Decomposition methods for mixed-integer optimal control (A05) (2018 - 2022)

Third Party Funds Group - Sub project

Overall project details

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


Project Details

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

Project members:
Richard Krug

Contributing FAU Organisations:
Economics - Discrete Optimization - Mathematics (EDOM)
Juniorprofessur für Optimierung von Energiesystemen
Lehrstuhl für Angewandte Mathematik
Sonderforschungsbereich/Transregio 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken

Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
Start date: 01/07/2018
End date: 30/06/2022


Research Fields

Energy
Economics - Discrete Optimization - Mathematics (EDOM)


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.


Last updated on 2018-27-11 at 11:41