• 论文 •    

钢铁联合企业中期生产计划建模及算法

吕志民,宋肖青,董绍华   

  1. 北京科技大学 高效轧制国家工程研究中心,北京100083
  • 出版日期:2011-01-15 发布日期:2011-01-25

Mid-term production plan modeling and algorithm for integrated steel enterprise

LU Zhi-min, SONG Xiao-qing, DONG Shao-hua   

  1. National Engineering Research Center of Advanced Rolling, Beijing 100083, China
  • Online:2011-01-15 Published:2011-01-25

摘要: 针对钢铁联合企业品种结构多样,工艺流程复杂,多阶段、多工厂联合生产的特点,建立了以客户需求满足度、企业效益等为目标的中长期生产计划优化模型。该模型为大规模、非线性、网络优化模型,主要考虑了生产能力、库存限制、工艺制程等约束条件,可以保证企业生产物流平衡和能力与市场平衡。提出了约束遗传算法嵌套线性规划方法的分层混合求解算法,外层以约束遗传算法中的染色体作为控制因子转换模型分解问题规模,内层采用线性规划快速求解,通过内外层嵌套循环,实现了非线性模型与线性模型的转换求解。通过算例证明了所提算法的有效性。

关键词: 钢铁联合企业, 中期生产计划, 遗传算法, 线性规划

Abstract: A model of medium-term production planning in iron and steel integrated enterprise was proposed to increase the customer satisfaction and profits of the enterprise, which was characterized by species and structural diversity, complicated process and multi-stage joint production of multi-factory. The model was featured by large-scale, nonlinear network optimization. Constrains including production capability, inventory limits, process issued etc were mainly considered in order to keep the balance of production logistics of enterprise, the balance of capability and market demand. A multi-layer and hybrid algorithm of Linear Programming (LP) nested in constraint genetic algorithm was presented to solve the model. In the outer layer of the algorithm, the chromosome of the constraint genetic algorithm worked as the control factor to converse the model and decompose the scale of the problem, in the inner layer of the algorithm, the model was solved by standard LP algorithm, according to nested loops of the inner and outer, the transformation solution between non-linear model and linear model was obtained. The case verified the effectiveness of this method.

Key words: integrated steel enterprise, mid term production planning, genetic algorithm, linear programming

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