Publications
Google Scholar | ORCID 0000-0001-6208-5677 | Co-Authors
Submitted Work / Preprints
On Coupling Constraints in Pessimistic Linear Bilevel Optimization
Jointly with Dorothee Henke, Henri Lefebvre, and Johannes Thürauf
Preprint (2/2025): Optimization Online, arXivSolving Decision-Dependent Robust Problems as Bilevel Optimization Problems
Jointly with Henri Lefebvre, Simon Stevens, and Johannes Thürauf
Preprint (2/2025): Optimization Online, arXivComputing Counterfactual Explanations for Linear Optimization: A New Class of Bilevel Models and a Tailored Penalty Alternating Direction Method
Jointly with Henri Lefebvre
Preprint (12/2024): Optimization OnlineMixed-Integer Bilevel Optimization with Nonconvex Quadratic Lower-Level Problems: Complexity and a Solution Method
Jointly with Immanuel Bomze and Andreas Horländer
Preprint (12/2024; last update 2/2025): Optimization OnlineComputational Methods for the Household Assignment Problem
Jointly with Ulf Friedrich, Lucas Moschen, and Ralf Münnich
Preprint (7/2024, last update: 10/2024): Optimization OnlineBOBILib: Bilevel Optimization (Benchmark) Instance Library
Jointly with Johannes Thürauf, Thomas Kleinert, Ivana Ljubic, and Ted Ralphs
Preprint (7/2024): Optimization Online
Website of the library: https://bobilib.orgExact Augmented Lagrangian Duality for Nonconvex Mixed-Integer Nonlinear Optimization
Jointly with Henri Lefebvre
Preprint (7/2024): Optimization OnlineA Toll-Setting Problem with Robust Wardrop Equilibrium Conditions Under Budgeted Uncertainty
Jointly with Yasmine Beck and Martine Labbé
Preprint (7/2024): Optimization OnlineA Heuristic for Complementarity Problems Using Difference of Convex Functions
Jointly Steven A. Gabriel, Dominic Flocco, Trine K. Boomsma, and Miguel A. Lejeune
Preprint (6/2024)Stabilizing GNEP-Based Model Predictive Control: Quasi-GNEPs and End Constraints
Jointly with Falk M. Hante and Antonia Topalovic
Preprint (6/2024): Optimization Online, TRR 154 Preprint ServerUsing Disjunctive Cuts in a Branch-and-Cut Method to Solve Convex Integer Nonlinear Bilevel Problems
Jointly with Andreas Horländer and Ivana Ljubic
Preprint (3/2024): Optimization OnlineMixed-Integer Linear Optimization for Semi-Supervised Optimal Classification Trees
Jointly with Jan Pablo Burgard and Maria Eduarda Pinheiro
Preprint (1/2024): Optimization Online, arXivUsing Column Generation in Column-and-Constraint Generation for Adjustable Robust Optimization
Jointly with Henri Lefebvre and Johannes Thürauf
Preprint (10/2023): Optimization OnlineLearning the Follower's Objective Function in Sequential Bilevel Games
Jointly with Ioana Molan and Johannes Thürauf
Preprint (8/2023, last update: 2/2025): Optimization OnlineA PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport
Jointly Veronika Grimm, Michael Hintermüller, Olivier Huber, Lars Schewe, and Gregor Zöttl
Preprint (11/2021, last update 3/2023): TRR 154 Preprint Server, Optimization Online
Books and Publicly Available Lecture Notes
(Off-Topic 😉) Bessere Fotos: Bilder diskutieren, verstehen und verbessern
Jointly with Thomas Kleinert. mitp. 2022. ISBN: 3747504558A Gentle and Incomplete Introduction to Bilevel Optimization
Lectures notes. Jointly with Yasmine Beck
Publicly available version (last update: 7/2023): Optimization Online, TRR 154 Preprint ServerOptimierung von Versorgungsnetzen. Mathematische Modellierung und Lösungstechniken
Jointly with Lars Schewe. Springer Spektrum, Berlin, Heidelberg. 2019. ISBN: 978-3-662-58538-2. DOI: 10.1007/978-3-662-58539-9
Corresponding GitHub repository
Journal Articles
Relax and penalize: a new bilevel approach to mixed-binary hyperparameter optimization
Jointly with Sara Venturini, Marianna De Santis, Jordan Patracone, Francesco Rinaldi, and Saverio Salzo
In: Transactions on Machine Learning Research. URL: https://openreview.net/forum?id=A1R1cQ93Cb
Preprint (last: update: 8/2023): arXivMixed-Integer Linear Optimization for Cardinality-Constrained Random Forests
Jointly with Jan Pablo Burgard and Maria Eduarda Pinheiro
Accepted for publication (2/2025) in Optimization Letters. DOI: 10.1007/s11590-025-02191-8
Preprint (last update: 1/2025): Optimization Online, arXivAdjustable Robust Nonlinear Network Design Without Controllable Elements under Load Scenario Uncertainties
Jointly with Johannes Thürauf and Julia Grübel
Accepted for publication (2/2025) in Mathematical Programming (Series B)
Preprint (3/2024, last update 1/2025): Optimization OnlineHeuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems
Jointly with Yasmine Beck and Ivana Ljubic
Accepted for publication (1/2025) in INFORMS Journal on Computing
Preprint (4/2024, last update: 1/2025): Optimization OnlineConnections between Robust and Bilevel Optimization
Jointly with Marc Goerigk, Jannis Kurtz, and Johannes Thürauf
In: Open Journal of Mathematical Optimization. 2025. DOI: 10.5802/ojmo.38. Volume 6. Number 2, Pages 1-17
Preprint (6/2023; last update 11/2024): Optimization Online, TRR 154 Preprint ServerOn a Tractable Single-Level Reformulation of a Multilevel Model of the European Entry-Exit Gas Market with Market Power
Jointly with Veronika Grimm, Julia Grübel, Alexandra Schwartz, Ann-Kathrin Wiertz, and Gregor Zöttl
Accepted for publication (10/2024) in Journal of Global Optimization.
Preprint (11/2023; last update 9/2024): Optimization Online, TRR 154 Preprint ServerOn Coupling Constraints in Linear Bilevel Optimization
Jointly with Dorothee Henke, Henri Lefebvre, and Johannes Thürauf
In: Optimization Letters. 2024. DOI: 10.1007/s11590-024-02156-3.
Preprint (2/2024; last update 6/2024): Optimization Online, arXivA Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
Jointly with Leonhard Frerick, Georg Müller-Fürstenberger, and Max Späth
In: Networks and Spatial Economics. DOI: 10.1007/s11067-024-09636-0. Volume 24, Number 4. Pages 869-896.
Preprint (5/2022; last update: 6/2024): Optimization Online, SSRNAn Exact Method for Nonlinear Network Flow Interdiction Problems
Jointly with Johannes Thürauf
In SIAM Journal in Optimization. 2024. DOI: 10.1137/22M152983X. Volume 34, Number 4, Pages 3623-3652.
Preprint (10/2022; last update 11/2023): Optimization Online, TRR 154 Preprint ServerA Tutorial on Solving Single-Leader-Multi-Follower Problems using SOS1 Reformulations
Jointly with Didier Aussel and Cécile Egea
In: International Transactions in Operational Research. 2025. DOI: 10.1111/itor.13466. Volume 32, Number 3, Pages 1227-1250
Preprint (7/2023, last update 2/2024): Optimization OnlineMixed-Integer Quadratic Optimization and Iterative Clustering Techniques for Semi-Supervised Support Vector Machines
In: TOP. Online first. DOI: 10.1007/s11750-024-00668-w.
Jointly with Jan Pablo Burgard and Maria Eduarda Pinheiro
Preprint (3/2023, last update 10/2023): Optimization Online, arXivOn the Relation Between Affinely Adjustable Robust Linear Complementarity and Mixed-Integer Linear Feasibility Problems
Jointly with Christian Biefel
In: Optimization Letters. 2024. DOI: 10.1007/s11590-023-02093-7.
Preprint (8/2022; last update 6/2023): Optimization Online, arXivExact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems
Jointly with Diego Cattaruzza, Martine Labbé, Matteo Petris, and Marius Roland
In: INFORMS Journal of Computing. 2024. DOI: 10.1287/ijoc.2022.0105.
Preprint (11/2021; last update: 1/2023): Optimization Online, TRR 154 Preprint ServerA Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems
Jointly with Richard Krug, Günter Leugering, Alexander Martin, and Dieter Weninger
In: INFORMS Journal of Computing. 2023. DOI: 10.1287/ijoc.2022.0319
Preprint (10/2022; last update: 8/2023): Optimization Online, TRR 154 Preprint ServerA Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
Accepted for publication (6/2023) in the Journal of Optimization Theory and Applications. DOI: 10.1007/s10957-023-02254-9
Jointly with Julia Grübel, Richard Krug, and Winnifried Wollner
Preprint (8/2022, last update: 3/2023): Optimization Online, TRR 154 Preprint Server, arXivAdaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
Jointly with Hannes Dänschel, Volker Mehrmann, and Marius Roland
In: SeMA journal. DOI: 10.1007/s40324-023-00332-6.
Preprint (1/2022, last update: 5/2023): Optimization Online, TRR 154 Preprint Server, arXivExact Methods for Discrete Γ-Robust Interdiction Problems with an Application to the Bilevel Knapsack Problem
Jointly with Yasmine Beck and Ivana Ljubic
In: Mathematical Programming Computation. 2023. DOI: 10.1007/s12532-023-00244-6.
Preprint (11/2021, last update: 4/2023): Optimization Online, TRR 154 Preprint ServerOn a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level
Jointly with Yasmine Beck, Johannes Thürauf, and Daniel Bienstock
In: Journal of Optimization Theory and Applications. 2023. Online first. DOI: 10.1007/s10957-023-02238-9.
Preprint (2/2022; last update 5/2023): Optimization Online, TRR 154 Preprint Server, arXivA Brief Introduction to Robust Bilevel Optimization
Jointly with Yasmine Beck and Ivana Ljubic
In: SIAG on Optimization Views and News. A Forum for the SIAM Activity Group on Optimization. 2022. Volume 30. Number 2. Pages 1-10
Preprint (11/2022; last update: 1/2023): Optimization Online, arXivA Survey on Bilevel Optimization Under Uncertainty
Jointly with Yasmine Beck and Ivana Ljubic
In: European Journal on Operational Research. 2023. DOI: 10.1016/j.ejor.2023.01.008.
Preprint (6/2022, last update: 10/2022): Optimization Online, TRR145 Preprint ServerWhy there is no need to use a big-M in linear bilevel optimization: A computational study of two ready-to-use approaches
Jointly with Thomas Kleinert
In: Computational Management Science. 2023. DOI: 10.1007/s10287-023-00435-5. Online first.
Preprint (10/2020; last update 7/2021): Optimization Online, TRR 154 Preprint ServerUsing Neural Networks to Solve Linear Bilevel Problems with Unknown Lower Level
Jointly with Ioana Molan
In Optimization Letters. 2023. DOI: 10.1007/s11590-022-01958-7.
Preprint (7/2022; last update 10/2022): Optimization Online, TRR 154 Preprint ServerMixed-Integer Programming Techniques for the Minimum Sum-of-Squares Clustering Problem
Jointly with Jan Pablo Burgard, Carina Moreira Costa, Christopher Hojny, and Thomas Kleinert
In: Journal of Global Optimization. 2023. DOI: 10.1007/s10898-022-01267-4. Online first.
Preprint (3/2022, last update: 11/2022): Optimization OnlineTime-Domain Decomposition for Mixed-Integer Optimal Control Problems
Jointly with Falk M. Hante and Richard Krug
In: Applied Mathematics & Optimization. 2023. DOI: 10.1007/s00245-022-09949-x. Online first.
Preprint (8/2021; last update: 11/2022): TRR 154 Preprint Server, Optimization OnlineHochschullehre in der Mathematik - ein wissenschaftsdidaktisches Gespräch
Jointly with Gabi Reinmann and Frank Vohle
In: Impact Free. 48. September 2022Quo vadis, Entry-Exit-System?
Jointly with Johannes Thürauf
In: gwf-Gas|Erdgas, 7-8/2022. Pages 60-67. ISSN 2366-9594.Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to Determine the Existence of an Equilibrium
Jointly with Julia Grübel, Olivier Huber, Lukas Hümbs, Max Klimm, and Alexandra Schwartz
In: Optimization Methods and Software. 2023. DOI: 10.1080/10556788.2022.2117358. Volume 39. Number 1. Pages 153-183.
Preprint (5/2021; last update 3/2022): TRR 154 Preprint Server, Optimization OnlineRobustification of the k-Means Clustering Problem and Tailored Decomposition Methods: When More Conservative Means More Accurate
Jointly with Jan Pablo Burgard and Carina Moreira Costa
In: Annals of Operations Research. 2022. DOI: 10.1007/s10479-022-04818-w.
Preprint (5/2020; last update: 4/2022): Optimization OnlineA Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems
Jointly with Marianna de Santis, Sven de Vries, and Lukas Winkel
In: INFORMS Journal on Computing. DOI: 10.1287/ijoc.2022.1216
Preprint (7/2021; last update 5/2022): TRR 154 Preprint Server, Optimization OnlineAn Alternating Method for Cardinality-Constrained Optimization: A Computational Study for the Best Subset Selection and Sparse Portfolio Problem
Jointly with Carina Moreira Costa and Dennis Kreber
In: INFORMS Journal on Computing. 2022. DOI: 10.1287/ijoc.2022.1211.
Preprint (11/2020; last update 1/2022): Optimization OnlineOn Convex Lower-Level Black-Box Constraints in Bilevel Optimization with an Application to Gas Market Models with Chance Constraints
Jointly with Holger Heitsch, René Henrion, and Thomas Kleinert
In: Journal of Global Optimization. 2022. Online first. DOI: 10.1007/s10898-022-01161-z
Preprint (2/2021; last update: 3/2022): TRR 154 Preprint Server, Optimization OnlineOn Linear Bilevel Optimization Problems with Complementarity-Constrained Lower Levels
In: Journal of the Operational Research Society. 2021. DOI: 10.1080/01605682.2021.2015254
Jointly with Steven A. Gabriel and Marina Leal
Preprint (10/2020; last update 7/2021): Optimization Online, TRR 154 Preprint ServerAffinely Adjustable Robust Linear Complementarity Problems
In: SIAM Journal on Optimization. 2022. DOI: 10.1137/20M1359778. Volume 32, Number 1, Pages 152-172
Jointly with Christian Biefel, Frauke Liers, and Jan Rolfes
Preprint (8/2020; last update 4/2021): Optimization Online, TRR 154 Preprint Server, arXivPresolving Linear Bilevel Optimization Problems
In: EURO Journal on Computational Optimization. 2021. Volume 9. DOI: 10.1016/j.ejco.2021.100020. ISSN 2192-4406
Jointly with Thomas Kleinert, Julian Manns, and Dieter Weninger
Preprint (2/2021; last update 7/2021): TRR 154 Preprint Server, Optimization OnlineTime-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions
Accepted for publication (11/2021) in Control and Cybernetics
Jointly with Richard Krug, Günter Leugering, Alexander Martin, and Dieter Weninger
Preprint (7/2021): TRR 154 Preprint Server, Optimization OnlineThe Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities
In: Optimization Letters. 2021. DOI: 10.1007/s11590-021-01827-9. Online first
Jointly with Mathias Sirvent and Winnifried Wollner
Preprint (4/2018, last update: 10/2021): Optimization Online, TRR 154 Preprint Server
Code: GitHubGlobal Optimization for the Multilevel European Gas Market System with Nonlinear Flow Models on Trees
In: Journal of Global Optimization. DOI: 10.1007/s10898-021-01099-8
Jointly with Lars Schewe and Johannes Thürauf
Preprint (8/2020; last update 9/2021): Optimization Online, TRR 154 Preprint ServerA Tractable Multi-Leader Multi-Follower Peak-Load-Pricing Model with Strategic Interaction
In: Mathematical Programming. 2022. Volume 195. Number 1. Pages 605-647. DOI: 10.1007/s10107-021-01708-0.
Jointly with Veronika Grimm, Daniel Nowak, Lars Schewe, Alexandra Schwartz, and Gregor Zöttl
Preprint (7/2020; last update 9/2021): Optimization Online, SSRN, TRR 154 Preprint ServerStrictly and Γ-Robust Counterparts of Electricity Market Models: Perfect Competition and Nash-Cournot Equilibria
In: Operations Research Perspectives. 2021. Volume 8. Pages 100197. DOI: 10.1016/j.orp.2021.100197. ISSN: 2214-7160
Jointly with Anja Kramer and Vanessa Krebs
Preprint (6/2018; last update 7/2021): Optimization Online, TRR 154 Preprint ServerMathematik-Vorlesungen neu denken: Vom didaktischen Design zu Design-Based Research
In: Impact Free. 39. August 2021
Jointly with Frank VohleA Bilevel Optimization Approach to Decide the Feasibility of Bookings in the European Gas Market
In: Mathematical Methods of Operations Research. 2021. DOI: 10.1007/s00186-021-00752-y
Jointly with Fränk Plein, Johannes Thürauf, and Martine Labbé
Preprint (1/2021): Optimization Online, TRR 154 Preprint Server
Johannes Thürauf won the GOR Young Researchers Award 2023 for this paper.A Robust Approach for Modeling Limited Observability in Bilevel Optimization
In: Operations Research Letters. 2021. 49(5). Pages 752-758. ISSN: 0167-6377. DOI: 10.1016/j.orl.2021.07.010.
Jointly with Yasmine Beck
Preprint (1/2021; last update 4/2021): Optimization Online, TRR 154 Preprint ServerA Survey on Mixed-Integer Programming Techniques in Bilevel Optimization
In: EURO Journal on Computational Optimization. 2021. DOI: 10.1016/j.ejco.2021.100007
Jointly with Thomas Kleinert, Martine Labbé, and Ivana Ljubic
Preprint (1/2021; last update 4/2021): Optimization Online, TRR 154 Preprint ServerTime-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems
Accepted for publication (7/2021) in SIAM Journal on Control and Optimization
Jointly with Richard Krug, Günter Leugering, Alexander Martin, and Dieter Weninger
Preprint (11/2020; last update 7/2021): Optimization Online, TRR 154 Preprint ServerThe Cost of Decoupling Trade and Transport in the European Entry-Exit Gas Market with Linear Physics Modeling
In: European Journal of Operational Research. 2021. Online first. DOI: 10.1016/j.ejor.2021.06.034
Jointly with Tom Böttger, Veronika Grimm, and Thomas Kleinert
Preprint (6/2020; last update 4/2021): Optimization Online, TRR 154 Preprint ServerComplementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents
In: Computational Economics. 2021. Online first. DOI: 10.1007/s10614-021-10181-y
Jointly with Leonhard Frerick, Georg Müller-Fürstenberger, and Max Späth
Preprint (7/2020; last update 5/2021): Optimization Online, SSRNΓ-Robust Linear Complementarity Problems with Ellipsoidal Uncertainty Sets
In: International Transactions in Operational Research. 2022. 29(1). Pages 417-441. DOI: 10.1111/itor.12988
Jointly with Vanessa Krebs and Michael Müller
Preprint (10/2019; last update 3/2021): Optimization Online, TRR Preprint ServerExtensions of the SEIR Model for the Analysis of Tailored Social Distancing and Tracing Approaches to Cope with COVID-19
In: Nature Scientific Reports. 2021. 11(1). DOI: 10.1038/s41598-021-83540-2
Jointly with Veronika Grimm and Friederike Mengel
Preprint (4/2020; last update 12/2020): medRxivSolving Binary-Constrained Mixed Complementarity Problems Using Continuous Reformulations
In: Computers & Operations Research. Volume 131. 2021. Pages 105208. ISSN 0305-0548. DOI: 10.1016/j.cor.2020.105208
Jointly with Steven A. Gabriel and Marina Leal
Preprint (2/2020; last update 11/2020): Optimization Online, TRR 154 Preprint ServerOuter Approximation for Global Optimization of Mixed-Integer Quadratic Bilevel Problems
In: Mathematical Programming (Series B). Online first. ISBN: 1436-4646. DOI: 10.1007/s10107-020-01601-2.
Jointly with Thomas Kleinert and Veronika Grimm
Preprint (12/2019, last update: 11/2020): TRR 154 Preprint Server, Optimization OnlineThe Impact of Neighboring Markets on Renewable Locations, Transmission Expansion, and Generation Investment
Jointly with Jonas Egerer, Veronika Grimm, Thomas Kleinert, and Gregor Zöttl
Accepted for publication (11/2020) in European Journal of Operational Research.
Preprint (12/2019; last update 10/2020): Optimization Online, TRR 154 Preprint Server, SSRNClosing the Gap in Linear Bilevel Optimization: A New Valid Primal-Dual Inequality
Jointly with Thomas Kleinert, Martine Labbé, and Fränk Plein
In: Optimization Letters. Volume 15. Pages 1027–1040. 2021. DOI: 10.1007/s11590-020-01660-6
Preprint (6/2020; last update 9/2020): Optimization Online, TRR 154 Preprint Server, Preprint Server ULB, Inria Preprint ServerΓ-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments
Jointly with Emre Çelebi and Vanessa Krebs
In: Energy Systems. Online first. 2021. DOI: 10.1007/s12667-020-00411-x
Preprint (1/2020; last update: 10/2020): Optimization Online, TRR 154 Preprint ServerDeciding feasibility of a booking in the European gas market on a cycle is in P for the case of passive networks
Jointly with Martine Labbé, Fränk Plein, and Johannes Thürauf
In: Networks. Online first. 2021. DOI: 10.1002/net.22003
Preprint (11/2019; last update: 10/2020): Optimization Online, TRR Preprint Server, ULB Preprint Server, HAL-INRIA Preprint ServerΓ-Robust Linear Complementarity Problems
Jointly with Vanessa Krebs
In: Optimization Methods and Software. 2022. Volume 37, Number 2, Pages 658 - 691. DOI: 10.1080/10556788.2020.1825708
Preprint (3/2019; last update 2/2020): Optimization Online, TRR Preprint ServerMixed-Integer Nonlinear Optimization for District Heating Network Expansion
Jointly with Marius Roland
Accepted for publication (9/2020) in at - Automatisierungstechnik. DOI: 10.1515/auto-2020-0063
Preprint (4/2020; last update 9/2020): Optimization Online, TRR 154 Preprint ServerPortfolio Optimization with Irreversible Long-Term Investments in Renewable Energy under Policy Risk: A Mixed-Integer Multistage Stochastic Model and a Moving-Horizon-Approach
Jointly with Nadine Gatzert, Alexander Martin, Benjamin Seith, and Nikolai Vogl
In: European Journal of Operational Research. 2020. DOI: 10.1016/j.ejor.2020.08.033
Preprint (6/2019; last update 8/2020): Optimization Online, TRR Preprint ServerOptimal Design of Retailer-Prosumer Electricity Tariffs Using Bilevel Optimization
Jointly with Veronika Grimm, Galina Orlinskaya, Lars Schewe, and Gregor Zöttl
In: Omega. 2021. Volume 102. Pages 102327. ISSN: 0305-0483. DOI: 10.1016/j.omega.2020.102327
Preprint (7/2019; last update: 8/2020): Optimization Online, TRR Preprint ServerNonlinear Optimization of District Heating Networks
Jointly with Richard Krug and Volker Mehrmann
In: Optimization and Engineering. 2021. 22(2). Pages 783-819. DOI: 10.1007/s11081-020-09549-0.
Preprint (10/2019; last update 4/2020): Optimization Online, TRR Preprint Server, arXivEndogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning
Jointly with Mirjam Ambrosius, Veronika Grimm, Thomas Kleinert, Frauke Liers, and Gregor Zöttl
In: Energy Economics. 2020. Volume 92. DOI: 10.1016/j.eneco.2020.104879
Preprint (10/2018; last update 1/2020): Optimization Online, TRR Preprint Server, SSRNComputing Technical Capacities in the European Entry-Exit Gas Market is NP-Hard
Jointly with Lars Schewe and Johannes Thürauf
In: Annals of Operations Research. 2020. Volume 295. Pages 337-362. DOI: 10.1007/s10479-020-03725-2
Preprint (1/2020, last update: 8/2020): TRR 154 Preprint Server, Optimization OnlineMixed-Integer Programming Techniques for the Connected Max-k-Cut Problem
Jointly with Christopher Hojny, Imke Joormann, and Hendrik Lüthen
In: Mathematical Programming Computation. DOI: 10.1007/s12532-020-00186-3
Preprint (7/2018; last update 6/2019): Optimization Online, TRR 154 Preprint ServerA Decomposition Heuristic for Mixed-Integer Supply Chain Problems
Jointly with Lars Schewe and Dieter Weninger
In: Operations Research Letters. Vol. 48, Nr. 3. Pages 225-232. DOI: 10.1016/j.orl.2020.02.006. ISSN: 0167-6377
Preprint (3/2019; last update: 2/2020): Optimization Online, TRR Preprint ServerOptimization Techniques for Tree-Structured Nonlinear Problems
Jointly with Jens Hübner and Marc C. Steinbach
In: Computational Management Science. Vol. 17, Nr. 3. Pages 409-436. DOI: 10.1007/s10287-020-00362-9
Preprint (2/2017; last update 5/2019): Optimization OnlineComputing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method
Jointly with Thomas Kleinert
In: INFORMS Journal on Computing. Volume 33, Number 1, Pages 198-215. DOI: 10.1287/ijoc.2019.0945
Preprint (3/2019; last update 11/2019): Optimization Online, TRR Preprint Server
The data supplement for this paper can be found at GitHub.Modeling Hydrogen Networks for Future Energy Systems: A Comparison of Linear and Nonlinear Approaches
Jointly with Markus Reuß, Lara Welder, Johannes Thürauf, Jochen Linßen, Thomas Grube, Lars Schewe, Detlef Stolten, and Martin Robinius
In: International Journal of Hydrogen Energy. Online first. ISSN: 0360-3199. DOI: 10.1016/j.ijhydene.2019.10.080
Preprint (8/2019): engrXiv. DOI: 10.31224/osf.io/hsjmeOn Electricity Market Equilibria with Storages: Modeling, Uniqueness, and a Distributed ADMM
Jointly with Julia Grübel, Thomas Kleinert, Vanessa Krebs, Galina Orlinskaya, Lars Schewe, and Johannes Thürauf
In: Computers & Operations Research. Vol. 114. 2020. DOI: 10.1016/j.cor.2019.104783. ISSN: 0305-0548
Preprint (3/2019; last update 7/2019): Optimization Online, TRR Preprint ServerThere's No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization
Jointly with Thomas Kleinert, Martine Labbé, and Fränk Plein
In: Operations Research. 68(6). 2020. Pages 1716-1721. DOI: 10.1287/opre.2019.1944
Preprint (4/2019; last update: 8/2019): Optimization Online, TRR Preprint Server, ULB Preprint Server, HAL-INRIA Preprint ServerConvergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations
Jointly with Falk M. Hante
To appear in in Control and Cybernetics. 48(2). 2019. Pages 209-230
Preprint (12/2018; last update 3/2019): Optimization Online, TRR Preprint ServerStructural Properties of Feasible Bookings in the European Entry-Exit Gas Market System
Jointly with Lars Schewe and Johannes Thürauf
In: 4OR. 2020. Volume 18. Pages: 197-218. DOI: 10.1007/s10288-019-00411-3
Preprint (9/2018; last update 6/2019): Optimization Online, TRR 154 Preprint ServerBookings in the European Gas Market: Characterisation of Feasibility and Computational Complexity Results
Jointly with Martine Labbé and Fränk Plein
In: Optimization and Engineering. 2020. Volume 21. Number 1. Pages 305-334. ISSN: 1573-2924. DOI: 10.1007/s11081-019-09447-0
Preprint (12/2018; last update 6/2019): Optimization Online, TRR Preprint Server, ULB Preprint ServerComplementarity-based nonlinear programming techniques for optimal mixing in gas networks
Jointly with Falk M. Hante
In: EURO Journal on Computational Optimization. 2019. Volume 7. Issue 3. Pages 299-323. ISSN: 2192-4414. DOI: 10.1007/s13675-019-00112-w
Preprint (9/2017; last update: 6/2018): Optimization Online, TRR 154 Preprint ServerGlobal Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning
Jointly with Thomas Kleinert
In: Discrete Optimization. 2019. 33. Pages: 43-69. ISSN: 1572-5286. DOI: 10.1016/j.disopt.2019.02.002
Preprint (2/2018; last update: 10/2018): Optimization Online, TRR 154 Preprint ServerThe Impact of Potential-Based Physics Models on Pricing in Energy Networks
Jointly with Lars Schewe
In: Central European Journal of Operations Research. 2020. 28(3). Pages: 1003-1029. DOI: 10.1007/s10100-019-00616-1
Preprint (7/2015; last update: 11/2018): SSRN, TRR 154 Preprint Server, Optimization Online
GAMS source code files: zip archiveRobust Optimal Discrete Arc Sizing for Tree-Shaped Potential Networks
Jointly with Martin Robinius, Lars Schewe, Detlef Stolten, Johannes Thürauf, and Lara Welder
In: Computational Optimization and Applications. 2019. 73(3). Pages 791-819. ISSN: 1573-2894. DOI: 10.1007/s10589-019-00085-x
Preprint (2/2018; last update: 11/2018): Optimization Online, TRR 154 Preprint ServerAlgorithmic Results for Potential-Based Flows: Easy and Hard Cases
Jointly with Martin Groß, Marc E. Pfetsch, Lars Schewe, and Martin Skutella
In: Networks. 2019. 73(3). Pages 306-324. DOI: 10.1002/net.21865
Preprint (8/2017; last update 5/2018): Optimization Online, TRR 154 Preprint ServerNonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches
Jointly with Veronika Grimm, Julia Grübel, Lars Schewe, and Gregor Zöttl
In: European Journal on Operational Research. 2019. 273(3). ISSN 0377-2217. Pages 1097-1108. DOI: 10.1016/j.ejor.2018.09.016
Preprint (11/2017; last update: 7/2018): TRR 154 Preprint Server, Optimization Online, SSRNA Multilevel Model of the European Entry-Exit Gas Market
Jointly with Veronika Grimm, Lars Schewe, and Gregor Zöttl
In: Mathematical Methods of Operations Research. 2019. 89(2). DOI: 10.1007/s00186-018-0647-z. ISSN 1432-5217. Pages 223-255
Preprint (5/2017; last update: 4/2018): Optimization Online, TRR 154 Preprint ServerModel and Discretization Error Adaptivity within Stationary Gas Transport Optimization
Jointly with Volker Mehrmann and Jeroen J. Stolwijk
In: Vietnam Journal of Mathematics. 2018. 46(4). DOI: 10.1007/s10013-018-0303-1. ISSN 2305-2228. Pages 779-801.
Preprint (12/2017): Optimization Online. TRR 154 Preprint ServerA Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities
Jointly with Mathias Sirvent and Winnifried Wollner
In: Mathematical Programming. 2019. 178(1). Pages 449-483. ISSN: 1436-4646. DOI: 10.1007/s10107-018-1309-x
Preprint (7/2017; last update 6/2018): Optimization Online, TRR 154 Preprint ServerComputing Feasible Points for Binary MINLPs with MPECs
Jointly with Lars Schewe
In: Mathematical Programming Computation. 2019. 11(1). DOI: 10.1007/s12532-018-0141-x. Pages 95-118. ISSN: 1867-2957
Preprint (12/2016, last update 6/2018): Optimization Online, TRR Preprint ServerUniqueness of Market Equilibria on Networks with Transport Costs
Jointly with Vanessa Krebs
In: Operations Research Perspectives. 2018. 5. DOI: 10.1016/j.orp.2018.05.002. Pages 169-173. ISSN: 2214-7160
Preprint (11/2017; last update 4/2018): Optimization Online, TRR 154 Preprint ServerUniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks
Jointly with Vanessa Krebs and Lars Schewe
In: European Journal on Operations Research. 2018. 271(1). Pages 165-178. DOI: 10.1016/j.ejor.2018.05.016
Preprint (10/2017; last update 5/2018): Optimization Online, TRR 154 Preprint ServerNonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks
Jointly with Günter Leugering, Alexander Martin, and Mathias Sirvent
In: Control and Cybernetics. 2017. 46(3). Pages 191-225
Preprint (11/2017): Optimization OnlineGasLib - A Library of Gas Network Instances
Jointly with Denis Aßmann, Robert Burlacu, Jesco Humpola, Imke Joormann, Nikolaos Kanelakis, Thorsten Koch, Djamal Oucherif, Marc E. Pfetsch, Lars Schewe, Robert Schwarz, and Mathias Sirvent
In: Data. 2017. 2(4). DOI: 10.3390/data2040040
Preprint (last update 11/2017): Optimization Online. TRR 154 Preprint ServerMIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems
Jointly with Martin Gugat, Günter Leugering, Alexander Martin, Mathias Sirvent, and David Wintergerst
In: Computational Optimization and Applications. 70(1). 2018. Pages 267-294. DOI: 10.1007/s10589-017-9970-1
Preprint (last update 10/2017): Optimization OnlineOptimal Price Zones of Electricity Markets: A Mixed-Integer Multilevel Model and Global Solution Approaches
Jointly with Veronika Grimm, Thomas Kleinert, Frauke Liers, and Gregor Zöttl
In: Optimization Methods and Software. 34(2). 2019. Pages 406-436. DOI: 10.1080/10556788.2017.1401069
Preprint: Optimization Online, TRR 154 Preprint ServerTowards Simulation Based Mixed-Integer Optimization with Differential Equations
Jointly with Martin Gugat, Günter Leugering, Alexander Martin, Mathias Sirvent, and David Wintergerst
In: Networks. 72(1). 2018. Pages: 60-83. DOI: 10.1002/net.21812.
Preprint (4/2017): Optimization Online, TRR Preprint ServerSolving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods
Jointly with Björn Geißler, Antonio Morsi, and Lars Schewe
In: INFORMS Journal on Computing. 30(2). 2018. Pages 309-323. DOI: 10.1287/ijoc.2017.0780
Preprint (6/2016): Optimization Online.Penalty Alternating Direction Methods for Mixed-Integer Optimization: A New View on Feasibility Pumps
Jointly with Björn Geißler, Antonio Morsi, and Lars Schewe
In: SIAM Journal on Optimization. 27(3). 2017. Pages 1611-1636. DOI: 10.1137/16M1069687
Preprint (4/2016): Optimization Online, arXiv.Uniqueness of Market Equilibrium on a Network: A Peak-Load Pricing Approach
Jointly with Veronika Grimm, Lars Schewe, and Gregor Zöttl
In: European Journal on Operational Research. 261(3). 2017. Pages 971-983. DOI: 10.1016/j.ejor.2017.03.036
Preprint (5/2016): Optimization OnlineA Distributed Interior-Point KKT-Solver for Multistage Stochastic Optimization
Jointly with Jens Hübner and Marc C. Steinbach
In: INFORMS Journal on Computing. 29(4). 2017. Pages 612-630. DOI: 10.1287/ijoc.2017.0748
Preprint (2/2016): Optimization Online
Data of the portfolio selection problems.Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes
Jointly with Veronika Grimm, Alexander Martin, Martin Weibelzahl and Gregor Zöttl
In: European Journal of Operational Research. 254(2). 2016, Pages 493-509. DOI: 10.1016/j.ejor.2016.03.044
Preprint (3/2015): Optimization OnlineComputational optimization of gas compressor stations: MINLP models versus continuous reformulations
Jointly with Daniel Rose, Marc C. Steinbach and Bernhard M. Willert
In: Mathematical Methods of Operations Research. 83(3). 2016. Pages 409 - 444. DOI: 10.1007/s00186-016-0533-5
Preprint (2/2015): Optimization OnlineHigh Detail Stationary Optimization Models for Gas Networks: Validation and Results
Jointly with Marc C. Steinbach and Bernhard M. Willert
In: Optimization and Engineering, 17(2). 2016. Pages 437-472. DOI: 10.1007/s11081-015-9300-3
Preprint: Optimization Online
Data of the computational results can be found hereMathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken
Jointly with Pia Domschke, Martin Groß, Falk Hante, Benjamin Hiller, and Lars Schewe
In: gwf-Gas|Erdgas, 11/2015. 156(11). Pages 880-885Solving power-constrained gas transportation problems using an MIP-based alternating direction method
Jointly with Björn Geißler, Antonio Morsi and Lars Schewe
In: Computers & Chemical Engineering. 2015. 82. Pages 303-317. DOI: 10.1016/j.compchemeng.2015.07.005
Preprint (11/2014): Optimization OnlineAn Interior-Point Method for Nonlinear Optimization Problems with Locatable and Separable Nonsmoothness
In EURO Journal on Computational Optimization. 2015. 3(4). Pages 309-348. DOI: 10.1007/s13675-015-0039-6
Preprint (04/2014): Optimization OnlineHigh detail stationary optimization models for gas networks
Jointly with Marc C. Steinbach and Bernhard M. Willert
In: Optimization and Engineering. 2015. 16(1). Pages 131-164. DOI: 10.1007/s11081-014-9246-x
Preprint: IfAM Preprint 94Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions
Jointly with Marc E. Pfetsch, Armin Fügenschuh, Björn Geißler, Nina Geißler, Ralf Gollmer, Benajmin Hiller, Jesco Humpola, Thorsten Koch, Thomas Lehmann, Alexander Martin, Antonio Morsi, Jessica Rövekamp, Lars Schewe, Rüdiger Schultz, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Marc C. Steinbach, Stefan Vigerske and Bernhard M. Willert
In: Optimization Methods and Software. 2015. 30(1). Pages 15-53. DOI: 10.1080/10556788.2014.888426
Preprint: ZIB Report 12-41 [pdf], Optimization OnlineMathematical optimization for challenging network planning problems in unbundled liberalized gas markets
Jointly with 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, Rüdiger Schultz, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Marc C. Steinbach and Bernhard M. Willert
In: Energy Systems. 2014. 5(3). Pages 449-473. DOI: 10.1007/s12667-013-0099-8
Preprint: ZIB Report 13-13 [pdf]
Refereed Articles in Books and Conference Volumes
A Gauss-Seidel method for solving multi-leader-multi-follower games
Accepted for publication in the proceedings of the 23rd European Control Conference (ECC25)
Jointly with Filippo Fabiani, Barbara Franci, and Mathias Staudigl
Preprint (3/2024, last update: 11/2024): arXivGas Transport Network Optimization: Mixed-Integer Nonlinear Models
Jointly with Falk Hante
In: Encyclopedia of Optimization. Edited by Panos M. Pardalos and Oleg A. Prokopyev. 2024. DOI: 10.1007/978-3-030-54621-2_873-1.
Preprint (1/2023): Optimization Online, TRR 154 Preprint ServerGas Transport Network Optimization: PDE-Constrained Models
Jointly with Falk M. Hante
In: Encyclopedia of Optimization. Edited by Panos M. Pardalos and Oleg A. Prokopyev. 2024. DOI: 10.1007/978-3-030-54621-2_872-1.
Preprint (1/2023): Optimization Online, TRR 154 Preprint ServerA Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part I: Key Ideas and a Fixed Parameter Setting
Jointly with Andreas Horländer
In: Operations Research Proceedings 2022 (edited by Grothe, Oliver and Nickel, Stefan and Rebennack, Steffen and Stein, Oliver) . DOI: 10.1007/978-3-031-24907-5_17. Pages 139-145. 2023.
Preprint (7/2022): Optimization Online, TRR 154 Preprint ServerA Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems. Part II: Penalty Updates and Numerical Results
Jointly with Andreas Horländer
In: Operations Research Proceedings 2022 (edited by Grothe, Oliver and Nickel, Stefan and Rebennack, Steffen and Stein, Oliver) . DOI: 10.1007/978-3-031-24907-5_18. Pages 147-153. 2023
Preprint (7/2022): Optimization Online, TRR 154 Preprint ServerProximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems
Jointly with Filippo Fabiani, Barbara Franci, Simone Sagratella, and Mathias Staudigl
Accepted for publication in the proceedings of the 61st IEEE Conference on Decision and Control
Preprint (3/2022): arXivFinance, Regulations, Politics and Market Design
Jointly with H. Helmberg, F. Lacalandra, C. Henriques, A. De Filippo, M. Lombardi, M. Milano, P. Ezran, Y. Haddad, M. Diekerhof, and M. Madani
Chapter in “Mathematical Optimization for Efficient and Robust Energy Networks” (edited by Natalia Selini Hadjidimitriou, Antonio Frangioni, Thorsten Koch, and Andrea Lodi). 2021. Springer International Publishing. Cham. Pages 59-75. DOI: 10.1007/978-3-030-57442-0_4. ISBN: 978-3-030-57442-0.Finance and Regulations
Jointly with F. Lacalandra
Chapter in “Mathematical Optimization for Efficient and Robust Energy Networks” (edited by Natalia Selini Hadjidimitriou, Antonio Frangioni, Thorsten Koch, and Andrea Lodi). 2021. Springer International Publishing. Cham. Pages 107-110. DOI: 10.1007/978-3-030-57442-0_7. ISBN: 978-3-030-57442-0.Port-Hamiltonian modeling of district heating networks
Jointly with Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann, Jan Mohring, Arbi Moses Badlyan, and Markus Rein
In: Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Schöps S). Differential-Algebraic Equations Forum”. DOI: 10.1007/978-3-030-53905-4_11
Preprint (8/2019; last update 3/2020): arXiv, TRR Preprint ServerCapacity Evaluation for Large-Scale Gas Networks
Jointly with Benjamin Hiller, Thorsten Koch, Marc E. Pfetsch, Björn Geißler, René Henrion, Imke Joormann, Alexander Martin, Antonio Morsi, Werner Römisch, Lars Schewe, Rüdiger Schultz, and Marc C. Steinbach
In: German Success Stories in Industrial Mathematics (edited by Hans Georg Bock, Karl-Heinz Küfer, Peter Maass, Anja Milde, and Volker Schulz), Mathematics in Industry, Springer, 2021. DOI: 10.1007/978-981-10-3758-0_5
Preprint (11/2019; last update: 2/2020): TRR Preprint ServerChallenges in optimal control problems for gas and fluid flow in networks of pipes and canals: From modeling to industrial applications
Jointly with Falk M. Hante, Günter Leugering, Alexander Martin, and Lars Schewe
In: Industrial Mathematics and Complex systems: Emerging Mathematical Models, Methods and Algorithms (Eds.: Manchanda, Pammy and Lozi, René and Siddiqi, Abul Hasan). 2017. Pages: 77-122. DOI: 10.1007/978-981-10-3758-0_5
Preprint (2016)Physical and technical fundamentals of gas networks
Jointly with Armin Fügenschuh, Björn Geißler, Ralf Gollmer, Antonio Morsi, Marc E. Pfetsch, Jessica Rövekamp, Klaus Spreckelsen, and Marc C. Steinbach
In: Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe (Eds.), Evaluating Gas Network Capacities
MOS-SIAM Series on Optimization. 3/2015. ISBN 978-1-611973-68-6. DOI 10.1137/1.9781611973693.ch2.An MPEC based heuristic
Jointly with Marc C. Steinbach and Bernhard M. Willert
In: Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe (Eds.), Evaluating Gas Network Capacities
MOS-SIAM Series on Optimization. 3/2015. ISBN 978-1-611973-68-6. DOI 10.1137/1.9781611973693.ch9.The precise NLP model
Jointly with Marc C. Steinbach and Bernhard M. Willert
In: Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe (Eds.), Evaluating Gas Network Capacities
MOS-SIAM Series on Optimization. 3/2015. ISBN 978-1-611973-68-6. DOI 10.1137/1.9781611973693.ch10.What does "feasible" mean?
Jointly with Imke Joormann, Marc C. Steinbach and Bernhard M. Willert
In: Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe (Eds.), Evaluating Gas Network Capacities
MOS-SIAM Series on Optimization. 3/2015. ISBN 978-1-611973-68-6. DOI 10.1137/1.9781611973693.ch11.Computational results for validation of nominations
Jointly with Benjamin Hiller, Jesco Humpola, Thomas Lehmann, Ralf Lenz, Antonio Morsi, Marc E. Pfetsch, Lars Schewe, Robert Schwarz, Jonas Schweiger, Claudia Stangl, Bernhard M. Willert
In: Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe (Eds.), Evaluating Gas Network Capacities
MOS-SIAM Series on Optimization. 3/2015. ISBN 978-1-611973-68-6. DOI 10.1137/1.9781611973693.ch12.A Primal Heuristic for Nonsmooth Mixed Integer Nonlinear Optimization
Jointly with Marc C. Steinbach and Bernhard M. Willert
In: Michael Jünger, Gerhard Reinelt (Eds.), Facets of Combinatorial Optimization - Festschrift for Martin Grötschel, 295-320. Springer, 2013
Preprint (2012): IfAM Preprint 95Optimierung Technischer Kapazitäten in Gasnetzen
Jointly with Alexander Martin, Björn Geißler, Christine Hayn, Antobio Morsi, Lars Schewe, Benjamin Hiller, Jesco Humpola, Thorsten Koch, Thomas Lehmann, Robert Schwarz, Jonas Schweiger, Marc E. Pfetsch, Marc C. Steinbach, Bernhard Willert and Rüdiger Schultz
In: Optimierung in der Energiewirtschaft, VDI-Berichte 2157, 2011
Preprint (2011): ZIB Report 11-56 [pdf]Using the Inhomogeneous Simultaneous Approximation Problem for Cryptographic Design
Jointly with Frederik Armknecht and Carsten Elsner
In: Abderrahmane Nitaj, David Pointcheval (Eds.), Progress in Cryptology - AFRICACRYPT 2011 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011. Proceedings. Lecture Notes in Computer Science Vol. 6737, Springer, 2011
Technical Reports
KronCrypt - A New Symmetric Cryptosystem Based on Kronecker's Approximation Theorem
Jointly with Carsten Elsner
Cryptology ePrint Archive, Report 2009/416. 2009. PDF versionÜber Aspekte des Designs symmetrischer Verschlüsselungsverfahren mit einer Anwendung auf ein neues Kryptosystem
Forschungsberichte der FHDW Hannover (ISSN 1863-7043), Bericht Nr.: 02008/02, Dezember 2008
Thesis
A Generic Interior-Point Framework for Nonsmooth and Complementarity Constrained Nonlinear Optimization
Dissertation, Leibniz Universität HannoverÜber Aspekte des Designs symmetrischer Verschlüsselungsverfahren mit einer Anwendung auf ein neues Kryptosystem
Diplomarbeit am Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität HannoverApproximation der medialen Achse polygonal berandeter Gebiete in der euklidischen Ebene
Studienarbeit am Institut für Mensch-Maschine-Kommunikation, FG Graphische Datenverarbeitung, Leibniz Universität Hannover
Reviews
Book review of “Nonlinear Optimization” by Francisco J. Aragón, Miguel A. Goberna, Marco A. López, and Margarita M. L. Rodríguez
In: SIAM Review. 62(2). 2020. Pages 521-522. DOI: 10.1137/20N975038.
Lecture Notes
Lecture notes (Vorlesungsskript): “Nonlinear Optimization”
Summer term 2019Lecture notes (Vorlesungsskript): "Lineare Algebra"
Winter term 2018/2019; based on the lecture notes of Volker SchulzLecture notes (Vorlesungsskript): "Lineare Komplementaritätsprobleme"
Summer term 2017; based on the book “The Linear Complementarity Problem” by Richard W. Cottle, Jong-Shi Pang, and Richard E. StoneLecture notes (Vorlesungsskript) "Lineare und kombinatorische Optimierung"
Winter term 2016/2017; based on the lecture notes of Alexander MartinLecture notes (Vorlesungsskript) "Robuste Optimierung"
Summer term 2016; based on the lecture notes of Frauke LiersLecture notes (Vorlesungsskript) "Optimierung von Versorgungsnetzen"
Jointly with Lars Schewe. Winter term 2015/2016 and summer term 2017
See the corresponding book Optimierung von Versorgungsnetzen. Mathematische Modellierung und Lösungstechniken Lars Schewe and me as well as the corresponding GitHub repositoryLecture notes (Vorlesungsskript) "Mathematische Optimierungsprobleme mit Gleichgewichtsnebenbedingungen"
Summer term 2015; based on the book “Mathematical Programs with Equilibrium Constraints” by Zhi-Quan Luo, Jong-Shi Pang, and Daniel RalphLecture notes (Vorlesungsskript) "Innere-Punkte-Methoden für lineare und nichtlineare Optimierungsprobleme"
Summer terms 2013 and 2014
Miscellaneous
(My personal opinions on) how to give a talk
Last update during July 2022