Publications

Selected work and a complete bibliographic archive, spanning nonlinear, mixed-integer, and bilevel optimization and their applications.

Selected Publications

  1. 2020
  2. 2017
  3. Nov 2021

    Journal Article

    Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems

    Richard Krug, Günter Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger

    SIAM Journal on Control and Optimization

Recent Publications

  1. 2026

    Journal Article

    Column Generation in Column-and-Constraint Generation for Adjustable Robust Optimization with Interdiction-Type Linking Constraints

    Henri Lefebvre, Martin Schmidt, Johannes Thürauf

    Mathematical Programming Computation

  2. 2026

    Journal Article

    Computing weak counterfactual explanations for linear optimization: A new class of bilevel models and a tailored penalty alternating direction method

    Henri Lefebvre, Martin Schmidt

    European Journal of Operational Research

Books

  1. 2022

    Book

    (Off-Topic 😉) Bessere Fotos: Bilder diskutieren, verstehen und verbessern

    Thomas Kleinert, Martin Schmidt

    mitp

All Publications

Browse the full archive by keyword, publication type, or year.

  1. 2026

    Journal Article

    Column Generation in Column-and-Constraint Generation for Adjustable Robust Optimization with Interdiction-Type Linking Constraints

    Henri Lefebvre, Martin Schmidt, Johannes Thürauf

    Mathematical Programming Computation

  2. 2026

    Journal Article

    Computing weak counterfactual explanations for linear optimization: A new class of bilevel models and a tailored penalty alternating direction method

    Henri Lefebvre, Martin Schmidt

    European Journal of Operational Research

  3. 2026

    Journal Article

    On Coupling Constraints in Pessimistic Linear Bilevel Optimization

    Dorothee Henke, Henri Lefebvre, Martin Schmidt, Johannes Thürauf

    Journal of Optimization Theory and Applications

  4. 2025

    Journal Article

    A tutorial on solving single-leader-multi-follower problems using SOS1 reformulations

    Didier Aussel, Cécile Egea, Martin Schmidt

    International Transactions in Operational Research

  5. 2025

    Journal Article

    Mixed-Integer Bilevel Optimization with Nonconvex Quadratic Lower-Level Problems: Complexity and a Solution Method

    Immanuel Bomze, Andreas Horländer, Martin Schmidt

    Journal of Global Optimization

  6. 2025

    Journal Article

    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, Alexandra Schwartz, Ann-Kathrin Wiertz, Gregor Zöttl

    Journal of Global Optimization

  7. 2024

    Journal Article

    A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems

    Richard Krug, Günter Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger

    INFORMS Journal on Computing

  8. 2024
  9. 2024
  10. 2024
  11. 2024

    Journal Article

    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

    Annals of Operations Research

  12. 2023

    Conference Proceedings Paper

    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

    Operations Research Proceedings 2022

  13. 2023

    Conference Proceedings Paper

    A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results

    Andreas Horländer, Martin Schmidt

    Operations Research Proceedings 2022

  14. 2023
  15. 2023

    Journal Article

    Exact methods for discrete Γ-robust interdiction problems with an application to the bilevel knapsack problem

    Yasmine Beck, Ivana Ljubic, Martin Schmidt

    Mathematical Programming Computation

  16. 2023

    Journal Article

    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, Alexandra Schwartz

    Optimization Methods and Software

  17. 2023

    Journal Article

    On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level

    Yasmine Beck, Daniel Bienstock, Martin Schmidt, Johannes Thürauf

    Journal of Optimization Theory and Applications

  18. 2023
  19. 2023
  20. 2022

    Book

    (Off-Topic 😉) Bessere Fotos: Bilder diskutieren, verstehen und verbessern

    Thomas Kleinert, Martin Schmidt

    mitp

  21. 2022

    Journal Article

    A Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market

    Fränk Plein, Johannes Thürauf, Martine Labbé, Martin Schmidt

    Mathematical Methods of Operations Research

  22. 2022

    Journal Article

    A Brief Introduction to Robust Bilevel Optimization

    Yasmine Beck, Ivana Ljubic, Martin Schmidt

    SIAG on Optimization Views and News. A Forum for the SIAM Activity Group on Optimization

  23. 2022

    Journal Article

    A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems

    Marianna de Santis, Sven de Vries, Martin Schmidt, Lukas Winkel

    INFORMS Journal on Computing

  24. 2022
  25. 2022

    Journal Article

    Affinely Adjustable Robust Linear Complementarity Problems

    Christian Biefel, Frauke Liers, Jan Rolfes, Martin Schmidt

    SIAM Journal in Optimization

  26. 2022

    Journal Article

    An Alternating Method for Cardinality-Constrained Optimization: A Computational Study for the Best Subset Selection and Sparse Portfolio Problem

    Carina Moreira Costa, Dennis Kreber, Martin Schmidt

    INFORMS Journal on Computing

  27. 2022

    Journal Article

    Global Optimization for the Multilevel European Gas Market System with Nonlinear Flow Models on Trees

    Lars Schewe, Martin Schmidt, Johannes Thürauf

    Journal of Global Optimization

  28. 2022

    Journal Article

    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

    Journal of Global Optimization

  29. 2022

    Journal Article

    On linear bilevel optimization problems with complementarity-constrained lower levels

    Steven A. Gabriel, Marina Leal, Martin Schmidt

    Journal of the Operational Research Society

  30. 2022

    Conference Proceedings Paper

    Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems

    Filippo Fabiani, Barbara Franci, Simone Sagratella, Martin Schmidt, Mathias Staudigl

    2022 IEEE 61st Conference on Decision and Control (CDC)

  31. 2022

    Journal Article

    Quo vadis, Entry-Exit-System?

    Martin Schmidt, Johannes Thürauf

    gwf-Gas+Erdgas

  32. 2022

    Journal Article

    The Cost of Decoupling Trade and Transport in the European Entry-Exit Gas Market with Linear Physics Modeling

    Tom Böttger, Veronika Grimm, Thomas Kleinert, Martin Schmidt

    European Journal of Operational Research

  33. 2022
  34. 2022

    Journal Article

    Γ-robust linear complementarity problems with ellipsoidal uncertainty sets

    Vanessa Krebs, Michael Müller, Martin Schmidt

    International Transactions in Operational Research

  35. Nov 2021

    Journal Article

    Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems

    Richard Krug, Günter Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger

    SIAM Journal on Control and Optimization

  36. Jul 2021
  37. 2021

    Journal Article

    A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization

    Thomas Kleinert, Martine Labbé, Ivana Ljubic, Martin Schmidt

    EURO Journal on Computational Optimization

  38. 2021

    Book Chapter

    Capacity Evaluation for Large-Scale Gas Networks

    Martin Schmidt, Benjamin Hiller, Thorsten Koch, Marc E. Pfetsch, Björn Geißler, René Henrion, Imke Joormann, Alexander Martin, Antonio Morsi, Werner Römisch, Lars Schewe, Rüdiger Schultz, Marc C. Steinbach

    German Success Stories in Industrial Mathematics

  39. 2021
  40. 2021
  41. 2021

    Journal Article

    Extensions of the SEIR Model for the Analysis of Tailored Social Distancing and Tracing Approaches to Cope with COVID-19

    Veronika Grimm, Friederike Mengel, Martin Schmidt

    Scientific Reports

  42. 2021

    Book Chapter

    Finance and Regulations

    M. Schmidt, F. Lacalandra

    Mathematical Optimization for Efficient and Robust Energy Networks

  43. 2021

    Book Chapter

    Finance, Regulations, Politics and Market Design

    H. Helmberg, F. Lacalandra, M. Schmidt, C. Henriques, A. De Filippo, M. Lombardi, M. Milano, P. Ezran, Y. Haddad, M. Diekerhof, M. Madani

    Mathematical Optimization for Efficient and Robust Energy Networks

  44. 2021

    Journal Article

    Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem

    Christopher Hojny, Imke Joormann, Hendrik Lüthen, Martin Schmidt

    Mathematical Programming Computation

  45. 2021

    Journal Article

    Outer Approximation for Global Optimization of Mixed-Integer Quadratic Bilevel Problems

    Thomas Kleinert, Veronika Grimm, Martin Schmidt

    Mathematical Programming (Series B)

  46. 2021
  47. 2021
  48. 2021
  49. 2021

    Journal Article

    Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions

    Richard Krug, Günter Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger

    Control and Cybernetics

  50. 2020
  51. 2020

    Journal Article

    Computing Technical Capacities in the European Entry-Exit Gas Market is NP-Hard

    Lars Schewe, Martin Schmidt, Johannes Thürauf

    Annals of Operations Research

  52. 2020
  53. 2020

    Journal Article

    On Electricity Market Equilibria with Storage: Modeling, Uniqueness, and a Distributed ADMM

    Julia Grübel, Thomas Kleinert, Vanessa Krebs, Galina Orlinskaya, Lars Schewe, Martin Schmidt, Johannes Thürauf

    Computers & Operations Research

  54. 2020

    Conference Proceedings Paper

    Port-Hamiltonian Modeling of District Heating Networks

    Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann, Jan Mohring, Arbi Moses Badlyan, Markus Rein, Martin Schmidt

    Progress in Differential-Algebraic Equations II

  55. 2020

    Journal Article

    The impact of potential-based physics models on pricing in energy networks

    Lars Schewe, Martin Schmidt

    Central European Journal of Operations Research

  56. 2020
  57. 2019
  58. 2019

    Journal Article

    Modeling hydrogen networks for future energy systems: A comparison of linear and nonlinear approaches

    Markus Reuß, Lara Welder, Johannes Thürauf, Jochen Linßen, Thomas Grube, Lars Schewe, Martin Schmidt, Detlef Stolten, Martin Robinius

    International Journal of Hydrogen Energy

  59. 2019
  60. 2019

    Journal Article

    Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches

    Veronika Grimm, Thomas Kleinert, Frauke Liers, Martin Schmidt, Gregor Zöttl

    Optimization Methods and Software

  61. 2019

    Journal Article

    Robust optimal discrete arc sizing for tree-shaped potential networks

    Martin Robinius, Lars Schewe, Martin Schmidt, Detlef Stolten, Johannes Thürauf, Lara Welder

    Computational Optimization and Applications

  62. 2018

    Journal Article

    MIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems

    Martin Gugat, Günter Leugering, Alexander Martin, Martin Schmidt, Mathias Sirvent, David Wintergerst

    Computational Optimization and Applications

  63. 2018

    Journal Article

    Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

    Volker Mehrmann, Martin Schmidt, Jeroen J. Stolwijk

    Vietnam Journal of Mathematics

  64. 2018

    Journal Article

    Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods

    Björn Geißler, Antonio Morsi, Lars Schewe, Martin Schmidt

    INFORMS Journal on Computing

  65. 2018

    Journal Article

    Towards simulation based mixed-integer optimization with differential equations

    Martin Gugat, Günter Leugering, Alexander Martin, Martin Schmidt, Mathias Sirvent, David Wintergerst

    Networks

  66. 2018

    Journal Article

    Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks

    Vanessa Krebs, Lars Schewe, Martin Schmidt

    European Journal of Operational Research

  67. 2017

    Book Chapter

    Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications

    Falk M. Hante, Günter Leugering, Alexander Martin, Lars Schewe, Martin Schmidt

    Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms

  68. 2017

    Journal Article

    Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks

    Günter Leugering, Alexander Martin, Martin Schmidt, Mathias Sirvent

    Control and Cybernetics

  69. 2017

    Journal Article

    Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps

    Björn Geißler, Antonio Morsi, Lars Schewe, Martin Schmidt

    SIAM Journal on Optimization

  70. 2016

    Journal Article

    Computational optimization of gas compressor stations: MINLP models versus continuous reformulations

    Daniel Rose, Martin Schmidt, Marc C. Steinbach, Bernhard M. Willert

    Mathematical Methods of Operations Research

  71. 2016

    Journal Article

    Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes

    Veronika Grimm, Alexander Martin, Martin Schmidt, Martin Weibelzahl, Gregor Zöttl

    European Journal of Operational Research

  72. 2015

    Book Chapter

    An MPEC based heuristic

    Martin Schmidt, Marc C. Steinbach, Bernhard M. Willert

    Evaluating Gas Network Capacities

  73. 2015

    Book Chapter

    Computational results for validation of nominations

    Benjamin Hiller, Jesco Humpola, Thomas Lehmann, Ralf Lenz, Antonio Morsi, Marc E. Pfetsch, Lars Schewe, Martin Schmidt, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Bernhard M. Willert

    Evaluating Gas Network Capacities

  74. 2015

    Book Chapter

    Physical and technical fundamentals of gas networks

    Armin Fügenschuh, Björn Geißler, Ralf Gollmer, Antonio Morsi, Marc E. Pfetsch, Jessica Rövekamp, Martin Schmidt, Klaus Spreckelsen, Marc C. Steinbach

    Evaluating Gas Network Capacities

  75. 2015

    Book Chapter

    The precise NLP model

    Martin Schmidt, Marc C. Steinbach, Bernhard M. Willert

    Evaluating Gas Network Capacities

  76. 2015

    Journal Article

    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, Alexander Martin, Antonio Morsi, Jessica Rövekamp, Lars Schewe, Martin Schmidt, Rüdiger Schultz, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Marc C. Steinbach, Stefan Vigerske, Bernhard M. Willert

    Optimization Methods and Software

  77. 2015

    Book Chapter

    What does “feasible” mean?

    Imke Joormann, Martin Schmidt, Marc C. Steinbach, Bernhard M. Willert

    Evaluating Gas Network Capacities

  78. 2014

    Journal Article

    Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets

    Armin Fügenschuh, Björn Geißler, Ralf Gollmer, Christine Hayn, René Henrion, Benjamin Hiller, Jesco Humpola, Thorsten Koch, Thomas Lehmann, Alexander Martin, Radoslava Mirkov, Antonio Morsi, Jessica Rövekamp, Lars Schewe, Martin Schmidt, Rüdiger Schultz, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Marc C. Steinbach, Bernhard M. Willert

    Energy Systems

  79. 2013

    Thesis

    A Generic Interior-Point Framework for Nonsmooth and Complementarity Constrained Nonlinear Optimization

    Martin Schmidt

    Leibniz Universität Hannover

  80. Mar 2012

    Journal Article

    Web-2.0-basiertes E-Learning in der Trainerausbildung

    Martin Schmidt, Markus Söhngen

    Leistungssport

  81. 2011

    Conference Proceedings Paper

    Optimierung Technischer Kapazitäten in Gasnetzen

    Alexander Martin, Björn Geißler, Christine Hayn, Antonio Morsi, Lars Schewe, Benjamin Hiller, Jesco Humpola, Thorsten Koch, Thomas Lehmann, Robert Schwarz, Jonas Schweiger, Marc Pfetsch, Martin Schmidt, Marc Steinbach, Bernhard Willert, Rüdiger Schultz

    Optimierung in der Energiewirtschaft

  82. Feb 2010

    Journal Article

    Trainerausbildung neu denken! edubreak SPORTS in der Traineraus- und fortbildung

    Martin Schmidt, Frank Vohle

    Trainerbrief

  83. Jun 2009

    Journal Article

    E-Learning: TTVN nutzt Web 2.0 in der Trainerausbildung

    Martin Schmidt, Markus Söhngen

    LSB-Magazin des LandesSportBund Niedersachsen

  84. Mar 2009

    Journal Article

    E-Learning. Die Zukunft hat begonnen

    Martin Schmidt, Markus Söhngen

    tischtennis

  85. Dec 2008

    Preprint

    Über Aspekte des Designs symmetrischer Verschlüsselungsverfahren mit einer Anwendung auf ein neues Kryptosystem

    Martin Schmidt

    FHDW Hannover

  86. 2008

    Journal Article

    Der Ausdauertest, Vergleich von Resteffekten im Ausdauerbereich bei spezifischen und unspezifischen Erhaltungsmaßnahmen im Tischtennis. Teil 2

    Martin Schmidt

    Trainerbrief

  87. 2008

    Thesis

    Über Aspekte des Designs symmetrischer Verschlüsselungsverfahren mit einer Anwendung auf ein neues Kryptosystem

    Martin Schmidt

    Leibniz Universität Hannover

  88. 2007

    Journal Article

    Der Ausdauertest, Vergleich von Resteffekten im Ausdauerbereich bei spezifischen und unspezifischen Erhaltungsmaßnahmen im Tischtennis. Teil 1

    Martin Schmidt

    Trainerbrief

  89. 2003

    Journal Article

    Erwartungen eines Spielers an seinen Coach

    Martin Schmidt

    Tischtennis Lehre

  90. Thesis

    Approximation der medialen Achse polygonal berandeter Gebiete in der euklidischen Ebene

    Martin Schmidt

    Institut für Mensch-Maschine-Kommunikation, FG Graphische Datenverarbeitung, Leibniz Universität Hannover