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
Analytics
Engineering and Physics
Energy


Forschungsprojekt(e)

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(SFB TRR 154 “Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzen”):
Wohlfahrtsoptimale Nominierungen in Gasnetzen und zugehörige Gleichgewichte
Prof. Dr. Veronika Grimm; PD Dr. Lars Schewe; Prof. Dr. Martin Schmidt; Prof. Dr. Gregor Zöttl
(01.10.2016 - 30.06.2018)


(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Adaptive MIP-Relaxierungen für MINLPs (B07) (2014 - 2018)
Prof. Dr. Alexander Martin; PD Dr. Lars Schewe
(01.10.2014)


TRR 154: TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken
Prof. Dr. Alexander Martin
(01.07.2014)


(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Dekompositionsmethoden für ganzzahlig-kontinuierliche Optimalsteuerung (A05) (2014 - 2018)
Prof. Dr. Günter Leugering; Prof. Dr. Alexander Martin
(01.07.2014)


(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Zentrale Aufgaben (Z03) (2014 - 2022)
Prof. Dr. Alexander Martin
(01.07.2014)



Publikationen (Download BibTeX)

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Grübel, J., Kleinert, T., Krebs, V., Orlinskaya, G., Schewe, L., Schmidt, M., & Thürauf, J. (2019). On Electricity Market Equilibria with Storages: Modeling, Uniqueness, and a Distributed ADMM.
Bärmann, A., Büsing, C., & Liers, F. (2019). Globalized Robust Optimization with Gamma-Uncertainties.
Grimm, V., Grübel, J., Schewe, L., Schmidt, M., & Zöttl, G. (2018). Nonconvex Equilibrium Models for Gas Market Analysis: Failure of Standard Techniques and Alternative Modeling Approaches. European Journal of Operational Research. https://dx.doi.org/10.1016/j.ejor.2018.09.016
Hiller, B., Koch, T., Schewe, L., Schwarz, R., & Schweiger, J. (2018). A System to Evaluate Gas Network Capacities: Concepts and Implementation. European Journal of Operational Research, 270(3), 797-808. https://dx.doi.org/10.1016/j.ejor.2018.02.035
Schewe, L., Schmidt, M., & Thürauf, J. (2018). Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System.
Groß, M., Pfetsch, M.E., Schewe, L., Schmidt, M., & Skutella, M. (2018). Algorithmic Results for Potential-Based Flows: Easy and Hard Cases. Networks. https://dx.doi.org/10.1002/net.21865
Steber, D., Pruckner, M., Thurner, C., Burlacu, R., Graber, T., Deß, T.,... German, R. (2018). Combined Optimization, Simulation and Grid Analysis of the German Electrical Power System in an European Context (KOSiNeK) - Presentation of the research project and first results. In Proceedings of the Integration of Sustainable Energy Conference (ISEneC) 2018. Nürnberg, DE.
Grimm, V., Martin, A., Sölch, C., Weibelzahl, M., & Zöttl, G. (2018). Market-based Redispatch May Result in Inefficient Dispatch.
Kramer, A., Krebs, V., & Schmidt, M. (2018). Strictly and Γ-Robust Counterparts of Electricity Market Models: Perfect Competition and Nash--Cournot Equilibria.
Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Computational Optimization and Applications, 70(1), 267-294. https://dx.doi.org/10.1007/s10589-017-9970-1
Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). Towards Simulation Based Mixed-Integer Optimization with Differential Equations. Networks, 72(1), 60-83. https://dx.doi.org/10.1002/net.21812
Krebs, V., & Schmidt, M. (2018). Uniqueness of Market Equilibria on Networks with Transport Costs. Operations Research Perspectives, 5, 169-173. https://dx.doi.org/10.1016/j.orp.2018.05.002
Grimm, V., Schewe, L., Schmidt, M., & Zöttl, G. (2018). A multilevel model of the European entry-exit gas market. Mathematical Methods of Operations Research. https://dx.doi.org/10.1007/s00186-018-0647-z
Bärmann, A., & Liers, F. (2018). Aggregation Methods for Railway Network Design Based on Lifted Benders Cuts. In Borndörfer R, Klug T, Lamorgese L, Mannino C, Reuther M, Schlechte T (Eds.), Handbook of Optimization in the Railway Industry. (pp. 47--72). Cham: Springer International Publishing.
Bärmann, A. (2018). An Optimal Expansion Strategy for the German Railway Network Until 2030. In Fink A, Fügenschuh A, Geiger MJ (Eds.), Operations Research Proceedings 2016 (pp. 3--8). Cham: Springer International Publishing.
Bärmann, A., Gellermann, T., Merkert, M., & Schneider, O. (2018). Staircase Compatibility and its Applications in Scheduling and Piecewise Linearization. Discrete Optimization, 29, 111-132. https://dx.doi.org/10.1016/j.disopt.2018.04.001
Schmidt, M., Sirvent, M., & Wollner, W. (2018). The Cost of Not Knowing Enough: Mixed-Integer Optimization with Implicit Lipschitz Nonlinearities.
Schmidt, M., Sirvent, M., & Wollner, W. (2018). A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities. Mathematical Programming. https://dx.doi.org/10.1007/s10107-018-1309-x
Geißler, B., Morsi, A., Schewe, L., & Schmidt, M. (2018). Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods. Informs Journal on Computing, 20(2). https://dx.doi.org/10.1287/ijoc.2017.0780
Schewe, L., & Schmidt, M. (2018). Computing Feasible Points for Binary MINLPs with MPECs. Mathematical Programming Computation. https://dx.doi.org/10.1007/s12532-018-0141-x


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