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Using column generation to solve a coal blending problem

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  • AURAY, Stéphane
  • DE WOLF, Daniel
  • SMEERS, Yves

Abstract

In this paper, we formulate and solve a real life coal blending problem using a Column Generation Approach. The objective of the model is to prescribe optimal mixes of coal to produce coke. The problem is formulated as a mixed integer program. It involves various types of constraints arising from technical considerations of the blending process. The model also incorporates nonlinear constraints. It results in a large-scale problem that cannot be solved by classical operations research methods. Defining three heuristic methods based on column generation techniques, this paper proposes reasonable solutions for the industry.
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Suggested Citation

  • AURAY, Stéphane & DE WOLF, Daniel & SMEERS, Yves, 2015. "Using column generation to solve a coal blending problem," LIDAM Reprints CORE 2713, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:2713
    Note: In : RAIRO Operations Research, 49, 2015, p. 15-27
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    1. François Vanderbeck, 2000. "On Dantzig-Wolfe Decomposition in Integer Programming and ways to Perform Branching in a Branch-and-Price Algorithm," Operations Research, INFORMS, vol. 48(1), pages 111-128, February.
    2. Sarker, Ruhul A. & Gunn, Eldon A., 1997. "A simple SLP algorithm for solving a class of nonlinear programs," European Journal of Operational Research, Elsevier, vol. 101(1), pages 140-154, August.
    3. Vanderbeck, F. & Wolsey, L. A., 1996. "An exact algorithm for IP column generation," LIDAM Reprints CORE 1242, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. DE WOLF, Daniel, 2003. "Using column generation to solve an industrial mixing problem," LIDAM Discussion Papers CORE 2003042, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Harvey J. Greenberg, 1995. "Analyzing the Pooling Problem," INFORMS Journal on Computing, INFORMS, vol. 7(2), pages 205-217, May.
    6. F J Vasko & D D Newhart & A D Strauss, 2005. "Coal blending models for optimum cokemaking and blast furnace operation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 235-243, March.
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