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Optimization of capacity expansion planning for gas transportation networks


  • Andre, Jean
  • Bonnans, Frédéric
  • Cornibert, Laurent


This paper presents techniques for solving the problem of minimizing investment costs on an existing gas transportation network. The goal of this program is to find, first, the optimal location of pipeline segments to be reinforced and, second, the optimal sizes (among a discrete commercial list of diameters) under the constraint of satisfaction of demands with high enough pressure for all users. The paper develops new heuristics for solving this large-scale integer NLP problem, based on a two phases approach. The first one solves a continuous relaxation of the problem. A generalized potential formulation of the gas transportation networks including valves and compressor stations is introduced in order to find an initial point of the optimization solver. Phase two consists in choosing discrete values of diameters only among the set of pipes that have been reinforced in the continuous relaxation. A Branch & Bound scheme is then applied to a limited number of values in order to generate good solutions with reasonable computational effort on real-world applications.

Suggested Citation

  • Andre, Jean & Bonnans, Frédéric & Cornibert, Laurent, 2009. "Optimization of capacity expansion planning for gas transportation networks," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1019-1027, September.
  • Handle: RePEc:eee:ejores:v:197:y:2009:i:3:p:1019-1027

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    References listed on IDEAS

    1. De Wolf, D. & Janssens De Bisthoven, O. & Smeers, Y., 1991. "The simplex algorithm extended to piecewise linearly constrained problems II : an application to the gas transmission problem," CORE Discussion Papers 1991003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Abbasi, Ali Reza & Seifi, Ali Reza, 2015. "Considering cost and reliability in electrical and thermal distribution networks reinforcement planning," Energy, Elsevier, vol. 84(C), pages 25-35.
    2. Song, Shuang & Govindan, Kannan & Xu, Lei & Du, Peng & Qiao, Xiaojiao, 2017. "Capacity and production planning with carbon emission constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 132-150.
    3. Bosman, M.G.C. & Bakker, V. & Molderink, A. & Hurink, J.L. & Smit, G.J.M., 2012. "Planning the production of a fleet of domestic combined heat and power generators," European Journal of Operational Research, Elsevier, vol. 216(1), pages 140-151.
    4. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    5. Massol, Olivier & Tchung-Ming, Stéphane & Banal-Estañol, Albert, 2015. "Joining the CCS club! The economics of CO2 pipeline projects," European Journal of Operational Research, Elsevier, pages 259-275.
    6. Franziska Holz & Philipp M. Richter & Ruud Egging, 2013. "The Role of Natural Gas in a Low-Carbon Europe: Infrastructure and Regional Supply Security in the Global Gas Model," Discussion Papers of DIW Berlin 1273, DIW Berlin, German Institute for Economic Research.
    7. Massol, O., 2011. "A cost function for the natural gas transmission industry: further considerations," Working Papers 11/03, Department of Economics, City University London.
    8. Chaudry, Modassar & Jenkins, Nick & Qadrdan, Meysam & Wu, Jianzhong, 2014. "Combined gas and electricity network expansion planning," Applied Energy, Elsevier, pages 1171-1187.
    9. Massol, O. & Tchung-Ming, S., 2012. "Joining the CCS Club! Insights from a Northwest European CO2 Pipeline Project," Working Papers 12/10, Department of Economics, City University London.
    10. André, Jean & Auray, Stéphane & Brac, Jean & De Wolf, Daniel & Maisonnier, Guy & Ould-Sidi, Mohamed-Mahmoud & Simonnet, Antoine, 2013. "Design and dimensioning of hydrogen transmission pipeline networks," European Journal of Operational Research, Elsevier, vol. 229(1), pages 239-251.


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