Chapter 9: An MPEC based heuristic. - Martin Schmidt 003; Marc Christian Steinbach; Bernhard M. Willert (Evaluating Gas Network Capacities, 2015)

Chapter 10: The precise NLP model. - Martin Schmidt 003; Marc Christian Steinbach; Bernhard M. Willert (Evaluating Gas Network Capacities, 2015)

Chapter 2: Physical and technical fundamentals of gas networks. - Armin Fügenschuh; Björn Geißler; Ralf Gollmer; Antonio Morsi; Jessica Rövekamp; Martin Schmidt 003; Klaus Spreckelsen; Marc Christian Steinbach; Marc E. Pfetsch (Evaluating Gas Network Capacities, 2015)

Chapter 12: Computational results for validation of nominations. - Jesco Humpola; Thomas Lehmann 003; Ralf Lenz; Antonio Morsi; Martin Schmidt 003; Robert Schwarz; Jonas Schweiger; Claudia Stangl; Bernhard M. Willert; Benjamin Hiller; Marc E. Pfetsch; Lars Schewe (Evaluating Gas Network Capacities, 2015)

Chapter 11: What does "feasible" mean? - Imke Joormann; Martin Schmidt 003; Marc Christian Steinbach; Bernhard M. Willert (Evaluating Gas Network Capacities, 2015)

Solving power-constrained gas transportation problems using an MIP-based alternating direction method. - Björn Geißler; Antonio Morsi; Lars Schewe; Martin Schmidt 003 (Comput. Chem. Eng., 2015)

Validation of nominations in gas network optimization: models, methods, and solutions. - Marc E. Pfetsch; Armin Fügenschuh; Björn Geißler; Nina Geißler; Ralf Gollmer; Benjamin Hiller; Jesco Humpola; Thorsten Koch; Thomas Lehmann 003; Alexander Martin 001; Antonio Morsi; Jessica Rövekamp; et al. (Optim. Methods Softw., 2015)

Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes. - Veronika Grimm; Alexander Martin 001; Martin Schmidt 003; Martin Weibelzahl; Gregor Zöttl (Eur. J. Oper. Res., 2016)

Computational optimization of gas compressor stations: MINLP models versus continuous reformulations. - Daniel Rose; Martin Schmidt 003; Marc Christian Steinbach; Bernhard M. Willert (Math. Methods Oper. Res., 2016)

GasLib - A Library of Gas Network Instances. - Martin Schmidt 003; Denis Aßmann; Robert Burlacu; Jesco Humpola; Imke Joormann; Nikolaos Kanelakis; Thorsten Koch; Djamal Oucherif; Marc E. Pfetsch; Lars Schewe; Robert Schwarz; Mathias Sirvent (Data, 2017)

Uniqueness of market equilibrium on a network: A peak-load pricing approach. - Veronika Grimm; Lars Schewe; Martin Schmidt 003; Gregor Zöttl (Eur. J. Oper. Res., 2017)

A Distributed Interior-Point KKT Solver for Multistage Stochastic Optimization. - Jens Hübner; Martin Schmidt 003; Marc Christian Steinbach (INFORMS J. Comput., 2017)

Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps. - Björn Geißler; Antonio Morsi; Lars Schewe; Martin Schmidt 003 (SIAM J. Optim., 2017)

MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. - Martin Gugat; Günter Leugering; Alexander Martin 001; Martin Schmidt 003; Mathias Sirvent; David Wintergerst (Comput. Optim. Appl., 2018)

Uniqueness and multiplicity of market equilibria on DC power flow networks. - Vanessa Krebs; Lars Schewe; Martin Schmidt 003 (Eur. J. Oper. Res., 2018)

Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods. - Björn Geißler; Antonio Morsi; Lars Schewe; Martin Schmidt 003 (INFORMS J. Comput., 2018)

Towards simulation based mixed-integer optimization with differential equations. - Martin Gugat; Günter Leugering; Alexander Martin 001; Martin Schmidt 003; Mathias Sirvent; David Wintergerst (Networks, 2018)

Optimierung von Versorgungsnetzen: Mathematische Modellierung und Lösungstechniken - Lars Schewe; Martin Schmidt 003 (Springer, 2019)

Robust optimal discrete arc sizing for tree-shaped potential networks. - Martin Robinius; Lars Schewe; Martin Schmidt 003; Detlef Stolten; Johannes Thürauf; Lara Welder (Comput. Optim. Appl., 2019)

Global optimization of multilevel electricity market models including network design and graph partitioning. - Thomas Kleinert; Martin Schmidt 003 (Discret. Optim., 2019)

Complementarity-based nonlinear programming techniques for optimal mixing in gas networks. - Falk M. Hante; Martin Schmidt 003 (EURO J. Comput. Optim., 2019)

Nonconvex equilibrium models for gas market analysis: Failure of standard techniques and alternative modeling approaches. - Veronika Grimm; Julia Grübel; Lars Schewe; Martin Schmidt 003; Gregor Zöttl (Eur. J. Oper. Res., 2019)

A multilevel model of the European entry-exit gas market. - Veronika Grimm; Lars Schewe; Martin Schmidt 003; Gregor Zöttl (Math. Methods Oper. Res., 2019)

A decomposition method for MINLPs with Lipschitz continuous nonlinearities. - Martin Schmidt 003; Mathias Sirvent; Winnifried Wollner (Math. Program., 2019)

Computing feasible points for binary MINLPs with MPECs. - Lars Schewe; Martin Schmidt 003 (Math. Program. Comput., 2019)

Algorithmic results for potential-based flows: Easy and hard cases. - Martin Groß 001; Marc E. Pfetsch; Lars Schewe; Martin Schmidt 003; Martin Skutella (Networks, 2019)

Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches. - Veronika Grimm; Thomas Kleinert; Frauke Liers; Martin Schmidt 003; Gregor Zöttl (Optim. Methods Softw., 2019)

Structural properties of feasible bookings in the European entry-exit gas market system. - Lars Schewe; Martin Schmidt 003; Johannes Thürauf (4OR, 2020)

Computing technical capacities in the European entry-exit gas market is NP-hard. - Lars Schewe; Martin Schmidt 003; Johannes Thürauf (Ann. Oper. Res., 2020)

Mixed-integer nonlinear optimization for district heating network expansion. - Marius Roland; Martin Schmidt 003 (Autom., 2020)

The impact of potential-based physics models on pricing in energy networks. - Lars Schewe; Martin Schmidt 003 (Central Eur. J. Oper. Res., 2020)

Optimization techniques for tree-structured nonlinear problems. - Jens Hübner; Martin Schmidt 003; Marc Christian Steinbach (Comput. Manag. Sci., 2020)

On electricity market equilibria with storage: Modeling, uniqueness, and a distributed ADMM. - Julia Grübel; Thomas Kleinert; Vanessa Krebs; Galina Orlinskaya; Lars Schewe; Martin Schmidt 003; Johannes Thürauf (Comput. Oper. Res., 2020)

Technical Note - There's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization. - Thomas Kleinert; Martine Labbé; Fränk Plein; Martin Schmidt 003 (Oper. Res., 2020)

A decomposition heuristic for mixed-integer supply chain problems. - Lars Schewe; Martin Schmidt 003; Dieter Weninger (Oper. Res. Lett., 2020)

Solving binary-constrained mixed complementarity problems using continuous reformulations. - Steven A. Gabriel; Marina Leal; Martin Schmidt 003 (Comput. Oper. Res., 2021)

A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization. - Thomas Kleinert; Martine Labbé; Ivana Ljubic; Martin Schmidt 003 (EURO J. Comput. Optim., 2021)

Presolving linear bilevel optimization problems. - Thomas Kleinert; Julian Manns; Martin Schmidt 003; Dieter Weninger (EURO J. Comput. Optim., 2021)

The impact of neighboring markets on renewable locations, transmission expansion, and generation investment. - Jonas Egerer; Veronika Grimm; Thomas Kleinert; Martin Schmidt 003; Gregor Zöttl (Eur. J. Oper. Res., 2021)

Portfolio optimization with irreversible long-term investments in renewable energy under policy risk: A mixed-integer multistage stochastic model and a moving-horizon approach. - Nadine Gatzert; Alexander Martin 001; Martin Schmidt 003; Benjamin Seith; Nikolai Vogl (Eur. J. Oper. Res., 2021)

Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method. - Thomas Kleinert; Martin Schmidt 003 (INFORMS J. Comput., 2021)

Outer approximation for global optimization of mixed-integer quadratic bilevel problems. - Thomas Kleinert; Veronika Grimm; Martin Schmidt 003 (Math. Program., 2021)

Mixed-integer programming techniques for the connected max-k-cut problem. - Christopher Hojny; Imke Joormann; Hendrik Lüthen; Martin Schmidt 003 (Math. Program. Comput., 2021)

Deciding feasibility of a booking in the European gas market on a cycle is in P for the case of passive networks. - Martine Labbé; Fränk Plein; Martin Schmidt 003; Johannes Thürauf (Networks, 2021)

Closing the gap in linear bilevel optimization: a new valid primal-dual inequality. - Thomas Kleinert; Martine Labbé; Fränk Plein; Martin Schmidt 003 (Optim. Lett., 2021)

A robust approach for modeling limited observability in bilevel optimization. - Yasmine Beck; Martin Schmidt 003 (Oper. Res. Lett., 2021)

Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems. - Richard Krug; Günter Leugering; Alexander Martin 001; Martin Schmidt 003; Dieter Weninger (SIAM J. Control. Optim., 2021)

Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems. - Filippo Fabiani; Barbara Franci; Simone Sagratella; Martin Schmidt 003; Mathias Staudigl (CDC, 2022)

A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part I: Key Ideas and a Fixed Parameter Setting. - Andreas Horländer; Martin Schmidt 003 (OR, 2022)

A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results. - Andreas Horländer; Martin Schmidt 003 (OR, 2022)

The cost of decoupling trade and transport in the European entry-exit gas market with linear physics modeling. - T. Böttger; Veronika Grimm; Thomas Kleinert; Martin Schmidt 003 (Eur. J. Oper. Res., 2022)

An Alternating Method for Cardinality-Constrained Optimization: A Computational Study for the Best Subset Selection and Sparse Portfolio Problems. - Carina Moreira Costa; Dennis Kreber; Martin Schmidt 003 (INFORMS J. Comput., 2022)

A Penalty Branch-and-Bound Method for Mixed Binary Linear Complementarity Problems. - Marianna De Santis; Sven de Vries; Martin Schmidt 003; Lukas Winkel (INFORMS J. Comput., 2022)

Γ-robust linear complementarity problems with ellipsoidal uncertainty sets. - Vanessa Krebs; Michael Müller 004; Martin Schmidt 003 (Int. Trans. Oper. Res., 2022)

On convex lower-level black-box constraints in bilevel optimization with an application to gas market models with chance constraints. - Holger Heitsch; René Henrion; Thomas Kleinert; Martin Schmidt 003 (J. Glob. Optim., 2022)

Global optimization for the multilevel European gas market system with nonlinear flow models on trees. - Lars Schewe; Martin Schmidt 003; Johannes Thürauf (J. Glob. Optim., 2022)

On linear bilevel optimization problems with complementarity-constrained lower levels. - Steven A. Gabriel; Marina Leal; Martin Schmidt 003 (J. Oper. Res. Soc., 2022)

A bilevel optimization approach to decide the feasibility of bookings in the European gas market. - Fränk Plein; Johannes Thürauf; Martine Labbé; Martin Schmidt 003 (Math. Methods Oper. Res., 2022)

A tractable multi-leader multi-follower peak-load-pricing model with strategic interaction. - Veronika Grimm; Daniel Nowak; Lars Schewe; Martin Schmidt 003; Alexandra Schwartz; Gregor Zöttl (Math. Program., 2022)

The cost of not knowing enough: mixed-integer optimization with implicit Lipschitz nonlinearities. - Martin Schmidt 003; Mathias Sirvent; Winnifried Wollner (Optim. Lett., 2022)

Γ-robust linear complementarity problems. - Vanessa Krebs; Martin Schmidt 003 (Optim. Methods Softw., 2022)

Affinely Adjustable Robust Linear Complementarity Problems. - Christian Biefel; Frauke Liers; Jan Rolfes; Martin Schmidt 003 (SIAM J. Optim., 2022)

Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization. - Marianna De Santis; Jordan Frécon; Francesco Rinaldi; Saverio Salzo; Martin Schmidt 003 (CoRR, 2023)

Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium. - Julia Grübel; Olivier Huber; Lukas Hümbs; Max Klimm; Martin Schmidt 003; Alexandra Schwartz (Optim. Methods Softw., 2023)

Using neural networks to solve linear bilevel problems with unknown lower level. - Ioana Molan; Martin Schmidt 003 (Optim. Lett., 2023)

On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level. - Yasmine Beck; Daniel Bienstock; Martin Schmidt 003; Johannes Thürauf (J. Optim. Theory Appl., 2023)

Mixed-integer programming techniques for the minimum sum-of-squares clustering problem. - Jan Pablo Burgard; Carina Moreira Costa; Christopher Hojny; Thomas Kleinert; Martin Schmidt 003 (J. Glob. Optim., 2023)

A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities. - Julia Grübel; Richard Krug; Martin Schmidt 003; Winnifried Wollner (J. Optim. Theory Appl., 2023)

Why there is no need to use a big-M in linear bilevel optimization: a computational study of two ready-to-use approaches. - Thomas Kleinert; Martin Schmidt 003 (Comput. Manag. Sci., 2023)

A survey on bilevel optimization under uncertainty. - Yasmine Beck; Ivana Ljubic; Martin Schmidt 003 (Eur. J. Oper. Res., 2023)

Exact methods for discrete ${ varGamma }$-robust interdiction problems with an application to the bilevel knapsack problem. - Yasmine Beck; Ivana Ljubic; Martin Schmidt 003 (Math. Program. Comput., 2023)

Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems. - Diego Cattaruzza; Martine Labbé; Matteo Petris; Marius Roland; Martin Schmidt 003 (INFORMS J. Comput., 2024)

A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems. - Richard Krug; Günter Leugering; Alexander Martin 001; Martin Schmidt 003; Dieter Weninger (INFORMS J. Comput., 2024)

An Exact Method for Nonlinear Network Flow Interdiction Problems. - Martin Schmidt 003; Johannes Thürauf (SIAM J. Optim., 2024)

On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems. - Christian Biefel; Martin Schmidt 003 (Optim. Lett., 2024)

Robustification of the k-means clustering problem and tailored decomposition methods: when more conservative means more accurate. - Jan Pablo Burgard; Carina Moreira Costa; Martin Schmidt 003 (Ann. Oper. Res., 2024)

Connections between Robust and Bilevel Optimization. - Marc Goerigk; Jannis Kurtz; Martin Schmidt 003; Johannes Thürauf (Open J. Math. Optim., 2025)

Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization. - Sara Venturini; Marianna De Santis; Jordan Patracone; Martin Schmidt 003; Francesco Rinaldi; Saverio Salzo (Trans. Mach. Learn. Res., 2025)

On a tractable single-level reformulation of a multilevel model of the European entry-exit gas market with market power. - Veronika Grimm; Julia Grübel; Martin Schmidt 003; Alexandra Schwartz; Ann-Kathrin Wiertz; Gregor Zöttl (J. Glob. Optim., 2025)

On coupling constraints in linear bilevel optimization. - Dorothee Henke; Henri Lefebvre; Martin Schmidt 003; Johannes Thürauf (Optim. Lett., 2025)

A tutorial on solving single-leader-multi-follower problems using SOS1 reformulations. - Didier Aussel; Cécile Egea; Martin Schmidt 003 (Int. Trans. Oper. Res., 2025)