Lukas Hümbs
M.Sc. Lukas Hümbs
Projects
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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.
Publications
2022
Exploiting complete linear descriptions for decentralized power market problems with integralities
In: Mathematical Methods of Operations Research (2022)
ISSN: 1432-2994
DOI: 10.1007/s00186-022-00775-z
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/279
BibTeX: Download
(Techreport)
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2021
Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to Determine the Existence of an Equilibrium
(2021)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/389
BibTeX: Download
(Techreport)
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Computing optimality certificates for convex mixed-integer nonlinear problems
(2021)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/476/
BibTeX: Download
(Techreport)
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