Multicriteria optimization subject to equilibrium constraints using the example of gas markets (B02)

Subject Area Mathematics
Term since 2014
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186
 

Project Description

This subproject is concerned with the coupling of an intraday gas market with the physical transport of gas through a network, subject to uncertainty. This problem is modelled as a non-cooperative equilibrium problem where each risk-averse market player makes decisions in such a way as to maximize profit while simultaneously ensuring that their collective decisions are physically feasible along the network. The goal of this project is to characterize and compute equilibria to this problem. For this, we study the existence of solutions and their sensitivity to perturbations in parameters. To develop algorithms to handle the problem computationally, stochastic approximation and feedback-type mechanisms are employed.
DFG Programme CRC/Transregios
Subproject of TRR 154:  Mathematical modelling, simulation and optimization using the example of gas networks
Applicant Institution Friedrich-Alexander-Universität Erlangen-Nürnberg
Project Heads Dr. Caroline Geiersbach, since 7/2022; Professor Dr. Michael Hintermüller