Publications

1. 2027

   Book

   Linear and Mixed-Integer Bilevel Optimization: Theory and Algorithms

   Yasmine Beck, Ivana Ljubić, Martin Schmidt

   Cambridge University Press

   • DOI for Linear and Mixed-Integer Bilevel Optimization: Theory and Algorithms
   • PDF for Linear and Mixed-Integer Bilevel Optimization: Theory and Algorithms
2. Aug 2026

   Journal Article

   Computational Methods for the Household Assignment Problem

   Ulf Friedrich, Lucas Moschen, Ralf Münnich, Martin Schmidt

   Mathematical Methods of Operations Research

   • DOI for Computational Methods for the Household Assignment Problem
   • Optimization Online for Computational Methods for the Household Assignment Problem
3. 2026

   Preprint

   A Successive Proximal DC Penalty Method with an Application to Mathematical Programs with Complementarity Constraints

   Dominic C. Flocco, Steven A. Gabriel, Trine Krogh Boomsma, Martin Schmidt, Miguel A. Lejeune

   • Optimization Online for A Successive Proximal DC Penalty Method with an Application to Mathematical Programs with Complementarity Constraints
4. 2026

   Journal Article

   BOBILib: Bilevel Optimization (Benchmark) Instance Library

   Johannes Thürauf, Thomas Kleinert, Ivana Ljubic, Ted Ralphs, Martin Schmidt

   Mathematical Programming Computation

   • DOI for BOBILib: Bilevel Optimization (Benchmark) Instance Library
   • Optimization Online for BOBILib: Bilevel Optimization (Benchmark) Instance Library
5. 2026

   Preprint

   Branch-and-Cut for Mixed-Integer Linear Decision-Dependent Robust Optimization

   Henri Lefebvre, Martin Schmidt, Simon Stevens, Johannes Thürauf

   • Optimization Online for Branch-and-Cut for Mixed-Integer Linear Decision-Dependent Robust Optimization
6. 2026

   Preprint

   Calmness of the Solution-Set Mapping for Linear Bilevel and Pricing Problems

   Henri Lefebvre, Martin Schmidt, Anton Svensson, Johannes Thürauf

   • Optimization Online for Calmness of the Solution-Set Mapping for Linear Bilevel and Pricing Problems
7. 2026

   Preprint

   Chance-Constrained Linear Complementarity Problems

   René Henrion, Martin Schmidt

   • Optimization Online for Chance-Constrained Linear Complementarity Problems
   • OPUS for Chance-Constrained Linear Complementarity Problems
8. 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

   • Vol. 18
   • No. 2
   • pp. 259–296

   • DOI for Column Generation in Column-and-Constraint Generation for Adjustable Robust Optimization with Interdiction-Type Linking Constraints
   • Optimization Online for Column Generation in Column-and-Constraint Generation for Adjustable Robust Optimization with Interdiction-Type Linking Constraints
9. 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

   • Vol. 333
   • No. 2
   • pp. 534–544

   • DOI for Computing weak counterfactual explanations for linear optimization: A new class of bilevel models and a tailored penalty alternating direction method
   • Optimization Online for Computing weak counterfactual explanations for linear optimization: A new class of bilevel models and a tailored penalty alternating direction method
10. 2026

    Journal Article

    Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems

    Yasmine Beck, Ivana Ljubic, Martin Schmidt

    INFORMS Journal on Computing

    • Vol. 38
    • No. 1
    • pp. 165–188

    • DOI for Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems
    • Optimization Online for Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems
11. 2026

    Journal Article

    Mixed-Integer Linear Optimization for Semi-Supervised Optimal Classification Trees

    Jan Pablo Burgard, Maria Eduarda Pinheiro, Martin Schmidt

    Journal of Global Optimization

    • Optimization Online for Mixed-Integer Linear Optimization for Semi-Supervised Optimal Classification Trees
    • arXiv for Mixed-Integer Linear Optimization for Semi-Supervised Optimal Classification Trees
12. 2026

    Preprint

    Multi-Leader Single-Follower Power-Market Modeling: The Impact of DC Market-Clearing on AC Feasibility

    Martina Cerulli, Claudia D'Ambrosio, Leo Liberti, Martin Schmidt

    • Optimization Online for Multi-Leader Single-Follower Power-Market Modeling: The Impact of DC Market-Clearing on AC Feasibility
13. 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

    • Vol. 210
    • No. 2
    • pp. 25

    • DOI for On Coupling Constraints in Pessimistic Linear Bilevel Optimization
    • arXiv for On Coupling Constraints in Pessimistic Linear Bilevel Optimization
    • Optimization Online for On Coupling Constraints in Pessimistic Linear Bilevel Optimization
14. 2026

    Preprint

    Potential-Based Flows—An Overview

    Marc E. Pfetsch, Martin Schmidt, Martin Skutella, Johannes Thürauf

    • Optimization Online for Potential-Based Flows—An Overview
15. 2026

    Preprint

    Stabilizing GNEP-Based Model Predictive Control: α-Quasi-GNEPs and Terminal Constraints

    Falk M. Hante, Martin Schmidt, Antonia Topalovic

    • Optimization Online for Stabilizing GNEP-Based Model Predictive Control: α-Quasi-GNEPs and Terminal Constraints
    • OPUS for Stabilizing GNEP-Based Model Predictive Control: α-Quasi-GNEPs and Terminal Constraints
16. 2026

    Preprint

    When do Mixed-Integer Games Admit Rational Equilibria?

    Aloïs Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz

    • Optimization Online for When do Mixed-Integer Games Admit Rational Equilibria?
    • arXiv for When do Mixed-Integer Games Admit Rational Equilibria?
17. 2025

    Preprint

    A Computational Study for Solving Decision-Dependent Robust Problems as Bilevel Optimization Problems

    Henri Lefebvre, Martin Schmidt, Simon Stevens, Johannes Thürauf

    • arXiv for A Computational Study for Solving Decision-Dependent Robust Problems as Bilevel Optimization Problems
    • Optimization Online for A Computational Study for Solving Decision-Dependent Robust Problems as Bilevel Optimization Problems
18. 2025

    Preprint

    A Dantzig-Wolfe Single-Level Reformulation for Mixed-Integer Linear Bilevel Optimization: Exact and Heuristic Approaches

    Henri Lefebvre, Martin Schmidt

    • Optimization Online for A Dantzig-Wolfe Single-Level Reformulation for Mixed-Integer Linear Bilevel Optimization: Exact and Heuristic Approaches
19. 2025

    Conference Proceedings Paper

    A Gauss-Seidel Method for Solving Multi-Leader-Multi-Follower Games

    Barbara Franci, Filippo Fabiani, Martin Schmidt, Mathias Staudigl

    2025 European Control Conference (ECC)

    • pp. 2775–2780
    • IEEE

    • DOI for A Gauss-Seidel Method for Solving Multi-Leader-Multi-Follower Games
    • arXiv for A Gauss-Seidel Method for Solving Multi-Leader-Multi-Follower Games
20. 2025

    Journal Article

    A Heuristic for Complementarity Problems Using Difference of Convex Functions

    Steven A. Gabriel, Dominic Flocco, Trine K. Boomsma, Martin Schmidt, Miguel A. Lejeune

    INFORMS Journal on Computing

    • DOI for A Heuristic for Complementarity Problems Using Difference of Convex Functions
    • Code for A Heuristic for Complementarity Problems Using Difference of Convex Functions
21. 2025

    Preprint

    A One-Extra Player Reduction of GNEPs to NEPs

    Henri Lefebvre, David Salas, Martin Schmidt

    • Optimization Online for A One-Extra Player Reduction of GNEPs to NEPs
22. 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

    • Vol. 32
    • No. 3
    • pp. 1227–1250

    • DOI for A tutorial on solving single-leader-multi-follower problems using SOS1 reformulations
    • Online for A tutorial on solving single-leader-multi-follower problems using SOS1 reformulations
    • Optimization Online for A tutorial on solving single-leader-multi-follower problems using SOS1 reformulations
23. 2025

    Journal Article

    Adjustable robust nonlinear network design without controllable elements under load scenario uncertainties

    Johannes Thürauf, Julia Grübel, Martin Schmidt

    Mathematical Programming (Series B)

    • DOI for Adjustable robust nonlinear network design without controllable elements under load scenario uncertainties
    • Optimization Online for Adjustable robust nonlinear network design without controllable elements under load scenario uncertainties
24. 2025

    Preprint

    Branch-and-Cut for Computing Approximate Equilibria of Mixed-Integer Generalized Nash Games

    Aloïs Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz

    • Optimization Online for Branch-and-Cut for Computing Approximate Equilibria of Mixed-Integer Generalized Nash Games
    • arXiv for Branch-and-Cut for Computing Approximate Equilibria of Mixed-Integer Generalized Nash Games
25. 2025

    Preprint

    Branch-and-Cut for Mixed-Integer Nash Equilibrium Problems

    Aloïs Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz

    • Optimization Online for Branch-and-Cut for Mixed-Integer Nash Equilibrium Problems
    • arXiv for Branch-and-Cut for Mixed-Integer Nash Equilibrium Problems
26. 2025

    Journal Article

    Connections between Robust and Bilevel Optimization

    Marc Goerigk, Jannis Kurtz, Martin Schmidt, Johannes Thürauf

    Open Journal of Mathematical Optimization

    • Vol. 6
    • No. 2
    • pp. 1–17

    • DOI for Connections between Robust and Bilevel Optimization
    • Online for Connections between Robust and Bilevel Optimization
27. 2025

    Journal Article

    Learning the Follower's Objective Function in Sequential Bilevel Games

    Ioana Molan, Martin Schmidt, Johannes Thürauf

    Mathematical Methods of Operations Research

    • Vol. 102
    • No. 2
    • pp. 291–323

    • DOI for Learning the Follower's Objective Function in Sequential Bilevel Games
    • Optimization Online for Learning the Follower's Objective Function in Sequential Bilevel Games
28. 2025

    Preprint

    Minimal Regret Walras Equilibria for Combinatorial Markets via Duality, Integrality, and Sensitivity Gaps

    Aloïs Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz

    • Optimization Online for Minimal Regret Walras Equilibria for Combinatorial Markets via Duality, Integrality, and Sensitivity Gaps
    • arXiv for Minimal Regret Walras Equilibria for Combinatorial Markets via Duality, Integrality, and Sensitivity Gaps
29. 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

    • Vol. 93
    • No. 1
    • pp. 1–25

    • DOI for Mixed-Integer Bilevel Optimization with Nonconvex Quadratic Lower-Level Problems: Complexity and a Solution Method
    • Optimization Online for Mixed-Integer Bilevel Optimization with Nonconvex Quadratic Lower-Level Problems: Complexity and a Solution Method
30. 2025

    Journal Article

    Mixed-integer linear optimization for cardinality-constrained random forests

    Jan Pablo Burgard, Maria Eduarda Pinheiro, Martin Schmidt

    Optimization Letters

    • Vol. 19
    • No. 9
    • pp. 1717–1735

    • DOI for Mixed-integer linear optimization for cardinality-constrained random forests
    • Optimization Online for Mixed-integer linear optimization for cardinality-constrained random forests
31. 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

    • Vol. 91
    • No. 4
    • pp. 953–985

    • DOI for On a tractable single-level reformulation of a multilevel model of the European entry-exit gas market with market power
    • Optimization Online for On a tractable single-level reformulation of a multilevel model of the European entry-exit gas market with market power
    • OPUS for On a tractable single-level reformulation of a multilevel model of the European entry-exit gas market with market power
32. 2025

    Preprint

    On Multidimensional Disjunctive Inequalities for Chance-Constrained Stochastic Problems with Finite Support

    Diego Cattaruzza, Martine Labbé, Matteo Petris, Marius Roland, Martin Schmidt

    • Optimization Online for On Multidimensional Disjunctive Inequalities for Chance-Constrained Stochastic Problems with Finite Support
33. 2025

    Journal Article

    Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization

    Sara Venturini, Marianna De Santis, Jordan Patracone, Martin Schmidt, Francesco Rinaldi, Saverio Salzo

    Transactions on Machine Learning Research

    • Online for Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization
    • arXiv for Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization
34. 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

    • Vol. 36
    • No. 2
    • pp. 397–416

    • DOI for A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems
    • Optimization Online for A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems
    • OPUS for A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems
35. 2024

    Journal Article

    A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents

    Leonhard Frerick, Georg Müller-Fürstenberger, Martin Schmidt, Max Späth

    Networks and Spatial Economics

    • Vol. 24
    • No. 4
    • pp. 869–896

    • DOI for A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
    • Optimization Online for A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
    • SSRN for A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
36. 2024

    Preprint

    A Toll-Setting Problem with Robust Wardrop Equilibrium Conditions Under Budgeted Uncertainty

    Yasmine Beck, Martine Labbé, Martin Schmidt

    • Optimization Online for A Toll-Setting Problem with Robust Wardrop Equilibrium Conditions Under Budgeted Uncertainty
37. 2024

    Journal Article

    Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs

    Hannes Dänschel, Volker Mehrmann, Marius Roland, Martin Schmidt

    SeMA Journal

    • Vol. 81
    • No. 1
    • pp. 81–112

    • DOI for Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
    • Optimization Online for Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
    • OPUS for Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
    • arXiv for Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
38. 2024

    Journal Article

    An Exact Method for Nonlinear Network Flow Interdiction Problems

    Martin Schmidt, Johannes Thürauf

    SIAM Journal on Optimization

    • Vol. 34
    • No. 4
    • pp. 3623–3652

    • DOI for An Exact Method for Nonlinear Network Flow Interdiction Problems
    • Optimization Online for An Exact Method for Nonlinear Network Flow Interdiction Problems
    • OPUS for An Exact Method for Nonlinear Network Flow Interdiction Problems
39. 2024

    Journal Article

    Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems

    Diego Cattaruzza, Martine Labbé, Matteo Petris, Marius Roland, Martin Schmidt

    INFORMS Journal on Computing

    • Vol. 36
    • No. 4
    • pp. 1084–1107

    • DOI for Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems
40. 2024

    Preprint

    Exact Augmented Lagrangian Duality for Nonconvex Mixed-Integer Nonlinear Optimization

    Henri Lefebvre, Martin Schmidt

    • Optimization Online for Exact Augmented Lagrangian Duality for Nonconvex Mixed-Integer Nonlinear Optimization
41. 2024

    Journal Article

    Mixed-integer quadratic optimization and iterative clustering techniques for semi-supervised support vector machines

    Jan Pablo Burgard, Maria Eduarda Pinheiro, Martin Schmidt

    TOP

    • Vol. 32
    • No. 3
    • pp. 391–428

    • DOI for Mixed-integer quadratic optimization and iterative clustering techniques for semi-supervised support vector machines
    • Optimization Online for Mixed-integer quadratic optimization and iterative clustering techniques for semi-supervised support vector machines
    • arXiv for Mixed-integer quadratic optimization and iterative clustering techniques for semi-supervised support vector machines
42. 2024

    Journal Article

    On Coupling Constraints in Linear Bilevel Optimization

    Dorothee Henke, Henri Lefebvre, Martin Schmidt, Johannes Thürauf

    Optimization Letters

    • Vol. 19
    • No. 3
    • pp. 689–697

    • DOI for On Coupling Constraints in Linear Bilevel Optimization
    • Optimization Online for On Coupling Constraints in Linear Bilevel Optimization
    • arXiv for On Coupling Constraints in Linear Bilevel Optimization
43. 2024

    Journal Article

    On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems

    Christian Biefel, Martin Schmidt

    Optimization Letters

    • Vol. 18
    • No. 5
    • pp. 1303–1311

    • DOI for On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
    • Optimization Online for On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
    • arXiv for On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
44. 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

    • Vol. 339
    • No. 3
    • pp. 1525–1568

    • DOI for Robustification of the k-means clustering problem and tailored decomposition methods: when more conservative means more accurate
    • Optimization Online for Robustification of the k-means clustering problem and tailored decomposition methods: when more conservative means more accurate
45. 2024

    Preprint

    Using Disjunctive Cuts in a Branch-and-Cut Method to Solve Convex Integer Nonlinear Bilevel Programs

    Andreas Horländer, Ivana Ljubic, Martin Schmidt

    • Optimization Online for Using Disjunctive Cuts in a Branch-and-Cut Method to Solve Convex Integer Nonlinear Bilevel Programs
46. 2023

    Preprint

    A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport

    Veronika Grimm, Michael Hintermüller, Olivier Huber, Lars Schewe, Martin Schmidt, Gregor Zöttl

    • OPUS for A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport
    • Optimization Online for A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport
47. 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

    • pp. 139–145
    • Springer International Publishing

    • DOI for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part I: Key Ideas and a Fixed Parameter Setting
    • OPUS for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part I: Key Ideas and a Fixed Parameter Setting
    • Optimization Online for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part I: Key Ideas and a Fixed Parameter Setting
48. 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

    • pp. 147–153
    • Springer International Publishing

    • DOI for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results
    • OPUS for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results
    • Optimization Online for A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results
49. 2023

    Journal Article

    A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities

    Julia Grübel, Richard Krug, Martin Schmidt, Winnifried Wollner

    Journal of Optimization Theory and Applications

    • Vol. 198
    • No. 3
    • pp. 1077–1117

    • DOI for A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
    • OPUS for A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
    • Optimization Online for A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
    • arXiv for A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
50. 2023

    Journal Article

    A survey on bilevel optimization under uncertainty

    Yasmine Beck, Ivana Ljubić, Martin Schmidt

    European Journal of Operational Research

    • Vol. 311
    • No. 2
    • pp. 401–426

    • DOI for A survey on bilevel optimization under uncertainty
    • Optimization Online for A survey on bilevel optimization under uncertainty
    • OPUS for A survey on bilevel optimization under uncertainty
51. 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

    • Vol. 15
    • No. 4
    • pp. 733–782

    • DOI for Exact methods for discrete Γ-robust interdiction problems with an application to the bilevel knapsack problem
    • Optimization Online for Exact methods for discrete Γ-robust interdiction problems with an application to the bilevel knapsack problem
    • OPUS for Exact methods for discrete Γ-robust interdiction problems with an application to the bilevel knapsack problem
52. 2023

    Book Chapter

    Gas Transport Network Optimization: Mixed-Integer Nonlinear Models

    Falk M. Hante, Martin Schmidt

    Encyclopedia of Optimization

    • pp. 1–8
    • Springer International Publishing

    • DOI for Gas Transport Network Optimization: Mixed-Integer Nonlinear Models
    • OPUS for Gas Transport Network Optimization: Mixed-Integer Nonlinear Models
    • Optimization Online for Gas Transport Network Optimization: Mixed-Integer Nonlinear Models
53. 2023

    Book Chapter

    Gas Transport Network Optimization: PDE-Constrained Models

    Martin Schmidt, Falk M. Hante

    Encyclopedia of Optimization

    • pp. 1–7
    • Springer International Publishing

    • DOI for Gas Transport Network Optimization: PDE-Constrained Models
    • OPUS for Gas Transport Network Optimization: PDE-Constrained Models
    • Optimization Online for Gas Transport Network Optimization: PDE-Constrained Models
54. 2023

    Journal Article

    Mixed-Integer Programming Techniques for the Minimum Sum-of-Squares Clustering Problem

    Jan Pablo Burgard, Carina Moreira Costa, Christopher Hojny, Thomas Kleinert, Martin Schmidt

    Journal of Global Optimization

    • Vol. 87
    • No. 1
    • pp. 133–189

    • DOI for Mixed-Integer Programming Techniques for the Minimum Sum-of-Squares Clustering Problem
    • Optimization Online for Mixed-Integer Programming Techniques for the Minimum Sum-of-Squares Clustering Problem
55. 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

    • Vol. 38
    • No. 1
    • pp. 153–183

    • DOI for Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium
    • OPUS for Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium
    • Optimization Online for Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium
56. 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

    • Vol. 198
    • No. 1
    • pp. 428–447

    • DOI for On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level
    • OPUS for On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level
    • Optimization Online for On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level
    • arXiv for On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level
57. 2023

    Journal Article

    Time-Domain Decomposition for Mixed-Integer Optimal Control Problems

    Falk M. Hante, Richard Krug, Martin Schmidt

    Applied Mathematics & Optimization

    • Vol. 87
    • No. 3
    • pp. 36

    • DOI for Time-Domain Decomposition for Mixed-Integer Optimal Control Problems
    • OPUS for Time-Domain Decomposition for Mixed-Integer Optimal Control Problems
    • Optimization Online for Time-Domain Decomposition for Mixed-Integer Optimal Control Problems
58. 2023

    Journal Article

    Using neural networks to solve linear bilevel problems with unknown lower level

    Ioana Molan, Martin Schmidt

    Optimization Letters

    • Vol. 17
    • No. 5
    • pp. 1083–1103

    • DOI for Using neural networks to solve linear bilevel problems with unknown lower level
    • Optimization Online for Using neural networks to solve linear bilevel problems with unknown lower level
    • OPUS for Using neural networks to solve linear bilevel problems with unknown lower level
59. 2023

    Journal Article

    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

    Computational Management Science

    • Vol. 20
    • No. 1
    • pp. 3

    • DOI for Why there is no need to use a big-M in linear bilevel optimization: A computational study of two ready-to-use approaches
    • OPUS for Why there is no need to use a big-M in linear bilevel optimization: A computational study of two ready-to-use approaches
    • Optimization Online for Why there is no need to use a big-M in linear bilevel optimization: A computational study of two ready-to-use approaches
60. 2023

    Journal Article

    Γ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments

    Emre Çelebi, Vanessa Krebs, Martin Schmidt

    Energy Systems

    • Vol. 14
    • No. 3
    • pp. 759–786

    • DOI for Γ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments
    • Optimization Online for Γ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments
    • OPUS for Γ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments
61. Sept 2022

    Journal Article

    Hochschullehre in der Mathematik - ein wissenschaftsdidaktisches Gespräch

    Gabi Reinmann, Martin Schmidt, Frank Vohle

    Impact Free

    • PDF for Hochschullehre in der Mathematik - ein wissenschaftsdidaktisches Gespräch
62. 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

    • Vol. 95
    • No. 3
    • pp. 409–449

    • DOI for A Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market
    • OPUS for A Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market
    • Optimization Online for A Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market
63. 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

    • Vol. 30
    • No. 2
    • pp. 1–10

    • PDF for A Brief Introduction to Robust Bilevel Optimization
    • arXiv for A Brief Introduction to Robust Bilevel Optimization
    • Optimization Online for A Brief Introduction to Robust Bilevel Optimization
64. 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

    • Vol. 34
    • No. 6
    • pp. 3117–3133

    • DOI for A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems
    • OPUS for A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems
    • Optimization Online for A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems
65. 2022

    Journal Article

    A Tractable Multi-Leader Multi-Follower Peak-Load-Pricing Model with Strategic Interaction

    Veronika Grimm, Daniel Nowak, Lars Schewe, Martin Schmidt, Alexandra Schwartz, Gregor Zöttl

    Mathematical Programming

    • Vol. 195
    • No. 1
    • pp. 605–647

    • DOI for A Tractable Multi-Leader Multi-Follower Peak-Load-Pricing Model with Strategic Interaction
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66. 2022

    Journal Article

    Affinely Adjustable Robust Linear Complementarity Problems

    Christian Biefel, Frauke Liers, Jan Rolfes, Martin Schmidt

    SIAM Journal in Optimization

    • Vol. 32
    • No. 1
    • pp. 152–172

    • DOI for Affinely Adjustable Robust Linear Complementarity Problems
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67. 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

    • Vol. 34
    • No. 6
    • pp. 2968–2988

    • DOI for An Alternating Method for Cardinality-Constrained Optimization: A Computational Study for the Best Subset Selection and Sparse Portfolio Problem
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68. 2022

    Book

    Bessere Fotos: Bilder diskutieren, verstehen und verbessern

    Thomas Kleinert, Martin Schmidt

    mitp

69. 2022

    Journal Article

    Complementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents

    Leonhard Frerick, Georg Müller-Fürstenberger, Martin Schmidt, Max Späth

    Computational Economics

    • Vol. 60
    • No. 3
    • pp. 1135–1154

    • DOI for Complementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents
    • Optimization Online for Complementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents
70. 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

    • Vol. 82
    • No. 3
    • pp. 627–653

    • DOI for Global Optimization for the Multilevel European Gas Market System with Nonlinear Flow Models on Trees
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71. 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

    • Vol. 84
    • No. 3
    • pp. 651–685

    • DOI for On Convex Lower-Level Black-Box Constraints in Bilevel Optimization with an Application to Gas Market Models with Chance Constraints
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72. 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

    • Vol. 73
    • No. 12
    • pp. 2706–2716

    • DOI for On linear bilevel optimization problems with complementarity-constrained lower levels
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73. 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)

    • pp. 4137–4142

    • DOI for Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems
    • arXiv for Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems
74. 2022

    Journal Article

    Quo vadis, Entry-Exit-System?

    Martin Schmidt, Johannes Thürauf

    gwf-Gas+Erdgas

    • Vol. 7-8
    • pp. 60–67
75. 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

    • Vol. 297
    • No. 3
    • pp. 1095–1111

    • DOI for The Cost of Decoupling Trade and Transport in the European Entry-Exit Gas Market with Linear Physics Modeling
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76. 2022

    Journal Article

    The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities

    Martin Schmidt, Mathias Sirvent, Winnifried Wollner

    Optimization Letters

    • Vol. 16
    • No. 5
    • pp. 1355–1372

    • DOI for The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities
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77. 2022

    Journal Article

    Γ-Robust Linear Complementarity Problems

    Vanessa Krebs, Martin Schmidt

    Optimization Methods and Software

    • Vol. 37
    • No. 2
    • pp. 658–691

    • DOI for Γ-Robust Linear Complementarity Problems
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78. 2022

    Journal Article

    Γ-robust linear complementarity problems with ellipsoidal uncertainty sets

    Vanessa Krebs, Michael Müller, Martin Schmidt

    International Transactions in Operational Research

    • Vol. 29
    • No. 1
    • pp. 417–441

    • DOI for Γ-robust linear complementarity problems with ellipsoidal uncertainty sets
    • Optimization Online for Γ-robust linear complementarity problems with ellipsoidal uncertainty sets
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79. 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

    • Vol. 59
    • No. 6
    • pp. 4339–4372

    • DOI for Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems
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80. Aug 2021

    Journal Article

    Mathematik-Vorlesungen neu denken: Vom didaktischen Design zu Design-Based Research

    Martin Schmidt und Frank Vohle

    Impact Free

    • PDF for Mathematik-Vorlesungen neu denken: Vom didaktischen Design zu Design-Based Research
81. Jul 2021

    Journal Article

    The Impact of Neighboring Markets on Renewable Locations, Transmission Expansion, and Generation Investment

    Jonas Egerer, Veronika Grimm, Thomas Kleinert, Martin Schmidt, Gregor Zöttl

    European Journal on Operational Research

    • Vol. 292
    • No. 2
    • pp. 696–713

    • DOI for The Impact of Neighboring Markets on Renewable Locations, Transmission Expansion, and Generation Investment
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82. 2021

    Preprint

    A Gentle and Incomplete Introduction to Bilevel Optimization

    Yasmine Beck, Martin Schmidt

    • Lecture notes

    • Optimization Online for A Gentle and Incomplete Introduction to Bilevel Optimization
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83. 2021

    Journal Article

    A robust approach for modeling limited observability in bilevel optimization

    Yasmine Beck, Martin Schmidt

    Operations Research Letters

    • Vol. 49
    • No. 5
    • pp. 752–758

    • DOI for A robust approach for modeling limited observability in bilevel optimization
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84. 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

    • Vol. 9
    • pp. 100007

    • DOI for A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization
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85. 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

    • pp. 23–28
    • Springer International Publishing

    • DOI for Capacity Evaluation for Large-Scale Gas Networks
    • OPUS for Capacity Evaluation for Large-Scale Gas Networks
86. 2021

    Journal Article

    Closing the Gap in Linear Bilevel Optimization: A New Valid Primal-Dual Inequality

    Thomas Kleinert, Martine Labbé, Fränk Plein, Martin Schmidt

    Optimization Letters

    • Vol. 15
    • No. 4
    • pp. 1027–1040

    • DOI for Closing the Gap in Linear Bilevel Optimization: A New Valid Primal-Dual Inequality
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87. 2021

    Journal Article

    Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method

    Thomas Kleinert, Martin Schmidt

    INFORMS Journal on Computing

    • Vol. 33
    • No. 1
    • pp. 198–215

    • DOI for Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method
88. 2021

    Journal Article

    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, Johannes Thürauf

    Networks

    • Vol. 78
    • No. 2
    • pp. 128–152

    • DOI for Deciding feasibility of a booking in the European gas market on a cycle is in P for the case of passive networks
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89. 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

    • Vol. 11
    • No. 1
    • pp. 880

    • DOI for Extensions of the SEIR Model for the Analysis of Tailored Social Distancing and Tracing Approaches to Cope with COVID-19
    • medRxiv for Extensions of the SEIR Model for the Analysis of Tailored Social Distancing and Tracing Approaches to Cope with COVID-19
90. 2021

    Book Chapter

    Finance and Regulations

    M. Schmidt, F. Lacalandra

    Mathematical Optimization for Efficient and Robust Energy Networks

    • pp. 107–110
    • Springer International Publishing

    • DOI for Finance and Regulations
91. 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

    • pp. 59–75
    • Springer International Publishing

    • DOI for Finance, Regulations, Politics and Market Design
92. 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

    • Vol. 13
    • No. 1
    • pp. 75–132

    • DOI for Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem
    • Optimization Online for Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem
    • OPUS for Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem
93. 2021

    Journal Article

    Nonlinear Optimization of District Heating Networks

    Richard Krug, Volker Mehrmann, Martin Schmidt

    Optimization and Engineering

    • Vol. 22
    • No. 2
    • pp. 783–819

    • DOI for Nonlinear Optimization of District Heating Networks
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94. 2021

    Journal Article

    Optimal design of retailer-prosumer electricity tariffs using bilevel optimization

    Veronika Grimm, Galina Orlinskaya, Lars Schewe, Martin Schmidt, Gregor Zöttl

    Omega

    • Vol. 102
    • pp. 102327

    • DOI for Optimal design of retailer-prosumer electricity tariffs using bilevel optimization
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95. 2021

    Journal Article

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

    Thomas Kleinert, Veronika Grimm, Martin Schmidt

    Mathematical Programming (Series B)

    • Vol. 188
    • No. 2
    • pp. 461–521

    • DOI for Outer Approximation for Global Optimization of Mixed-Integer Quadratic Bilevel Problems
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96. 2021

    Journal Article

    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, Martin Schmidt, Benjamin Seith, Nikolai Vogl

    European Journal of Operational Research

    • Vol. 290
    • No. 2
    • pp. 734–748

    • DOI for Portfolio Optimization with Irreversible Long-Term Investments in Renewable Energy under Policy Risk: A Mixed-Integer Multistage Stochastic Model and a Moving-Horizon Approach
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97. 2021

    Journal Article

    Presolving linear bilevel optimization problems

    Thomas Kleinert, Julian Manns, Martin Schmidt, Dieter Weninger

    EURO Journal on Computational Optimization

    • Vol. 9
    • pp. 100020

    • DOI for Presolving linear bilevel optimization problems
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98. 2021

    Journal Article

    Solving Binary-Constrained Mixed Complementarity Problems Using Continuous Reformulations

    Steven A. Gabriel, Marina Leal, Martin Schmidt

    Computers & Operations Research

    • Vol. 131
    • pp. 105208

    • DOI for Solving Binary-Constrained Mixed Complementarity Problems Using Continuous Reformulations
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99. 2021

    Journal Article

    Strictly and Γ-robust counterparts of electricity market models: Perfect competition and Nash–Cournot equilibria

    Anja Kramer, Vanessa Krebs, Martin Schmidt

    Operations Research Perspectives

    • Vol. 8
    • pp. 100197

    • DOI for Strictly and Γ-robust counterparts of electricity market models: Perfect competition and Nash–Cournot equilibria
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100. 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

     • Vol. 50
     • No. 4
     • pp. 427–455

     • DOI for Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions
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101. 2020

     Journal Article

     A decomposition heuristic for mixed-integer supply chain problems

     Lars Schewe, Martin Schmidt, Dieter Weninger

     Operations Research Letters

     • Vol. 48
     • No. 3
     • pp. 225–232

     • DOI for A decomposition heuristic for mixed-integer supply chain problems
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102. 2020

     Review

     Book review of “Nonlinear Optimization” by Francisco J. Aragón, Miguel A. Goberna, Marco A. López, and Margarita M. L. Rodríguez

     Martin Schmidt

     SIAM Review

     • DOI for Book review of “Nonlinear Optimization” by Francisco J. Aragón, Miguel A. Goberna, Marco A. López, and Margarita M. L. Rodríguez
103. 2020

     Journal Article

     Bookings in the European Gas Market: Characterisation of Feasibility and Computational Complexity Results

     Martine Labbé, Fränk Plein, Martin Schmidt

     Optimization and Engineering

     • Vol. 21
     • No. 1
     • pp. 305–334

     • DOI for Bookings in the European Gas Market: Characterisation of Feasibility and Computational Complexity Results
     • Optimization Online for Bookings in the European Gas Market: Characterisation of Feasibility and Computational Complexity Results
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104. 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

     • Vol. 295
     • No. 1
     • pp. 337–362

     • DOI for Computing Technical Capacities in the European Entry-Exit Gas Market is NP-Hard
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105. 2020

     Journal Article

     Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning

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

     Energy Economics

     • Vol. 92
     • pp. 104879

     • DOI for Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning
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106. 2020

     Journal Article

     Mixed-Integer Nonlinear Optimization for District Heating Network Expansion

     Marius Roland, Martin Schmidt

     at - Automatisierungstechnik

     • Vol. 68
     • No. 12
     • pp. 985–1000

     • DOI for Mixed-Integer Nonlinear Optimization for District Heating Network Expansion
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107. 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

     • Vol. 114
     • pp. 104783

     • DOI for On Electricity Market Equilibria with Storage: Modeling, Uniqueness, and a Distributed ADMM
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108. 2020

     Journal Article

     Optimization Techniques for Tree-Structured Nonlinear Problems

     Jens Hübner, Martin Schmidt, Marc C. Steinbach

     Computational Management Science

     • Vol. 17
     • No. 3
     • pp. 409–436

     • DOI for Optimization Techniques for Tree-Structured Nonlinear Problems
     • Optimization Online for Optimization Techniques for Tree-Structured Nonlinear Problems
109. 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

     • pp. 333–355
     • Springer International Publishing

     • DOI for Port-Hamiltonian Modeling of District Heating Networks
     • arXiv for Port-Hamiltonian Modeling of District Heating Networks
     • OPUS for Port-Hamiltonian Modeling of District Heating Networks
110. 2020

     Journal Article

     Structural properties of feasible bookings in the European entry–exit gas market system

     Lars Schewe, Martin Schmidt, Johannes Thürauf

     4OR

     • Vol. 18
     • No. 2
     • pp. 197–218

     • DOI for Structural properties of feasible bookings in the European entry–exit gas market system
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111. 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

     • Vol. 28
     • No. 3
     • pp. 1003–1029

     • DOI for The impact of potential-based physics models on pricing in energy networks
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112. 2020

     Journal Article

     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

     Operations Research

     • Vol. 68
     • No. 6
     • pp. 1716–1721

     • DOI for There's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization
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113. Mar 2019

     Journal Article

     Computing Feasible Points for Binary MINLPs with MPECs

     Lars Schewe, Martin Schmidt

     Mathematical Programming Computation

     • Vol. 11
     • No. 1
     • pp. 95–118

     • DOI for Computing Feasible Points for Binary MINLPs with MPECs
     • Optimization Online for Computing Feasible Points for Binary MINLPs with MPECs
     • OPUS for Computing Feasible Points for Binary MINLPs with MPECs
114. 2019

     Journal Article

     A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities

     Martin Schmidt, Mathias Sirvent, Winnifried Wollner

     Mathematical Programming

     • Vol. 178
     • No. 1
     • pp. 449–483

     • DOI for A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities
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     • OPUS for A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities
115. 2019

     Journal Article

     A Multilevel Model of the European Entry-Exit Gas Market

     Veronika Grimm, Lars Schewe, Martin Schmidt, Gregor Zöttl

     Mathematical Methods of Operations Research

     • Vol. 89
     • No. 2
     • pp. 223–255

     • DOI for A Multilevel Model of the European Entry-Exit Gas Market
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     • OPUS for A Multilevel Model of the European Entry-Exit Gas Market
116. 2019

     Journal Article

     Algorithmic Results for Potential-Based Flows: Easy and Hard Cases

     Martin Groß, Marc E. Pfetsch, Lars Schewe, Martin Schmidt, Martin Skutella

     Networks

     • Vol. 73
     • No. 3
     • pp. 306–324

     • DOI for Algorithmic Results for Potential-Based Flows: Easy and Hard Cases
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     • OPUS for Algorithmic Results for Potential-Based Flows: Easy and Hard Cases
117. 2019

     Journal Article

     Complementarity-based nonlinear programming techniques for optimal mixing in gas networks

     Falk M. Hante, Martin Schmidt

     EURO Journal on Computational Optimization

     • Vol. 7
     • No. 3
     • pp. 299–323

     • DOI for Complementarity-based nonlinear programming techniques for optimal mixing in gas networks
118. 2019

     Journal Article

     Convergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations

     Falk M. Hante, Martin Schmidt

     Control and Cybernetics

     • Vol. 48
     • No. 2
     • pp. 209–230

     • Optimization Online for Convergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations
     • OPUS for Convergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations
119. 2019

     Journal Article

     Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning

     Thomas Kleinert, Martin Schmidt

     Discrete Optimization

     • Vol. 33
     • pp. 43–69

     • DOI for Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning
     • Optimization Online for Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning
     • OPUS for Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning
120. 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

     • Vol. 44
     • No. 60
     • pp. 32136–32150

     • DOI for Modeling hydrogen networks for future energy systems: A comparison of linear and nonlinear approaches
     • Preprint for Modeling hydrogen networks for future energy systems: A comparison of linear and nonlinear approaches
121. 2019

     Journal Article

     Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches

     Veronika Grimm, Julia Grübel, Lars Schewe, Martin Schmidt, Gregor Zöttl

     European Journal on Operational Research

     • Vol. 273
     • No. 3
     • pp. 1097–1108

     • DOI for Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches
     • Optimization Online for Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches
     • OPUS for Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches
     • SSRN for Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches
122. 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

     • Vol. 34
     • No. 2
     • pp. 406–436

     • DOI for Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches
     • Optimization Online for Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches
     • OPUS for Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches
123. 2019

     Book

     Optimierung von Versorgungsnetzen. Mathematische Modellierung und Lösungstechniken

     Lars Schewe, Martin Schmidt

     Springer Spektrum, Berlin, Heidelberg

     • DOI for Optimierung von Versorgungsnetzen. Mathematische Modellierung und Lösungstechniken
124. 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

     • Vol. 73
     • No. 3
     • pp. 791–819

     • DOI for Robust optimal discrete arc sizing for tree-shaped potential networks
     • Optimization Online for Robust optimal discrete arc sizing for tree-shaped potential networks
     • OPUS for Robust optimal discrete arc sizing for tree-shaped potential networks
125. 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

     • Vol. 70
     • No. 1
     • pp. 267–294

     • DOI for MIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems
     • Optimization Online for MIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems
126. 2018

     Journal Article

     Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

     Volker Mehrmann, Martin Schmidt, Jeroen J. Stolwijk

     Vietnam Journal of Mathematics

     • Vol. 46
     • No. 4
     • pp. 779–801

     • DOI for Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization
     • Optimization Online for Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization
     • OPUS for Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization
127. 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

     • Vol. 30
     • No. 2
     • pp. 309–323

     • DOI for Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods
     • Optimization Online for Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods
128. 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

     • Vol. 72
     • No. 1
     • pp. 60–83

     • DOI for Towards simulation based mixed-integer optimization with differential equations
     • Optimization Online for Towards simulation based mixed-integer optimization with differential equations
     • OPUS for Towards simulation based mixed-integer optimization with differential equations
129. 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

     • Vol. 271
     • No. 1
     • pp. 165–178

     • DOI for Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks
     • Optimization Online for Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks
     • OPUS for Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks
130. 2018

     Journal Article

     Uniqueness of Market Equilibria on Networks with Transport Costs

     Vanessa Krebs, Martin Schmidt

     Operations Research Perspectives

     • Vol. 5
     • pp. 169–173

     • DOI for Uniqueness of Market Equilibria on Networks with Transport Costs
     • Optimization Online for Uniqueness of Market Equilibria on Networks with Transport Costs
     • OPUS for Uniqueness of Market Equilibria on Networks with Transport Costs
131. 2017

     Journal Article

     A Distributed Interior-Point KKT Solver for Multistage Stochastic Optimization

     Jens Hübner, Martin Schmidt, Marc C. Steinbach

     INFORMS Journal on Computing

     • Vol. 29
     • No. 4
     • pp. 612–630

     • DOI for A Distributed Interior-Point KKT Solver for Multistage Stochastic Optimization
     • Optimization Online for A Distributed Interior-Point KKT Solver for Multistage Stochastic Optimization
132. 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

     • pp. 77–122
     • Springer Singapore

     • DOI for Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications
     • OPUS for Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications
133. 2017

     Journal Article

     GasLib-A Library of Gas Network Instances

     Martin Schmidt, Denis Aßmann, Robert Burlacu, Jesco Humpola, Imke Joormann, Nikolaos Kanelakis, Thorsten Koch, Djamal Oucherif, Marc E. Pfetsch, Lars Schewe, Robert Schwarz, Mathias Sirvent

     Data

     • Vol. 2
     • No. 4
     • pp. 40

     • DOI for GasLib-A Library of Gas Network Instances
     • Online for GasLib-A Library of Gas Network Instances
     • Optimization Online for GasLib-A Library of Gas Network Instances
     • OPUS for GasLib-A Library of Gas Network Instances
134. 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

     • Vol. 46
     • No. 3
     • pp. 191–225

     • Optimization Online for Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks
     • OPUS for Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks
135. 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

     • Vol. 27
     • No. 3
     • pp. 1611–1636

     • DOI for Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps
     • Optimization Online for Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps
     • arXiv for Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps
136. 2017

     Journal Article

     Uniqueness of market equilibrium on a network: A peak-load pricing approach

     Veronika Grimm, Lars Schewe, Martin Schmidt, Gregor Zöttl

     European Journal of Operational Research

     • Vol. 261
     • No. 3
     • pp. 971–983

     • DOI for Uniqueness of market equilibrium on a network: A peak-load pricing approach
     • Optimization Online for Uniqueness of market equilibrium on a network: A peak-load pricing approach
137. 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

     • Vol. 83
     • No. 3
     • pp. 409–444

     • DOI for Computational optimization of gas compressor stations: MINLP models versus continuous reformulations
     • Optimization Online for Computational optimization of gas compressor stations: MINLP models versus continuous reformulations
138. 2016

     Journal Article

     High detail stationary optimization models for gas networks: validation and results

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

     Optimization and Engineering

     • Vol. 17
     • No. 2
     • pp. 437–472

     • DOI for High detail stationary optimization models for gas networks: validation and results
     • Optimization Online for High detail stationary optimization models for gas networks: validation and results
139. 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

     • Vol. 254
     • No. 2
     • pp. 493–509

     • DOI for Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes
     • Optimization Online for Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes
140. 2015

     Journal Article

     An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness

     Martin Schmidt

     EURO Journal on Computational Optimization

     • Vol. 3
     • No. 4
     • pp. 309–348

     • DOI for An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness
141. 2015

     Book Chapter

     An MPEC based heuristic

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

     Evaluating Gas Network Capacities

     • pp. 163–179
     • SIAM

     • DOI for An MPEC based heuristic
142. 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

     • pp. 233–270
     • SIAM

     • DOI for Computational results for validation of nominations
143. 2015

     Journal Article

     High detail stationary optimization models for gas networks

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

     Optimization and Engineering

     • Vol. 16
     • No. 1
     • pp. 131–164

     • DOI for High detail stationary optimization models for gas networks
144. 2015

     Journal Article

     Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken

     Pia Domschke, Martin Groß, Falk Hante, Benjamin Hiller, Lars Schewe, Martin Schmidt

     gwf-Gas|Erdgas

     • Vol. 156
     • No. 11
     • pp. 880–885

     • Online for Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken
145. 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

     • pp. 17–43
     • SIAM

     • DOI for Physical and technical fundamentals of gas networks
146. 2015

     Journal Article

     Solving power-constrained gas transportation problems using an MIP-based alternating direction method

     Björn Geißler, Antonio Morsi, Lars Schewe, Martin Schmidt

     Computers & Chemical Engineering

     • Vol. 82
     • pp. 303–317

     • DOI for Solving power-constrained gas transportation problems using an MIP-based alternating direction method
147. 2015

     Book Chapter

     The precise NLP model

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

     Evaluating Gas Network Capacities

     • pp. 181–210
     • SIAM

     • DOI for The precise NLP model
148. 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

     • Vol. 30
     • No. 1
     • pp. 15–53

     • DOI for Validation of nominations in gas network optimization: models, methods, and solutions
149. 2015

     Book Chapter

     What does “feasible” mean?

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

     Evaluating Gas Network Capacities

     • pp. 211–232
     • SIAM

     • DOI for What does “feasible” mean?
150. 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

     • Vol. 5
     • No. 3
     • pp. 449–473

     • DOI for Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets
151. 2013

     Thesis

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

     Martin Schmidt

     Leibniz Universität Hannover

152. 2013

     Book Chapter

     A Primal Heuristic for Nonsmooth Mixed Integer Nonlinear Optimization

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

     Facets of Combinatorial Optimization

     • pp. 295–320
     • Springer Berlin Heidelberg

     • DOI for A Primal Heuristic for Nonsmooth Mixed Integer Nonlinear Optimization
153. Mar 2012

     Journal Article

     Web-2.0-basiertes E-Learning in der Trainerausbildung

     Martin Schmidt, Markus Söhngen

     Leistungssport

     • pp. 24–29
154. 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

     • pp. 105–114

     • OPUS for Optimierung Technischer Kapazitäten in Gasnetzen
155. 2011

     Book Chapter

     Using the Inhomogeneous Simultaneous Approximation Problem for Cryptographic Design

     Frederik Armknecht, Carsten Elsner, Martin Schmidt

     Progress in Cryptology – AFRICACRYPT 2011

     • pp. 242–259
     • Springer Berlin / Heidelberg

     • DOI for Using the Inhomogeneous Simultaneous Approximation Problem for Cryptographic Design
156. Feb 2010

     Journal Article

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

     Martin Schmidt, Frank Vohle

     Trainerbrief

     • pp. 20–26
157. Jun 2009

     Journal Article

     E-Learning: TTVN nutzt Web 2.0 in der Trainerausbildung

     Martin Schmidt, Markus Söhngen

     LSB-Magazin des LandesSportBund Niedersachsen

     • pp. 14
158. Mar 2009

     Journal Article

     E-Learning. Die Zukunft hat begonnen

     Martin Schmidt, Markus Söhngen

     tischtennis

     • pp. 42
159. 2009

     Preprint

     KronCrypt - A New Symmetric Cryptosystem Based on Kronecker's Approximation Theorem

     Carsten Elsner, Martin Schmidt

     • Online for KronCrypt - A New Symmetric Cryptosystem Based on Kronecker's Approximation Theorem
160. Dec 2008

     Preprint

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

     Martin Schmidt

     FHDW Hannover

     • Forschungsberichte der FHDW Hannover
     • No. 02008/02
161. 2008

     Journal Article

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

     Martin Schmidt

     Trainerbrief

     • pp. 4–11
162. 2008

     Thesis

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

     Martin Schmidt

     Leibniz Universität Hannover

     • Diplomarbeit
163. 2007

     Journal Article

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

     Martin Schmidt

     Trainerbrief

     • pp. 4–11
164. 2003

     Journal Article

     Erwartungen eines Spielers an seinen Coach

     Martin Schmidt

     Tischtennis Lehre

     • pp. 14–17
165. —

     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

     • Studienarbeit

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