Decomposition methods for mixed-integer optimal control (A05) (2014 - 2018)

Third Party Funds Group - Sub project

Overall project details

Overall project: TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks

Overall project speaker:
Prof. Dr. Alexander Martin (Economics - Discrete Optimization - Mathematics (EDOM))


Project Details

Project leader:
Prof. Dr. Günter Leugering
Prof. Dr. Alexander Martin

Project members:
Mathias Sirvent

Contributing FAU Organisations:
Economics - Discrete Optimization - Mathematics (EDOM)
Lehrstuhl für Angewandte Mathematik
SFB/TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken, TP A05

Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
Start date: 01/07/2014


Abstract (technical / expert description):


The focus lies on the development of mathematical decomposition methods for mixed-integer nonlinear optimal control problems on networks. On the top level (master) mixed-integer linear problems are in place, whereas in the sub-problem only continuous variables are considered. The exchange between the levels is performed not only via cutting planes, but also via the modelling of disjunctions to deal with non-convex optimal control problems as well. The overall emphasis is the mathematical analysis of structured mixed nonlinear optimization problems based on hierarchical models.


Publications

Burlacu, R., Egger, H., Gross, M., Martin, A., Pfetsch, M.E., Schewe, L.,... Skutella, M. (2017). A Global Optimization Approach for Instationary Gas Transport in Pipeline Networks.
Leugering, G., Martin, A., Schmidt, M., & Sirvent, M. (2017). Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks. Control and Cybernetics, 46(3), 191-225.

Last updated on 2018-27-11 at 11:46