@techreport{KleinertMannsSchmidtetal.2021, author = {Kleinert, Thomas and Manns, Julian and Schmidt, Martin and Weninger, Dieter}, title = {Presolving Linear Bilevel Optimization Problems}, series = {EURO Journal on Computational Optimization}, journal = {EURO Journal on Computational Optimization}, number = {9}, doi = {10.1016/j.ejco.2021.100020}, url = {https://opus4.kobv.de/opus4-trr154/380}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Kleinert2021, author = {Kleinert, Thomas}, title = {Algorithms for Mixed-Integer Bilevel Problems with Convex Followers}, url = {https://opus4.kobv.de/opus4-trr154/383}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KleinertLabbeLjubićetal.2021, author = {Kleinert, Thomas and Labb{\´e}, Martine and Ljubić, Ivana and Schmidt, Martin}, title = {A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization}, series = {EURO Journal on Computational Optimization}, journal = {EURO Journal on Computational Optimization}, url = {https://opus4.kobv.de/opus4-trr154/361}, pages = {47}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KleinertLabbeSchmidtetal.2020, author = {Kleinert, Thomas and Labb{\´e}, Martine and Schmidt, Martin and Plein, Fr{\"a}nk}, title = {Closing the Gap in Linear Bilevel Optimization: A New Valid Primal-Dual Inequality}, series = {Optimization Letters}, journal = {Optimization Letters}, number = {15}, url = {https://opus4.kobv.de/opus4-trr154/315}, pages = {1027 -- 1040}, year = {2020}, language = {de}, type = {Preprint}, institution = {TRR 154} } @techreport{BoettgerGrimmKleinertetal.2020, author = {B{\"o}ttger, Tom and Grimm, Veronika and Kleinert, Thomas and Schmidt, Martin}, title = {The Cost of Decoupling Trade and Transport in the European Entry-Exit Gas Market with Linear Physics Modeling}, series = {European Journal of Operational Research}, journal = {European Journal of Operational Research}, url = {https://opus4.kobv.de/opus4-trr154/316}, pages = {27}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KleinertSchmidt2020, author = {Kleinert, Thomas and Schmidt, Martin}, title = {Why there is no need to use a big-M in linear bilevel optimization: A computational study of two ready-to-use approaches}, url = {https://opus4.kobv.de/opus4-trr154/343}, pages = {8}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HeitschHenrionKleinertetal.2021, author = {Heitsch, Holger and Henrion, Ren{\´e} and Kleinert, Thomas and Schmidt, Martin}, title = {On Convex Lower-Level Black-Box Constraints in Bilevel Optimization with an Application to Gas Market Models with Chance Constraints}, url = {https://opus4.kobv.de/opus4-trr154/371}, pages = {34}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KleinertGrimmSchmidt2019, author = {Kleinert, Thomas and Grimm, Veronika and Schmidt, Martin}, title = {Outer Approximation for Global Optimization of Mixed-Integer Quadratic Bilevel Problems}, series = {Mathematical Programming (Series B)}, journal = {Mathematical Programming (Series B)}, url = {https://opus4.kobv.de/opus4-trr154/302}, pages = {28}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GrimmKleinertLiersetal.2017, author = {Grimm, Veronika and Kleinert, Thomas and Liers, Frauke and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {Optimal Price Zones of Electricity Markets: A Mixed-Integer Multilevel Model and Global Solution Approaches}, series = {Optimization Methods and Software}, journal = {Optimization Methods and Software}, number = {34(2)}, url = {https://opus4.kobv.de/opus4-trr154/126}, pages = {406 -- 436}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AmbrosiusGrimmKleinertetal.2018, author = {Ambrosius, Mirjam and Grimm, Veronika and Kleinert, Thomas and Liers, Frauke and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning}, series = {Energy Economics}, journal = {Energy Economics}, number = {92}, url = {https://opus4.kobv.de/opus4-trr154/243}, pages = {47}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{EgererGrimmKleinertetal.2019, author = {Egerer, Jonas and Grimm, Veronika and Kleinert, Thomas and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {The Impact of Neighboring Markets on Renewable Locations, Transmission Expansion, and Generation Investment}, series = {European Journal of Operational Research}, journal = {European Journal of Operational Research}, url = {https://opus4.kobv.de/opus4-trr154/289}, pages = {35}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KleinertSchmidt2019, author = {Kleinert, Thomas and Schmidt, Martin}, title = {Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method}, series = {INFORMS Journal on Computing}, journal = {INFORMS Journal on Computing}, number = {33 (1)}, doi = {10.1287/ijoc.2019.0945}, url = {https://opus4.kobv.de/opus4-trr154/256}, pages = {198 -- 215}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GruebelKleinertKrebsetal.2019, author = {Gr{\"u}bel, Julia and Kleinert, Thomas and Krebs, Vanessa and Orlinskaya, Galina and Schewe, Lars and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {On Electricity Market Equilibria with Storage: Modeling, Uniqueness, and a Distributed ADMM}, series = {Computers \& Operations Research}, journal = {Computers \& Operations Research}, number = {114}, doi = {10.1016/j.cor.2019.104783}, url = {https://opus4.kobv.de/opus4-trr154/257}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KleinertLabbePleinetal.2019, author = {Kleinert, Thomas and Labb{\´e}, Martine and Plein, Fr{\"a}nk and Schmidt, Martin}, title = {There's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization}, series = {Operations Research}, journal = {Operations Research}, number = {68(6)}, url = {https://opus4.kobv.de/opus4-trr154/264}, pages = {1716 -- 1721}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KleinertSchmidt2018, author = {Kleinert, Thomas and Schmidt, Martin}, title = {Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning}, series = {Discrete Optimization}, journal = {Discrete Optimization}, number = {33}, url = {https://opus4.kobv.de/opus4-trr154/234}, pages = {43 -- 69}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} }