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The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm

Author

Listed:
  • Daniel De Wolf

    (GREMARS, Université de Lille 3, B.P. 149, 59.653 Villeneuve d'Ascq, Cedex, France)

  • Yves Smeers

    (CORE, Université Catholique de Louvain, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium)

Abstract

The problem of distributing gas through a network of pipelines is formulated as a cost minimization subject to nonlinear flow-pressure relations, material balances, and pressure bounds. The solution method is based on piecewise linear approximations of the nonlinear flow-pressure relations. The approximated problem is solved by an extension of the Simplex method. The solution method is tested on real-world data and compared with alternative solution methods.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:11:p:1454-1465
    DOI: 10.1287/mnsc.46.11.1454.12087
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    References listed on IDEAS

    as
    1. Robert Fourer & Roy E. Marsten, 1992. "Solving Piecewise-Linear Programs: Experiments with a Simplex Approach," INFORMS Journal on Computing, INFORMS, vol. 4(1), pages 16-31, February.
    2. 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.
    3. F. Palacios-Gomez & L. Lasdon & M. Engquist, 1982. "Nonlinear Optimization by Successive Linear Programming," Management Science, INFORMS, vol. 28(10), pages 1106-1120, October.
    4. Jianzhong Zhang & Nae-Heon Kim & L. Lasdon, 1985. "An Improved Successive Linear Programming Algorithm," Management Science, INFORMS, vol. 31(10), pages 1312-1331, October.
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