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Large-scale standard pooling problems with constrained pools and fixed demands

Author

Listed:
  • Manuel Ruiz
  • Olivier Briant
  • Jean-Maurice Clochard
  • Bernard Penz

Abstract

We present a new variant of the standard pooling problem in which demands are fixed and there are specific constraints on the intermediate pool. We propose a new formulation composed of proportion-flow variables, and we design an exact branch and bound algorithm by combining existing algorithms. Difficult instances have been generated to demonstrate the efficiency of our method, and our results are compared with those of Couenne, a generic MINLP solver. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Manuel Ruiz & Olivier Briant & Jean-Maurice Clochard & Bernard Penz, 2013. "Large-scale standard pooling problems with constrained pools and fixed demands," Journal of Global Optimization, Springer, vol. 56(3), pages 939-956, July.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:3:p:939-956
    DOI: 10.1007/s10898-012-9869-4
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    References listed on IDEAS

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    1. Le An & Pham Tao, 2005. "The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems," Annals of Operations Research, Springer, vol. 133(1), pages 23-46, January.
    2. Faiz A. Al-Khayyal & James E. Falk, 1983. "Jointly Constrained Biconvex Programming," Mathematics of Operations Research, INFORMS, vol. 8(2), pages 273-286, May.
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    Cited by:

    1. Akshay Gupte & Shabbir Ahmed & Santanu S. Dey & Myun Seok Cheon, 2017. "Relaxations and discretizations for the pooling problem," Journal of Global Optimization, Springer, vol. 67(3), pages 631-669, March.
    2. Boukouvala, Fani & Misener, Ruth & Floudas, Christodoulos A., 2016. "Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO," European Journal of Operational Research, Elsevier, vol. 252(3), pages 701-727.

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