@unpublished{GrossGuptaKumaretal., author = {Groß, Martin and Gupta, Anupam and Kumar, Amit and Matuschke, Jannik and Schmidt, Daniel R. and Schmidt, Melanie and Verschae, Jos{\´e}}, title = {A Local-Search Algorithm for Steiner Forest}, url = {https://opus4.kobv.de/opus4-trr154/155}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringMartinetal.2017, author = {Gugat, Martin and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias and Wintergerst, David}, title = {MIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems}, series = {Computational Optimization and Applications}, volume = {70}, journal = {Computational Optimization and Applications}, number = {1}, doi = {10.1007/s10589-017-9970-1}, url = {https://opus4.kobv.de/opus4-trr154/140}, pages = {267 -- 294}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GrossMarcEScheweetal.2019, author = {Groß, Martin and Marc E., Pfetsch and Schewe, Lars and Schmidt, Martin and Skutella, Martin}, title = {Algorithmic Results for Potential-Based Flows: Easy and Hard Cases}, volume = {73}, number = {3}, edition = {Networks}, doi = {10.1002/net.21865}, url = {https://opus4.kobv.de/opus4-trr154/153}, pages = {303 -- 324}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GrimmMartinSchmidtetal.2016, author = {Grimm, Veronika and Martin, Alexander and Schmidt, Martin and Weibelzahl, Martin and Z{\"o}ttl, Gregor}, title = {Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes}, series = {European Journal of Operational Research}, volume = {254}, journal = {European Journal of Operational Research}, number = {2}, doi = {10.1016/j.ejor.2016.03.044}, url = {https://opus4.kobv.de/opus4-trr154/109}, pages = {493 -- 509}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringMartinetal.2018, author = {Gugat, Martin and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias and Wintergerst, David}, title = {Towards Simulation Based Mixed-Integer Optimization with Differential Equations}, series = {Networks}, journal = {Networks}, doi = {10.1002/net.21812}, url = {https://opus4.kobv.de/opus4-trr154/63}, pages = {24}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrugLeugeringMartinetal.2021, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions}, series = {Control and Cybernetics}, journal = {Control and Cybernetics}, url = {https://opus4.kobv.de/opus4-trr154/399}, pages = {20}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrugLeugeringMartinetal.2020, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems}, series = {SIAM Journal on Control and Optimization}, journal = {SIAM Journal on Control and Optimization}, url = {https://opus4.kobv.de/opus4-trr154/359}, pages = {28}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchmidtHillerKochetal.2019, author = {Schmidt, Martin and Hiller, Benjamin and Koch, Thorsten and Pfetsch, Marc and Geißler, Bj{\"o}rn and Henrion, Ren{\´e} and Joormann, Imke and Martin, Alexander and Morsi, Antonio and R{\"o}misch, Werner and Schewe, Lars and Schultz, R{\"u}diger and Steinbach, Marc C.}, title = {Capacity Evaluation for Large-Scale Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/285}, pages = {8}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GatzertMartinSchmidtetal.2019, author = {Gatzert, Nadine and Martin, Alexander and Schmidt, Martin and Seith, Benjamin and Vogl, Nikolai}, title = {Portfolio Optimization with Irreversible Long-Term Investments in Renewable Energy under Policy Risk: A Mixed-Integer Multistage Stochastic Model and a Moving-Horizon Approach}, series = {European Journal of Operational Research}, journal = {European Journal of Operational Research}, url = {https://opus4.kobv.de/opus4-trr154/273}, pages = {29}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{RobiniusScheweSchmidtetal.2018, author = {Robinius, Martin and Schewe, Lars and Schmidt, Martin and Stolten, Detlef and Th{\"u}rauf, Johannes and Welder, Lara}, title = {Robust Optimal Discrete Arc Sizing for Tree-Shaped Potential Networks}, series = {Computational Optimization and Applications}, journal = {Computational Optimization and Applications}, number = {73(3)}, doi = {10.1007/s10589-019-00085-x}, url = {https://opus4.kobv.de/opus4-trr154/233}, pages = {791 -- 819}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{DomschkeGrossHilleretal.2015, author = {Domschke, Pia and Groß, Martin and Hiller, Benjamin and Hante, Falk and Schewe, Lars and Schmidt, Martin}, title = {Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken}, series = {gwf-gas/erdgas}, volume = {11}, journal = {gwf-gas/erdgas}, url = {https://opus4.kobv.de/opus4-trr154/102}, pages = {880 -- 885}, year = {2015}, language = {de}, type = {Preprint}, institution = {TRR 154} } @techreport{HanteLeugeringMartinetal.2016, author = {Hante, Falk and Leugering, G{\"u}nter and Martin, Alexander and Schewe, Lars and Schmidt, Martin}, title = {Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: From modeling to industrial applications}, url = {https://opus4.kobv.de/opus4-trr154/121}, pages = {40}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LeugeringMartinSchmidtetal.2017, author = {Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias}, title = {Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks}, volume = {46}, number = {3}, publisher = {Control and Cybernetics}, url = {https://opus4.kobv.de/opus4-trr154/202}, pages = {191 -- 225}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ReussWelderThueraufetal.2019, author = {Reuß, Markus and Welder, Lara and Th{\"u}rauf, Johannes and Linßen, Jochen and Grube, Thomas and Schewe, Lars and Schmidt, Martin and Stolten, Detlef and Robinius, Martin}, title = {Modeling Hydrogen Networks for Future Energy Systems: A Comparison of Linear and Nonlinear Approaches}, series = {International Journal of Hydrogen Energy}, journal = {International Journal of Hydrogen Energy}, doi = {10.1016/j.ijhydene.2019.10.080}, url = {https://opus4.kobv.de/opus4-trr154/453}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerSchaumannvonLoeperetal., author = {Aigner, Kevin-Martin and Schaumann, Peter and von Loeper, Freimut and Martin, Alexander and Schmidt, Volker and Liers, Frauke}, title = {Robust DC Optimal Power Flow with Modeling of Solar Power Supply Uncertainty via R-Vine Copulas}, url = {https://opus4.kobv.de/opus4-trr154/480}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KrugLeugeringMartinetal.2022, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems}, url = {https://opus4.kobv.de/opus4-trr154/503}, pages = {26}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{PfetschSchmidtSkutellaetal.2026, author = {Pfetsch, Marc and Schmidt, Martin and Skutella, Martin and Th{\"u}rauf, Johannes}, title = {Potential-Based Flows - An Overview}, series = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, booktitle = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, publisher = {Springer-Nature}, url = {https://opus4.kobv.de/opus4-trr154/614}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GruebelHuberHuembsetal.2021, author = {Gr{\"u}bel, Julia and Huber, Olivier and H{\"u}mbs, Lukas and Klimm, Max and Schmidt, Martin and Schwartz, Alexandra}, title = {Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to Determine the Existence of an Equilibrium}, url = {https://opus4.kobv.de/opus4-trr154/389}, pages = {29}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @misc{BeckSchmidt2021, author = {Beck, Yasmine and Schmidt, Martin}, title = {A Gentle and Incomplete Introduction to Bilevel Optimization}, url = {https://opus4.kobv.de/opus4-trr154/392}, pages = {104}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DeSantisdeVriesSchmidtetal.2021, author = {De Santis, Marianna and de Vries, Sven and Schmidt, Martin and Winkel, Lukas}, title = {A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems}, url = {https://opus4.kobv.de/opus4-trr154/394}, pages = {24}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @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} } @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} } @unpublished{HanteKrugSchmidt2021, author = {Hante, Falk and Krug, Richard and Schmidt, Martin}, title = {Time-Domain Decomposition for Mixed-Integer Optimal Control Problems}, url = {https://opus4.kobv.de/opus4-trr154/412}, pages = {32}, 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{GrimmNowakScheweetal.2020, author = {Grimm, Veronika and Nowak, Daniel and Schewe, Lars and Schmidt, Martin and Schwartz, Alexandra and Z{\"o}ttl, Gregor}, title = {A Tractable Multi-Leader Multi-Follower Peak-Load-Pricing Model with Strategic Interaction}, doi = {10.1007/s10107-021-01708-0}, url = {https://opus4.kobv.de/opus4-trr154/317}, pages = {35}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BiefelLiersRolfesetal.2020, author = {Biefel, Christian and Liers, Frauke and Rolfes, Jan and Schmidt, Martin}, title = {Affinely Adjustable Robust Linear Complementarity Problems}, url = {https://opus4.kobv.de/opus4-trr154/319}, pages = {20}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ScheweSchmidtThuerauf, author = {Schewe, Lars and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Global Optimization for the Multilevel European Gas Market System with Nonlinear Flow Models on Trees}, series = {Journal of Global Optimization}, journal = {Journal of Global Optimization}, doi = {10.1007/s10898-021-01099-8}, url = {https://opus4.kobv.de/opus4-trr154/322}, 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{GabrielLealSchmidt2020, author = {Gabriel, Steven A. and Leal, Marina and Schmidt, Martin}, title = {On Linear Bilevel Optimization Problems with Complementarity-Constrained Lower Levels}, url = {https://opus4.kobv.de/opus4-trr154/344}, pages = {16}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BeckSchmidt2021, author = {Beck, Yasmine and Schmidt, Martin}, title = {A Robust Approach for Modeling Limited Observability in Bilevel Optimization}, series = {Operations Research Letters}, journal = {Operations Research Letters}, number = {49(5)}, url = {https://opus4.kobv.de/opus4-trr154/363}, pages = {752 -- 758}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{PleinThueraufLabbeetal.2021, author = {Plein, Fr{\"a}nk and Th{\"u}rauf, Johannes and Labb{\´e}, Martine and Schmidt, Martin}, title = {A Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market}, series = {Mathematical Methods of Operations Research}, journal = {Mathematical Methods of Operations Research}, doi = {10.1007/s00186-021-00752-y}, url = {https://opus4.kobv.de/opus4-trr154/364}, pages = {37}, year = {2021}, 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{GrimmScheweSchmidtetal.2017, author = {Grimm, Veronika and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {A Multilevel Model of the European Entry-Exit Gas Market}, series = {Mathematical Methods of Operations Research}, journal = {Mathematical Methods of Operations Research}, number = {89(2)}, url = {https://opus4.kobv.de/opus4-trr154/134}, pages = {223 -- 255}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KramerKrebsSchmidt2018, author = {Kramer, Anja and Krebs, Vanessa and Schmidt, Martin}, title = {Strictly and Γ-Robust Counterparts of Electricity Market Models: Perfect Competition and Nash-Cournot Equilibria}, series = {Operations Research Perspectives}, journal = {Operations Research Perspectives}, number = {89(2)}, url = {https://opus4.kobv.de/opus4-trr154/238}, pages = {100197}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HojnyJoormannLuethenetal.2018, author = {Hojny, Christopher and Joormann, Imke and L{\"u}then, Hendrik and Schmidt, Martin}, title = {Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem}, series = {Mathematical Programming Computation}, journal = {Mathematical Programming Computation}, url = {https://opus4.kobv.de/opus4-trr154/239}, pages = {45}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ScheweSchmidtThuerauf2018, author = {Schewe, Lars and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System}, series = {4OR}, journal = {4OR}, number = {18}, doi = {10.1007/s10288-019-00411-3}, url = {https://opus4.kobv.de/opus4-trr154/242}, pages = {197 -- 218}, year = {2018}, 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{HanteSchmidt2018, author = {Hante, Falk M. and Schmidt, Martin}, title = {Convergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations}, series = {Control and Cybernetics}, journal = {Control and Cybernetics}, url = {https://opus4.kobv.de/opus4-trr154/244}, pages = {16}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LabbePleinSchmidt2018, author = {Labb{\´e}, Martine and Plein, Fr{\"a}nk and Schmidt, Martin}, title = {Bookings in the European Gas Market: Characterisation of Feasibility and Computational Complexity Results}, series = {Optimization and Engineering}, journal = {Optimization and Engineering}, number = {21(1)}, url = {https://opus4.kobv.de/opus4-trr154/245}, pages = {305 -- 334}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrebsSchmidt2019, author = {Krebs, Vanessa and Schmidt, Martin}, title = {Γ-Robust Linear Complementarity Problems}, series = {Optimization Methods and Software}, journal = {Optimization Methods and Software}, url = {https://opus4.kobv.de/opus4-trr154/255}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrugMehrmannSchmidt2019, author = {Krug, Richard and Mehrmann, Volker and Schmidt, Martin}, title = {Nonlinear Optimization of District Heating Networks}, series = {Optimization and Engineering}, journal = {Optimization and Engineering}, number = {22(2)}, url = {https://opus4.kobv.de/opus4-trr154/283}, pages = {783 -- 819}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KrebsMuellerSchmidt2019, author = {Krebs, Vanessa and M{\"u}ller, Michael and Schmidt, Martin}, title = {Γ-Robust Linear Complementarity Problems with Ellipsoidal Uncertainty Sets}, series = {International Transactions in Operational Research}, journal = {International Transactions in Operational Research}, number = {29(1)}, url = {https://opus4.kobv.de/opus4-trr154/284}, pages = {417 -- 441}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LabbePleinSchmidtetal.2019, author = {Labb{\´e}, Martine and Plein, Fr{\"a}nk and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Deciding Feasibility of a Booking in the European Gas Market on a Cycle is in P for the Case of Passive Networks}, series = {Networks}, volume = {78}, journal = {Networks}, number = {2}, doi = {10.1007/s00186-021-00752-y}, url = {https://opus4.kobv.de/opus4-trr154/286}, pages = {128 -- 152}, year = {2019}, 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{ScheweSchmidtThuerauf2020, author = {Schewe, Lars and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Computing Technical Capacities in the European Entry-Exit Gas Market is NP-Hard}, series = {Annals of Operations Research}, journal = {Annals of Operations Research}, number = {295}, doi = {10.1007/s10479-020-03725-2}, url = {https://opus4.kobv.de/opus4-trr154/304}, pages = {337 -- 362}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{CelebiKrebsSchmidt0202, author = {{\c{C}}elebi, Emre and Krebs, Vanessa and Schmidt, Martin}, title = {Γ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments}, series = {Energy Systems}, journal = {Energy Systems}, url = {https://opus4.kobv.de/opus4-trr154/305}, pages = {20}, year = {0202}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GabrielLealSchmidt2020, author = {Gabriel, Steven A. and Leal, Marina and Schmidt, Martin}, title = {Solving Binary-Constrained Mixed Complementarity Problems Using Continuous Reformulations}, series = {Computers \& Operations Research}, journal = {Computers \& Operations Research}, url = {https://opus4.kobv.de/opus4-trr154/308}, pages = {24}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{RolandSchmidt2020, author = {Roland, Marius and Schmidt, Martin}, title = {Mixed-Integer Nonlinear Optimization for District Heating Network Expansion}, series = {at - Automatisierungstechnik}, journal = {at - Automatisierungstechnik}, url = {https://opus4.kobv.de/opus4-trr154/310}, pages = {22}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GrimmGruebelScheweetal.2017, author = {Grimm, Veronika and Gr{\"u}bel, Julia and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches}, series = {European Journal on Operational Research}, journal = {European Journal on Operational Research}, number = {273(3)}, url = {https://opus4.kobv.de/opus4-trr154/220}, pages = {1097 -- 1108}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrebsSchmidt2017, author = {Krebs, Vanessa and Schmidt, Martin}, title = {Uniqueness of Market Equilibria on Networks with Transport Costs}, series = {Operations Research Perspectives}, journal = {Operations Research Perspectives}, number = {5}, url = {https://opus4.kobv.de/opus4-trr154/222}, pages = {169 -- 173}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{MehrmannSchmidtStolwijk2017, author = {Mehrmann, Volker and Schmidt, Martin and Stolwijk, Jeroen J.}, title = {Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization}, series = {Vietnam Journal of Mathematics}, journal = {Vietnam Journal of Mathematics}, number = {46(4)}, url = {https://opus4.kobv.de/opus4-trr154/224}, pages = {779 -- 801}, year = {2017}, 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{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} }