@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{https://opus4.kobv.de/opus4-trr154/257}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ScheweSchmidtWeninger2019, author = {Schewe, Lars and Schmidt, Martin and Weninger, Dieter}, title = {A Decomposition Heuristic for Mixed-Integer Supply Chain Problems}, series = {Operations Research Letters}, journal = {Operations Research Letters}, number = {48(3)}, url = {https://opus4.kobv.de/opus4-trr154/258}, pages = {225 -- 232}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KleinertLabbePleinetal.2019, author = {Kleinert, Thomas and Labb{\´e}, Martine and Plein, Fr{\"a}nk and Schmidt, Martin}, title = {There's No Free Lunch: On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{GrimmOrlinskayaScheweetal.2019, author = {Grimm, Veronika and Orlinskaya, Galina and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {Optimal Design of Retailer-Prosumer Electricity Tariffs Using Bilevel Optimization}, series = {Computers \& Operations Research}, journal = {Computers \& Operations Research}, number = {114}, url = {https://opus4.kobv.de/opus4-trr154/274}, pages = {33}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HauschildMarheinekeMehrmannetal.2019, author = {Hauschild, Sarah-Alexa and Marheineke, Nicole and Mehrmann, Volker and Mohring, Jan and Badlyan, Arbi Moses and Rein, Markus and Schmidt, Martin}, title = {Port-Hamiltonian modeling of district heating networks}, series = {Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Sch{\"o}ps S). Differential-Algebraic Equations Forum}, journal = {Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Sch{\"o}ps S). Differential-Algebraic Equations Forum}, url = {https://opus4.kobv.de/opus4-trr154/275}, pages = {17}, 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} } @techreport{SchmidtSirventWollner2018, author = {Schmidt, Martin and Sirvent, Mathias and Wollner, Winnifried}, title = {The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities}, series = {Optimization Letters}, journal = {Optimization Letters}, url = {https://opus4.kobv.de/opus4-trr154/235}, pages = {16}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ScheweSchmidt2018, author = {Schewe, Lars and Schmidt, Martin}, title = {The Impact of Potential-Based Physics Models on Pricing in Energy Networks}, series = {Central European Journal of Operations Research}, journal = {Central European Journal of Operations Research}, number = {28(3)}, url = {https://opus4.kobv.de/opus4-trr154/237}, pages = {1003 -- 1029}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchmidtSirventWollner2017, author = {Schmidt, Martin and Sirvent, Mathias and Wollner, Winnifried}, title = {A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities}, series = {Mathematical Programming}, journal = {Mathematical Programming}, number = {178(1)}, url = {https://opus4.kobv.de/opus4-trr154/145}, pages = {449 -- 483}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchmidtAssmannBurlacuetal.2017, author = {Schmidt, Martin and Aßmann, Denis and Burlacu, Robert and Humpola, Jesco and Joormann, Imke and Kanelakis, Nikolaos and Koch, Thorsten and Oucherif, Djamal and Pfetsch, Marc E. and Schewe, Lars and Schwarz, Robert and Sirvent, Mathias}, title = {GasLib - A Library of Gas Network Instances}, series = {Data}, volume = {4}, journal = {Data}, number = {2}, doi = {10.3390/data2040040}, url = {https://opus4.kobv.de/opus4-trr154/168}, pages = {18}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HanteSchmidt2017, author = {Hante, Falk and Schmidt, Martin}, title = {Complementarity-Based Nonlinear Programming Techniques for Optimal Mixing in Gas Networks}, series = {EURO Journal on Computational Optimization}, journal = {EURO Journal on Computational Optimization}, number = {7(3)}, url = {https://opus4.kobv.de/opus4-trr154/169}, pages = {299 -- 323}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrebsScheweSchmidt2017, author = {Krebs, Vanessa and Schewe, Lars and Schmidt, Martin}, title = {Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks}, series = {European Journal on Operations Research}, journal = {European Journal on Operations Research}, number = {271(1)}, url = {https://opus4.kobv.de/opus4-trr154/176}, pages = {165 -- 178}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ScheweSchmidt2016, author = {Schewe, Lars and Schmidt, Martin}, title = {Computing Feasible Points for Binary MINLPs with MPECs}, series = {Mathematical Programming Computation}, journal = {Mathematical Programming Computation}, number = {11(1)}, url = {https://opus4.kobv.de/opus4-trr154/122}, pages = {95 -- 118}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeisslerMorsiScheweetal.2016, author = {Geißler, Bj{\"o}rn and Morsi, Antonio and Schewe, Lars and Schmidt, Martin}, title = {Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods}, series = {INFORMS Journal on Computing}, journal = {INFORMS Journal on Computing}, number = {30(2)}, url = {https://opus4.kobv.de/opus4-trr154/106}, pages = {309 -- 323}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeisslerMorsiScheweetal.2017, author = {Geißler, Bj{\"o}rn and Morsi, Antonio and Schewe, Lars and Schmidt, Martin}, title = {Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps}, series = {SIAM Journal on Optimization}, volume = {27}, journal = {SIAM Journal on Optimization}, number = {3}, doi = {10.1137/16M1069687}, url = {https://opus4.kobv.de/opus4-trr154/107}, pages = {1611 -- 1636}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GrimmScheweSchmidtetal.2017, author = {Grimm, Veronika and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {Uniqueness of Market Equilibrium on a Network: A Peak-Load Pricing Approach}, series = {European Journal of Operational Research}, volume = {261}, journal = {European Journal of Operational Research}, number = {3}, doi = {10.1016/j.ejor.2017.03.036}, url = {https://opus4.kobv.de/opus4-trr154/110}, pages = {971 -- 983}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeisslerMorsiScheweetal., author = {Geißler, Bj{\"o}rn and Morsi, Antonio and Schewe, Lars and Schmidt, Martin}, title = {Solving Power-Constrained Gas Transportation Problems using an MIP-based Alternating Direction Method}, series = {Computers \& Chemical Engineering}, volume = {82}, journal = {Computers \& Chemical Engineering}, number = {2}, doi = {10.1016/j.compchemeng.2015.07.005}, url = {https://opus4.kobv.de/opus4-trr154/68}, pages = {303 -- 317}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoerigkKurtzSchmidtetal.2023, author = {Goerigk, Marc and Kurtz, Jannis and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Connections between Robust and Bilevel Optimization}, url = {https://opus4.kobv.de/opus4-trr154/522}, pages = {22}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GrimmGruebelSchmidtetal.2023, author = {Grimm, Veronika and Gr{\"u}bel, Julia and Schmidt, Martin and Schwartz, Alexandra and Wiertz, Ann-Kathrin and Z{\"o}ttl, Gregor}, title = {On a Tractable Single-Level Reformulation of a Multilevel Model of the European Entry-Exit Gas Market with Market Power}, url = {https://opus4.kobv.de/opus4-trr154/527}, pages = {31}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2022, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {A Survey on Bilevel Optimization Under Uncertainty}, url = {https://opus4.kobv.de/opus4-trr154/491}, pages = {57}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{MolanSchmidt2022, author = {Molan, Ioana and Schmidt, Martin}, title = {Using Neural Networks to Solve Linear Bilevel Problems with Unknown Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/495}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HorlaenderSchmidt2022, author = {Horl{\"a}nder, Andreas and Schmidt, Martin}, title = {A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems}, url = {https://opus4.kobv.de/opus4-trr154/497}, pages = {9}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GruebelKrugSchmidtetal.2022, author = {Gr{\"u}bel, Julia and Krug, Richard and Schmidt, Martin and Wollner, Winnifried}, title = {A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities}, url = {https://opus4.kobv.de/opus4-trr154/498}, pages = {34}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GrimmHintermuellerHuberetal., author = {Grimm, Veronika and Hinterm{\"u}ller, Michael and Huber, Olivier and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport}, url = {https://opus4.kobv.de/opus4-trr154/458}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{CattaruzzaLabbePetrisetal.2021, author = {Cattaruzza, Diego and Labb{\´e}, Martine and Petris, Matteo and Roland, Marius and Schmidt, Martin}, title = {Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems}, url = {https://opus4.kobv.de/opus4-trr154/467}, pages = {35}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2021, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {Exact Methods for Discrete Γ-Robust Interdiction Problems with an Application to the Bilevel Knapsack Problem}, url = {https://opus4.kobv.de/opus4-trr154/471}, pages = {39}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ThueraufGruebelSchmidt2024, author = {Th{\"u}rauf, Johannes and Gr{\"u}bel, Julia and Schmidt, Martin}, title = {Adjustable Robust Nonlinear Network Design under Demand Uncertainties}, url = {https://opus4.kobv.de/opus4-trr154/550}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HannesVolkerRolandetal.2022, author = {Hannes, D{\"a}nschel and Volker, Mehrmann and Roland, Marius and Schmidt, Martin}, title = {Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs}, url = {https://opus4.kobv.de/opus4-trr154/483}, pages = {29}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckSchmidtThueraufetal.2022, author = {Beck, Yasmine and Schmidt, Martin and Th{\"u}rauf, Johannes and Bienstock, Daniel}, title = {On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/484}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchmidtThuerauf2022, author = {Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {An Exact Method for Nonlinear Network Flow Interdiction Problems}, url = {https://opus4.kobv.de/opus4-trr154/502}, pages = {28}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: PDE-Constrained Models}, url = {https://opus4.kobv.de/opus4-trr154/504}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: Mixed-Integer Nonlinear Models}, url = {https://opus4.kobv.de/opus4-trr154/505}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidtTopalovic2024, author = {Hante, Falk M. and Schmidt, Martin and Topalovic, Antonia}, title = {Stabilizing GNEP-Based Model Predictive Control: Quasi-GNEPs and End Constraints}, url = {https://opus4.kobv.de/opus4-trr154/555}, pages = {26}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HenrionSchmidt2026, author = {Henrion, Ren{\´e} and Schmidt, Martin}, title = {Chance-Constrained Linear Complementarity Problems}, url = {https://opus4.kobv.de/opus4-trr154/627}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} }