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

考虑柔性定制的钢板轧制集成生产计划的建模与优化方法（英文）

作　　者：卢山 苏宏业 Charlotta Johnsson 王越 谢磊 

机构地区：[1]State Key Laboratory of Industrial Control Technology,Institute of Cyber-Systems and Control,Zhejiang University [2]Department of Automatic Control,Lund University

出　　处：《Chinese Journal of Chemical Engineering》2015年第12期2037-2047,共11页中国化学工程学报（英文版）

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

摘　　要：With diversified requirements and varying manufacturing environments, the optimal production planning for a steel mill 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 the weakness in solving the MINLP problem directly. The first one is to transform the original MINLP formulation to an approximate mixed integer linear programming using a classic linearization method. The second one is to decompose the original model 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.With diversified requirements and varying manufacturing environments, the optimal production planning for a steel mill 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 the weakness in solving the MINLP problem directly. The first one is to transform the original MINLP formulation to an approximate mixed integer linear programming using a classic linearization method. The second one is to decompose the original model 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 

分 类 号：TG338[金属学及工艺—金属压力加工]