Multilevel mixed-integer nonlinear optimization for gas markets (B08) (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. Veronika Grimm
Prof. Dr. Martin Schmidt

Project members:
Thomas Kleinert

Contributing FAU Organisations:
Juniorprofessur für Optimierung von Energiesystemen
Lehrstuhl für Volkswirtschaftslehre, insbesondere Wirtschaftstheorie

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


Abstract (technical / expert description):

The main goal of this project is the development of mathematical methods
for the solution of multilevel, mixed-integer, and nonlinear
optimization models for gas markets. To this end, the focus is on a
genuine four-level model of the entry-exit system that can be
reformulated as a Bilevel model. The mathematical and algorithmic insights shall then be used to characterize market solutions in the
entry-exit system and to compare them to system optima. Particular
attention is paid to booking prices for entry or exit capacity.


Publications

Kleinert, T., & Schmidt, M. (2019). Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method.
Kleinert, T., Schmidt, M., Plein, F., & Labbé, M. (2019). There's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization.

Last updated on 2019-01-04 at 10:33