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Using Column Generation To Solve A Coal Blending Problem

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  • Daniel de Wolf

    (TVES - Territoires, Villes, Environnement & Société - ULR 4477 - ULCO - Université du Littoral Côte d'Opale - Université de Lille, ULCO - Université du Littoral Côte d'Opale)

  • Stéphane Auray

    (EQUIPPE - Economie Quantitative, Intégration, Politiques Publiques et Econométrie - Université de Lille, Sciences et Technologies - Université de Lille, Sciences Humaines et Sociales - PRES Université Lille Nord de France - Université de Lille, Droit et Santé, ULCO - Université du Littoral Côte d'Opale)

  • Yves Smeers

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, UCLouvain)

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.

Suggested Citation

  • Daniel de Wolf & Stéphane Auray & Yves Smeers, 2015. "Using Column Generation To Solve A Coal Blending Problem," Post-Print halshs-02396784, HAL.
    • Handle: RePEc:hal:journl:halshs-02396784
    DOI: 10.1051/ro/2014033
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02396784
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    References listed on IDEAS

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    Keywords

    Column generation; coal blending;

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