SCI和EI收录∣中国化工学会会刊

Chin.J.Chem.Eng. ›› 2015, Vol. 23 ›› Issue (12): 2037-2047.DOI: 10.1016/j.cjche.2015.10.003

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Modeling and optimization methods of integrated production planning for steel plate mill with flexible customization

Shan Lu1, Hongye Su1, Charlotta Johnsson2, YueWang1, Lei Xie 1   

  1. 1 State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China;
    2 Department of Automatic Control, Lund University, Lund, Sweden
  • Received:2015-05-22 Revised:2015-07-27 Online:2016-01-19 Published:2015-12-28
  • Contact: Hongye Su
  • Supported by:

    Supported in part by the National High Technology Research and Development Program of China (2012AA041701), the National Natural Science Foundation of China (61320106009) and the 111 Project of China (B07031).

Modeling and optimization methods of integrated production planning for steel plate mill with flexible customization

Shan Lu1, Hongye Su1, Charlotta Johnsson2, YueWang1, Lei Xie 1   

  1. 1 State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China;
    2 Department of Automatic Control, Lund University, Lund, Sweden
  • 通讯作者: Hongye Su
  • 基金资助:

    Supported in part by the National High Technology Research and Development Program of China (2012AA041701), the National Natural Science Foundation of China (61320106009) and the 111 Project of China (B07031).

Abstract: With diversified requirements and varying manufacturing environments, the optimal production planning for a steelmill becomes more flexible and complicated. The flexibility provides operators with auxiliary requirements through an implementable integrated production planning. In this paper, a mixed-integer nonlinear programming (MINLP) model is proposed for the optimal planning that incorporates various manufacturing constraints and flexibility in a steel plate mill. Furthermore, two solution strategies are developed to overcome theweakness in solving the MINLP problem directly. The first one is to transformthe original MINLP formulation to an approximate mixed integer linear programming using a classic linearization method. The second one is to decompose the originalmodel using a branch-and-bound based iterative method. Computational experiments on various instances are presented in terms of the effectiveness and applicability. The result shows that the second method performs better in computational efforts and solution accuracy.

Key words: Production planning, Steel plate mill, Flexibility, Mixed integer nonlinear programming

摘要: With diversified requirements and varying manufacturing environments, the optimal production planning for a steelmill becomes more flexible and complicated. The flexibility provides operators with auxiliary requirements through an implementable integrated production planning. In this paper, a mixed-integer nonlinear programming (MINLP) model is proposed for the optimal planning that incorporates various manufacturing constraints and flexibility in a steel plate mill. Furthermore, two solution strategies are developed to overcome theweakness in solving the MINLP problem directly. The first one is to transformthe original MINLP formulation to an approximate mixed integer linear programming using a classic linearization method. The second one is to decompose the originalmodel using a branch-and-bound based iterative method. Computational experiments on various instances are presented in terms of the effectiveness and applicability. The result shows that the second method performs better in computational efforts and solution accuracy.

关键词: Production planning, Steel plate mill, Flexibility, Mixed integer nonlinear programming