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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(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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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., & Weismantel, R. (1996). Solving Multiple Knapsack Problems by Cutting Planes. SIAM Journal on Optimization, 6, 858 - 877.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Packing Steiner Trees: A Cutting Plane Algorithm and Computational Results. Mathematical Programming, 72, 125 - 145.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Packing Steiner trees: Further facets. European Journal of Combinatorics, 17, 39 - 52.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Packing Steiner trees: Separation algorithms. SIAM Journal on Discrete Mathematics, 9, 233 - 257.
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.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Optimum path packing on wheels: The consecutive case. Computers & Mathematics With Applications, 31, 23 - 35.
Grötschel, M., Martin, A., & Weismantel, R. (1996). Packing Steiner Trees: Polyhedral Investigations. Mathematical Programming, 72, 101 - 123.
Jünger, M., Martin, A., Reinelt, G., & Weismantel, R. (1994). Quadratic 0/1 optimization and a decomposition approach for the placement of electronic circuits. Mathematical Programming, 63, 257 - 279.
Martin, A. (1993). Packing Paths and Steiner Trees: Routing of Electronic Circuits. , 6, 185 -- 204.
Grötschel, M., Martin, A., & Weismantel, R. (1993). Routing in Grid Graphs by Cutting Planes. In G. Rinaldi, L.A. Wolsey (Eds.), Integer Programming and Combinatorial Optimization (pp. 447 - 463).
Martin, A. (1990). A polynomially solvable case of the separation problem for the Steiner partition inequalities. Mathematical Methods of Operations Research, 62, 277 -- 284.


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