research Proceedings 2016
N2  - Gearboxes are mechanical transmission systems that provide speed and torque conversions from a rotating power source. Being a central element of the drive train, they are relevant for the efficiency and durability of motor vehicles. In this work, we present a new approach for gearbox design: Modeling the design problem as a mixed-integer nonlinear program (MINLP) allows us to create gearbox designs from scratch for arbitrary requirements and—given enough time—to compute provably globally optimal designs for a given objective. We show how different degrees of freedom influence the runtime and present an exemplary solution.
Y1  - 2017
SN  - 978-3-319-55701-4
U6  - http://dx.doi.org/10.1007/978-3-319-55702-1_31
SP  - 227
EP  - 233
PB  - Springer
CY  - Cham
ER  -