Prof. Dr. Alexander Martin
The Analytics and Optimization Lab explores cutting-edge optimization methods on a mathematical basis. This is where theory meets practice: all members of the Lab have many years of experience in solving optimization problems, both from outstanding research and from large industrial projects.
We design mathematical models for real-world problems in close collaboration with our application and research partners. In order to efficiently solve these models, we develop specially adapted and robust algorithms and evaluate them both in industrial applications and in theory. We use mixed-integer linear and nonlinear optimization techniques as well as robust, multi-stage and combinatorial optimization. The strategies and structures we design are used in many practice-relevant areas, including the following sectors:
- Combined transportation of passengers and goods
- Energy supply and management
- Optimization in the food industry
- Logistics processes in the healthcare sector
- Supply chain management
- Finance and banking
- Urban design & building management
- Diverse applications in engineering
Prof. Dr. Alexander Martin
Professor of Analytics and Optimization
Research Projects
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TRR 154 (A05): Decomposition methods for mixed-integer optimal control
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TRR 154 (B07): Multidimensional auction design with (mixed) integer network constraints
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ROMSOC: Reduced Order Modelling, Simulation and Optimization of Coupled systems
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AI-supported operating room management (KI-gestütztes Operationssaal-Management, KIOM)
© DB Cargo Polska
Analysis and collection of requirements for an integrated planning system
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Alliance AI and optimization for combined transport (ship, rail, road)
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Energy-efficient coordination and control of rail traffic in real time
© DB Cargo Polska
Integrated locomotive and wagon scheduling in the long-term planning perspective
Further Research Projects
You can find more research projects on the profile page of Prof. Alexander Martin
Publications
| 2024 | Halbig, K., Göß, A., Weninger, D. Exploiting user-supplied Decompositions inside Heuristics. Optimization Online, preprint |
| 2024 | Burlacu, R., Gemander, P., Kuen, T., Weston, J. Energy-efficient Timetables for Railway Traffic: Incorporating DC Power Models. Optimization Online, preprint |
| 2024 | Burlacu, R., Gemander, P., Kuen, T. The if-then Polytope: Conditional Relations over Multiple Sets of Binary Variables. Optimization Online, preprint |
| 2024 | Giannakopoulos, Y., Hahn, J. Discrete Single-Parameter Optimal Auction Design. SAGT 2024, vol 15156. Springer, LNCS, 165-183 |
| 2024 | Kuchlbauer, M. Outer approximation for generalized convex mixed-integer nonlinear robust optimization problems. kobv, preprint |
| 2024 | Kuchlbauer, M., Dienstbier, J., Muneer, A., Hedges, H., Stingl, M., Liers, F., Pflug, L. Quality Control in Particle Precipitation via Robust Optimization. Computers & Chemical Engineering, 183, 108619 |
| 2024 | Thürauf, J., Grübel, J., Schmidt, M. Adjustable Robust Nonlinear Network Design under Demand Uncertainties. Optimization Online, arXiv, preprint |
| 2024 | Grimm, V., Grübel, J., Schmidt, M., Schwartz, A., Wiertz, A., Zöttl, G. On a Tractable Single-Level Reformulation of a Multilevel Model of the European Entry-Exit Gas Market with Market Power. Journal of Global Optimization |
| 2024 | Hagn, A., Krause, J., Moreno, L., Stargalla, M. Exact and Heuristic Approaches for the Covering Tour Location Routing Problem. arXiv, preprint |
| 2024 | Bärmann, A., Martin, A., Müller, A., Weninger, D. A Column Generation Approach for the Lexicographic Optimization of Intra-Hospital Transports. OR Spectrum, 1-50 |
| 2024 | Mutschler, C., Münzenmayer, C., Uhlmann, N., Martin, A. Unlocking Artificial Intelligence – From Theory to Applications. Springer Cham, Book |
| 2024 | Bärmann, A., Martin, A., Staszek, J. A decomposition approach for integrated locomotive scheduling and driver assignment in rail freight transport. Journal on Transportation and Logistics, 13, 100145 |
| 2023 | Adelhütte, D., Biefel, C., Kuchlbauer, M. Pareto Robust Optimization on Euclidean Vector Spaces. Optimization Letters, 17, 771-788 |
| 2023 | Grübel, J., Krug, R., Schmidt, M., Wollner, W. A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities. Journal of Optimization Theory and Applications, 198, Nr. 3, 1077-1117 |
| 2023 | Grübel, J., Huber, O., Hümbs, L., Klimm, M., Schmidt, M., Schwartz, A. Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium. Optimization Methods and Software, 38, Nr. 1, 153-183 |
| 2023 | Aigner, K., Schaumann, P., von Loeper, F., Martin, A., Schmidt, V., Liers, F. Robust DC optimal power flow with modeling of solar power supply uncertainty via R-vine copulas. Optimization and Engineering, 24, 1951-1982 |
| 2023 | Krug, R., Leugering, G., Martin, A., Schmidt, M., Weninger, D. A consensus-based alternating direction method for mixed-integer and PDE-constrained gas transport problems. INFORMS Journal on Computing, 36, Nr. 2, 397-416 |
| 2023 | Aigner, K., Burlacu, R., Liers, F., Martin, A. Solving AC Optimal Power Flow with Discrete Decisions to Global Optimality. INFORMS Journal on Computing, 35, Nr. 2, 458-474 |
| 2023 | Bärmann, A., Martin, A., Schneider, O. The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints. SIAM Journal on Optimization, 33, Nr. 4 |
| 2023 | Gemander, P., Bärmann, A., Martin, A. A Stochastic Optimization Approach to Energy-Efficient Underground Timetabling under Uncertain Dwell and Running Times. Transportation Science, 57, Nr. 6, 1627-1645 |
More publications by Prof. Dr. Alexander Martin on Google Scholar
Team Analytics and Optimization Lab
Prof. Alexander Martin
Founding Vice President for Research, Innovation and Entrepreneurship- Telefon: +49 911 92741400
- E-Mail: alexander.martin@utn.de
Dr. Lukas Glomb
Postdoctoral Researcher- Telefon: +49 911 580615003
- E-Mail: lukas.glomb@iis.fraunhofer.de
