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. These newly imposed political requirements influenced the technical processes of gas transport in such a way that the complex task of planning and operating gas networks has still intensified.
This is a joint project with:
Mathematically, the combination of discrete decisions on the configuration of a gas transport network (a), the nonlinear equations describing the physics of gas (b), the newly imposed deregulation rules (c), and the uncertainty in demand and supply (d) yield large-scale and highly complex stochastic mixed-integer nonlinear constraint programs. For solving this type of problems, no suitable algorithms or software are available by now. With respect to each individual aspects of stochastic mixed-integer nonlinear constraint programming, i.e., mixed-integer linear programming, global optimization of nonlinear programs, constraint satisfaction, and stochastic programming, remarkable progress has been made, however, over the last decades. The goal of this project is to incorporate these powerful technologies into a general framework which can solve the mixed-integer nonlinear constraint programs with stochastic components arising in gas transport and other applications.
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.
- CPAIOR 2011 (May 23 - 27)
8th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems
- Rounding and propagation heuristics for mixed integer programming
Tobias Achterberg, Timo Berthold, and Gregor Hendel
In: D. Klatte, H.-J. Lüthi, and K. Schmedders (Eds.), Operations Research Proceedings 2011, pages 71–76, 2012.
- Comparing MIQCP solvers to a specialised algorithm for mine production scheduling
Andreas Bley, Ambros M. Gleixner, Thorsten Koch, and Stefan Vigerske
In: H.G. Bock, X.P. Hoang, R. Rannacher, and J. Schlöder (Eds.), Modeling, Simulation and Optimization of Complex Processes - Proc. of 4th Int. Conf. on High Performance Scientific Computing, pages 25–39, 2012.
- Extending a CIP framework to solve MIQCPs
Timo Berthold, Stefan Heinz, and Stefan Vigerske
In: J. Lee and S. Leyffer (Eds.), Mixed Integer Nonlinear Programming, The IMA Volumes in Mathematics and its Applications, Volume 154, pages 427–444, 2012.
- Large neighborhood search beyond MIP
Timo Berthold, Stefan Heinz, Marc E. Pfetsch, and Stefan Vigerske
In L. Di Gaspero, Andrea S., and T. Stützle (Eds.), Proc. of MIC 2011, pages 51–60, 2011.
- An exact rational mixed-integer programming solver
William Cook, Thorsten Koch, Daniel E. Steffy, and Kati Wolter
IPCO 2011: The 15th Conference on Integer Programming and Combinatorial Optimization, LNCS 6655, 104–116, 2011.
- MIPLIB 2010
Thorsten Koch, Tobias Achterberg, Erling Andersen, Oliver Bastert, Timo Berthold, Robert E. Bixby, Emilie Danna, Gerald Gamrath, Ambros M. Gleixner, Stefan Heinz, Andrea Lodi, Hans Mittelmann, Ted Ralphs, Domenico Salvagnin, Daniel E. Steffy, and Kati Wolter
In: Mathematical Programming Computation, Volume 3, Number 2, pages 103–163, 2011.
- Explanations for the cumulative constraint: an experimental study
Stefan Heinz and Jens Schulz
In: P.M. Pardalos and S. Rebennack (Eds.), Experimental Algorithms – SEA 2011, LNCS 6630, pages 400–409.
- An approximative criterion for the potential of energetic reasoning
Timo Berthold, Stefan Heinz, and Jens Schulz
In: A. Marchetti-Spaccamela and M. Segal (Eds.), Theory and Practice of Algorithms in (Computer) Systems (TAPAS 2011), LNCS 6595, pages 229–239.
- Optimizing the design of complex energy conversion systems by branch and cut
Turang Ahadi-Oskui, Stefan Vigerske, Iwo Nowak, and George Tsatsaronis
Computers & Chemical Engineering 34(8):1226–1236.
- MINLP solver software
Michael R. Bussieck and Stefan Vigerske
In: J. J. Cochran et.al., editor, Wiley Encyclopedia of Operations Research and Management Science. Wiley & Sons, Inc.
- Rapid learning for binary programs
Timo Berthold, Thibaut Feydy, and Peter J. Stuckey
In: A. Lodi, M. Milano, and P. Toth (Eds.), Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems – CPAIOR 2010; LNCS 6140, pages 51–55.
- A Constraint Integer Programming Approach for Resource-Constrained Project Scheduling
Timo Berthold, Stefan Heinz, and , Marco E. Lübbecke, Rolf H. Möhring, and Jens Schulz
In: A. Lodi, M. Milano, and P. Toth (Eds.), Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems – CPAIOR 2010; LNCS 6140, pages 313–317.
- Undercover – a primal heuristic for MINLP based on sub-MIPs generated by set covering
Timo Berthold and Ambros M. Gleixner
In: P. Bonami, L. Liberti, A. J. Miller, and A. Sartenaer (Eds.), Proceedings of the EWMINLP, pages 103–112.
- Supporting global numerical optimization of rational functions by generic symbolic convexity tests
Winfried Neun, Thomas Sturm, and Stefan Vigerske
In: Proceedings of the 12th international conference on Computer algebra in scientific computing – CASC'10; pages 205–219.