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Cutting Planes for the Optimisation of Gas Networks

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Alexander Martin

    (Technical University Darmstadt, Research Group of Discrete Optimization)

  • Markus Möller

    (Technical University Darmstadt, Research Group of Discrete Optimization)

Abstract

Summary This paper presents cutting planes which are useful or potentially useful for solving mixed integer programs that arise in the optimisation of gas networks. We consider polyhedra that are defining essential parts of the model and give a polynomial algorithm for the calculation of the set of vertices of such polyhedra implying a polynomial separation algorithm for the convex hull of the polyhedra can be developed.

Suggested Citation

  • Alexander Martin & Markus Möller, 2005. "Cutting Planes for the Optimisation of Gas Networks," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 307-329, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_24
    DOI: 10.1007/3-540-27170-8_24
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