Lukas Hümbs

M.Sc. Lukas Hümbs

Department of Mathematics
Chair of Applied Mathematics (Mixed-Integer Linear and Nonlinear Optimization)

Room: Room 03.339
Cauerstraße 11
91058 Erlangen


  • 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.