Lehrstuhl für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)

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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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.
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.
Achterberg, T., Koch, T., & Martin, A. (2005). Branching Rules Revisited. Operations Research Letters, 33, 42 -- 54.
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.
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.
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.
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.
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
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. (2001). General Mixed Integer Programming: Computational Issues for Branch-and-Cut Algorithms. In D. Naddef, M. Jünger (Eds.), Computational Combinatorial Optimization. Springer, Berlin.
Bixby, R.E., & Martin, A. (2000). Parallelizing the Dual Simplex Method. Informs Journal on Computing, 12, 45 -- 56.
Martin, A. (1999). Integer programs with block structure (Habilitation).
Borndörfer, R., E. Ferreira, C., & Martin, A. (1998). Decomposing Matrices into Blocks. SIAM Journal on Optimization, 9, 236 -- 269.
Martin, A., & Weismantel, R. (1998). The Intersection of Knapsack Polyhedra and Extensions. In R.E. Bixby, E.A. Boyd, R.Z. Ríos-Mercado (Eds.), Integer Programming and Combinatorial Optimization. (pp. 243 - 256).
Koch, T., & Martin, A. (1998). Solving Steiner Tree Problems in Graphs to Optimality. Networks, 32, 207 -- 232.
Grötschel, M., Martin, A., & Weismantel, R. (1997). The Steiner Tree Packing Problem in VLSI-Design. Mathematical Programming, 78, 265 - 281.
E. Ferreira, C., Martin, A., de Souza, C.C., Weismantel, R., & Wolsey, L. (1996). Formulations and valid inequalities for the node capacitated graph partitioning problem. Mathematical Programming, 74, 247 - 266.
E. Ferreira, C., Martin, A., & Weismantel, R. (1996). Solving Multiple Knapsack Problems by Cutting Planes. SIAM Journal on Optimization, 6, 858 - 877.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Optimum path packing on wheels: The consecutive case. Computers & Mathematics With Applications, 31, 23 - 35.


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 2019-23-07 um 23:51