Multilevel mixed-integer nonlinear optimization for gas markets (B08) (2022-2026)
Third Party Funds Group - Sub project
Start date : 01.07.2022
End date : 30.06.2026
Website: https://www.trr154.fau.de/subprojects-phase-3/
Overall project details
Overall project
TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154)
July 1, 2014 - July 1, 2017
Project details
Scientific Abstract
Scientific Abstract
The goal of this subproject is to develop mathematical methods to solve mixed-integer and nonlinear multilevel optimization problems for gas markets coupled with markets of other energy sectors such as electricity. Motivated by the two cases of cooperating or non-cooperating network operators of the different sectors, we investigate on the one hand bilevel problems with potentially multiple solutions on the lower level, for which we establish methods to assess pessimistic solutions. On the other hand, we study multi-leader-follower games and develop problem-tailored solution approaches. Finally, based on our mathematical and algorithmic developments, we characterize equilibria in coupled energy systems for different combinations of market designs in the considered sectors.
Involved:
Contributing FAU Organisations:
Sonderforschungsbereich/Transregio 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken
Lehrstuhl für Volkswirtschaftslehre, insbesondere Wirtschaftstheorie
Lehrstuhl für Analytics & Mixed-Integer Optimization
