M.Sc. Lukas Hümbs
MIP techniques for equilibrium models with integer constraints (B07) (2018 - 2022)
(Third Party Funds Group – Sub project)Overall project: TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken
Term: 01-07-2018 - 30-06-2022
Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)In this subproject we will develop techniques to solve equilibrium problems with integer constraints using MIP techniques. To this end, we will consider first mixed-integer linear, then mixed-integer nonlinear problems as subproblems. To solve the resulting problems we will study both complete descriptions as also generalized KKT theorems for mixed-integer nonlinear optimization problems.