Lehrstuhl für Wirtschaftsmathematik

Adresse:
Cauerstraße 11
91058 Erlangen



Untergeordnete Organisationseinheiten

Juniorprofessur für Algorithmische Diskrete Mathematik
Juniorprofessur für Optimierung von Energiesystemen


Forschungsbereiche

Mixed Integer Programming
Logistics and Production
Engineering and Physics
Energy
Analytics


Forschungsprojekt(e)

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(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Dekompositionsmethoden für ganzzahlig-kontinuierliche Optimalsteuerung (A05) (2018 - 2022)
Prof. Dr. Günter Leugering; Prof. Dr. Alexander Martin; Prof. Dr. Martin Schmidt
(01.07.2018 - 30.06.2022)


(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
MIP-Techniken für Gleichgewichtsmodelle mit Ganzzahligkeitsrestriktionen (B07) (2018 - 2022)
Prof. Dr. Alexander Martin; PD Dr. Lars Schewe
(01.07.2018 - 30.06.2022)


Verteilnetze: Flächenbezogene Modellierung, Simulation und Optimierung von Solar-Einspeisung, Lastfluss und Steuerung für Stromverteilnetze, unter Berücksichtigung von Einspeisungsunsicherheiten. Teilprojekt 5: Optimierung der Netzeingriffe.
Prof. Dr. Frauke Liers; Prof. Dr. Alexander Martin
(01.01.2018 - 31.12.2020)


(Reduced Order Modelling, Simulation and Optimization of Coupled systems):
ROMSOC: Reduced Order Modelling, Simulation and Optimization of Coupled systems
Dr. Andreas Bärmann; Prof. Dr. Alexander Martin
(01.09.2017 - 31.08.2021)


(Energie Campus Nürnberg (EnCN2)):
EMD: Energiemarktdesign
Prof. Dr. Veronika Grimm; Prof. Dr. Roland Ismer; Prof. Dr. Frauke Liers; Prof. Dr. Alexander Martin; PD Dr. Lars Schewe; Prof. Dr. Martin Schmidt; Prof. Dr. Gregor Zöttl
(01.01.2017 - 31.12.2021)



Publikationen (Download BibTeX)

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Armbruster, M., Fügenschuh, M., Helmberg, C., Jetchev, N., & Martin, A. (2006). Hybrid Genetic Algorithm Within Branch-and-Cut for the Minimum Graph Bisection Problem. In Proceedings of 6th European Conference, EvoCOP 2006, Budapest, Hungary, April 10-12, 2006 (pp. 1-12). Springer, Berlin.
Schewe, L. (2006). Generation of oriented matroids using satisfiability solvers. In Andrés Iglesias, Nobuki Takayama (Eds.), Mathematical Software - ICMS 2006. (pp. 216-218). Berlin, Heidelberg: Springer.
Günther, U., & Martin, A. (2006). Mixed Integer Models for Branched Sheet Metal Products. In PAMM, Proceedings of Applied Mathematics and Mechanics (pp. 697 -- 698).
Günther, U., Martin, A., Ritter, K., & Wagner, T. (2006). Cash Recycling Systems: Prediction and Optimization. In PAMM, Proceedings of Applied Mathematics and Mechanics (pp. 667 - 668).
Martin, A., Möller, M., & Moritz, S. (2006). Mixed Integer Models for the Stationary Case of Gas Network Optimization. Mathematical Programming, 105, 563 - 582. https://dx.doi.org/10.1007/s10107-005-0665-5
Fügenschuh, A.-R., & Martin, A. (2006). A Multicriterial Approach for Optimizing Bus Schedules and School Starting Times. Annals of Operations Research, 147, 119 -- 216.
Achterberg, T., Koch, T., & Martin, A. (2006). MIPLIB 2003. Operations Research Letters, 34(4), 1--12. https://dx.doi.org/10.1016/j.orl.2005.07.009
Fügenschuh, A.-R., Herty, M., Klar, A., & Martin, A. (2006). Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks. SIAM Journal on Optimization, 16, 1155 -- 1176.
Eisenblätter, A., Geerdes, H.-F., Koch, T., Martin, A., & Wessäly, R. (2006). UMTS Radio Network Evaluation and Optimization beyond Snapshots. Mathematical Methods of Operations Research, 63, 1 - 29. https://dx.doi.org/10.1007/s00186-005-0002-z
Schewe, L. (2006). Nonrealizable minimal triangulations of surfaces. In Discrete Differential Geometry: Abstracts from the workshop (pp. 707-708).
Bokowski, J., & Schewe, L. (2005). There are no realizable 15\4- and 16\4 -configurations. Revue roumaine de mathématiques pures et appliquées, 50(5-6), 483-493.
Achterberg, T., Koch, T., & Martin, A. (2005). Branching Rules Revisited. Operations Research Letters, 33, 42 -- 54.
Martin, A., & Möller, M. (2005). Cutting Planes for the Optimisation of Gas Networks. In H.G. Bock, E. Kostina, H.X. Phu, R. Rannacher (Eds.), Modeling, Simulation and Optimization of Complex Processes (pp. 307 - 330). Springer, Heidelberg.
Armbruster, M., Fügenschuh, M., Helmberg, C., Jetchev, N., & Martin, A. (2005). LP-based Genetic Algorithm for the Minimum Graph Bisection Problem. In Operations Research Proceedings 2005, Bremen, September 7-9, 2005 (pp. 315-320). Springer, Berlin.
Fügenschuh, A.-R., & Martin, A. (2005). Integrated Optimization of School Starting Times and Public Bus Services. In H. Fleuren; D. den Hertog; P. Kort (Eds.), Operations Research Proceedings 2004 (pp. 150 -- 157). Springer, Berlin.
Fügenschuh, A.-R., & Martin, A. (2005). Computational Integer Programming and Cutting Planes. In K.~Aardal, G.~Nemhauser, R.~Weismantel (Eds.), Handbooks in Operations Research and Management Science (pp. 69 -- 122). Kluwer.
Sternel, D., Junglas, D., Martin, A., & Schäfer, M. (2004). Optimisation of Partitioning for Parallel Flow Simulation on Block Structured Grids. In B.H.V. Topping, C.A. Mota Soares (Eds.), Proceedings of the Fourth International Conference on Engineering Computational Technology Stirling, United Kingdom: Civil-Comp Press.
Bokowski, J., & Martin, A. (2002). Egoisten schaden sich selbst.
Martin, A. (2002). Large Scale Optimization. In Encyclopedia of Life Support Systems (EOLSS) (pp. 411 -- 428). UNESCO.
Martin, A. (2002). Cutting Planes in Integer and Mixed Integer Programming. Discrete Applied Mathematics, 123/124, 391 -- 440. https://dx.doi.org/10.1016/S0166-218X(01)00348-1


Zusätzliche Publikationen (Download BibTeX)


Grimm, V., Kleinert, T., Liers, F., Schmidt, M., & Zöttl, G. (2019). Optimal price zones in electricity markets: a mixed-integer multilevel model and global solution approaches. Optimization Methods & Software, 34(2), 406-436. https://dx.doi.org/10.1080/10556788.2017.1401069
Gottschalk, C., Koster, A., Liers, F., Peis, B., Schmand, D., & Wierz, A. (2017). Robust flows over time: models and complexity results. Mathematical Programming. https://dx.doi.org/10.1007/s10107-017-1170-3
Liers, F., & Merkert, M. (2016). Structural Investigation of Piecewise Linearized Network Flow Problems. SIAM Journal on Optimization, 26(4), 2863-2886. https://dx.doi.org/10.1137/15M1006751
Heidt, A., Helmke, H., Kapolke, M., Liers, F., & Martin, A. (2016). Robust runway scheduling under uncertain conditions. Journal of Air Transport Management, 56(Part A), 28-37. https://dx.doi.org/10.1016/j.jairtraman.2016.02.009
Liers, F., Martin, A., & Pape, S. (2016). Binary Steiner Trees: Structural Results and an Exact Solution Approach. Discrete Optimization, 21, 85-117. https://dx.doi.org/10.1016/j.disopt.2016.05.006
Kapolke, M., Fürstenau, N., Heidt, A., Liers, F., Mittendorf, M., & Weiß, C. (2016). Pre-tactical optimization of runway utilization under uncertainty. Journal of Air Transport Management. https://dx.doi.org/10.1016/j.jairtraman.2016.02.004
Bärmann, A., Liers, F., Martin, A., Merkert, M., Thurner, C., & Weninger, D. (2015). Solving Network Design Problems via Iterative Aggregation. Mathematical Programming Computation, 7(2), 189-217. https://dx.doi.org/10.1007/s12532-015-0079-1
Fürstenau, N., Heidt, A., Kapolke, M., Liers, F., Mittendorf, M., & Weiß, C. (2015). Pre-Tactical Planning of Runway Utilization Under Uncertainty: Optimization and Validation. In Dirk Schäfer (Eds.), Proceedings of the SESAR Innovations Days 2015 Eurocontrol.
Heidt, A., Kapolke, M., Liers, F., Fürstenau, N., & Helmke, H. (2014). Pre-tactical Time Window assignment: Runway Utilization and the Impact of Uncertainties. In Dirk Schaefer, Javier Saez (Eds.), Proceedings of the SESAR Innovation Days 2014.
Heidt, A., Helmke, H., Liers, F., & Martin, A. (2014). Robust Runway Scheduling using a time-indexed model. In D.~Schäfer (Eds.), Proceedings of the SESAR Innovation Days 2014.

Zuletzt aktualisiert 2019-24-04 um 10:18