Natural gas is one of the most important energy sources in Germany and Europe. In recent years, political regulations have led to a strict separation of gas trading and gas transport, thereby assigning a central role in energy politics to the transportation and distribution of gas.

Mathematically, the combination of discrete decisions on the configuration of a gas transport network, the nonlinear equations describing the physics of gas, and the uncertainty in demand and supply yield large-scale and highly complex stochastic mixed-integer nonlinear programs.

The vision of this project is to advance the rapid specification and efficient solution of mixed-integer nonlinear programs with chance constraints which will have a broad impact on industrial and academic projects inside and outside of Matheon.

Publications

2018
SCIP: Global Optimization of Mixed-Integer Nonlinear Programs in a Branch-and-Cut Framework Optimization Methods & Software, 33(3), pp. 563-593, 2018 (preprint available as ) Stefan Vigerske, Ambros Gleixner BibTeX
DOI
Optimization of Gas Transport
2014
Shift-and-Propagate Journal of Heuristics, 21(1), pp. 73-106, 2014 (preprint available as ) Timo Berthold, Gregor Hendel BibTeX
DOI
Optimization of Gas Transport
Undercover: a primal MINLP heuristic exploring a largest sub-MIP Mathematical Programming, 144(1-2), pp. 315-346, 2014 (preprint available as ZIB-Report 12-07) Timo Berthold, Ambros Gleixner PDF (ZIB-Report)
PDF (ZIB-Report)
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DOI
Optimization of Gas Transport
2013
Learning and Propagating Lagrangian Variable Bounds for Mixed-Integer Nonlinear Programming Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, 10th International Conference, CPAIOR 2013, Yorktown Heights, NY, USA, May 18-22, 2013, pp. 355-361, Vol.7874, Lecture Notes in Computer Science, 2013 (preprint available as ZIB-Report 13-04) Ambros Gleixner, Stefan Weltge PDF (ZIB-Report)
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Optimization of Gas Transport
Undercover Branching Experimental Algorithms, 12th International Symposium, SEA 2013, Rome, Italy, June 5-7, 2013, Proceedings, Vincenzo Bonifaci, Camil Demetrescu, Alberto Marchetti-Spaccamela (Eds.), pp. 212-223, Vol.7933, Lecture Notes in Computer Science, 2013 (preprint available as ZIB-Report 13-14) Timo Berthold, Ambros Gleixner PDF (ZIB-Report)
BibTeX
DOI
Optimization of Gas Transport
2012
Analyzing the computational impact of MIQCP solver components Numerical Algebra, Control and Optimization, 2(4), pp. 739-748, 2012 (preprint available as ZIB-Report 13-08) Timo Berthold, Ambros Gleixner, Stefan Heinz, Stefan Vigerske PDF (ZIB-Report)
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Optimization of Gas Transport
Comparing MIQCP Solvers to a Specialised Algorithm for Mine Production Scheduling Modeling, Simulation and Optimization of Complex Processes. Proceedings of the Fourth International Conference on High Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam, pp. 25-39, 2012 (preprint available as ) Andreas Bley, Ambros Gleixner, Thorsten Koch, Stefan Vigerske BibTeX
DOI
Optimization of Gas Transport
SCIP Optimization Suite を利用した 混合整数(線形/非線形) 計画問題の解法 Proceedings of the 24th RAMP symposium. The Operations Society of Japan, RAMP: Research Association of Mathematical Programming, pp. 165-192, 2012 (preprint available as ZIB-Report 12-24) Timo Berthold, Ambros Gleixner, Stefan Heinz, Thorsten Koch, Yuji Shinano PDF (ZIB-Report)
BibTeX
Optimization of Gas Transport
Solving mixed integer linear and nonlinear problems using the SCIP Optimization Suite ZIB-Report 12-27 Timo Berthold, Gerald Gamrath, Ambros Gleixner, Stefan Heinz, Thorsten Koch, Yuji Shinano PDF
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Optimization of Gas Transport
Towards globally optimal operation of water supply networks Numerical Algebra, Control and Optimization, 2(4), pp. 695-711, 2012 (preprint available as ZIB-Report 12-25) Ambros Gleixner, Harald Held, Wei Huang, Stefan Vigerske PDF (ZIB-Report)
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Optimization of Gas Transport
2011
MIPLIB 2010 Mathematical Programming Computation, 3(2), pp. 103-163, 2011 (preprint available as ZIB-Report 10-31) Thorsten Koch, Tobias Achterberg, Erling Andersen, Oliver Bastert, Timo Berthold, Robert E. Bixby, Emilie Danna, Gerald Gamrath, Ambros Gleixner, Stefan Heinz, Andrea Lodi, Hans Mittelmann, Ted Ralphs, Domenico Salvagnin, Daniel Steffy, Kati Wolter PDF (ZIB-Report)
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DOI
Optimization of Gas Transport
On the computational impact of MIQCP solver components ZIB-Report 11-01 Timo Berthold, Ambros Gleixner, Stefan Heinz, Stefan Vigerske PDF
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Optimization of Gas Transport
2010
Undercover – a primal heuristic for MINLP based on sub-MIPs generated by set covering Proceedings of the European Workshop on Mixed Integer Nonlinear Programming, April 12-16, 2010, Marseilles, France, Pierre Bonami, Leo Liberti, Andrew J. Miller, Annick Sartenaer (Eds.), pp. 103-112, 2010 (preprint available as ZIB-Report 09-40) Timo Berthold, Ambros Gleixner PDF (ZIB-Report)
PDF (ZIB-Report)
PDF (ZIB-Report)
BibTeX
Optimization of Gas Transport