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Valid inequalities for the topology optimization problem in gas network design

Author

Listed:
  • Jesco Humpola

    (Zuse Institute Berlin)

  • Armin Fügenschuh

    (University of the Federal Armed Forces Hamburg)

  • Thorsten Koch

    (Zuse Institute Berlin
    Technische Universität Berlin)

Abstract

One quarter of Europe’s energy demand is provided by natural gas distributed through a vast pipeline network covering the whole of Europe. At a cost of 1 million Euro per km extending the European pipeline network is already a multi-billion Euro business. Therefore, automatic planning tools that support the decision process are desired. Unfortunately, current mathematical methods are not capable of solving the arising network design problems due to their size and complexity. In this article, we will show how to apply optimization methods that can converge to a proven global optimal solution. By introducing a new class of valid inequalities that improve the relaxation of our mixed-integer nonlinear programming model, we are able to speed up the necessary computations substantially.

Suggested Citation

  • Jesco Humpola & Armin Fügenschuh & Thorsten Koch, 2016. "Valid inequalities for the topology optimization problem in gas network design," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 597-631, July.
    • Handle: RePEc:spr:orspec:v:38:y:2016:i:3:d:10.1007_s00291-015-0390-2
    DOI: 10.1007/s00291-015-0390-2
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    References listed on IDEAS

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    1. DE WOLF, Daniel & SMEERS, Yves, 2000. "The gas transmission problem solved by an extension of the simplex algorithm," LIDAM Reprints CORE 1489, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Castillo, Luis & Gonzalez, Antonio, 1998. "Distribution network optimization: Finding the most economic solution by using genetic algorithms," European Journal of Operational Research, Elsevier, vol. 108(3), pages 527-537, August.
    3. De Wolf, D. & Smeers, Y., 1996. "Optimal dimensioning of pipe networks with application to gas transmission networks," LIDAM Reprints CORE 1249, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Daniel de Wolf & Yves Smeers, 1996. "Optimal Dimensioning of Pipe Networks with Application to Gas Transmission Networks," Operations Research, INFORMS, vol. 44(4), pages 596-608, August.
    5. Richard P. O'Neill & Mark Williard & Bert Wilkins & Ralph Pike, 1979. "A Mathematical Programming Model for Allocation of Natural Gas," Operations Research, INFORMS, vol. 27(5), pages 857-873, October.
    6. Daniel De Wolf & Yves Smeers, 2000. "The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm," Management Science, INFORMS, vol. 46(11), pages 1454-1465, November.
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    Cited by:

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