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集团型钢铁企业订单分配与运输方式联合优化模型与算法

Model and algorithm for joint optimization of order allocation and transportation mode in group-oriented iron and steel enterprises

  • 摘要: 我国钢铁行业企业已经形成集团化发展模式,“一总部-多基地”管控方式可有效地提升企业应对复杂多变市场的能力。针对集团型钢铁企业集中销售、分布制造、低成本发货等现实需求,本文构建了订单分配与运输方式联合优化的数学规划模型,提出了改进的遗传算法进行求解。遗传算法采用双层编码表示订单-基地-运输方式的优化决策方案,采用轮盘赌和精英保留混合策略实现个体选择,设计了邻域搜索过程作为变异算子,保证解的可行性同时增强局部优化能力。计算实验结果表明,本文遗传算法在大规模案例情况下,在可接受的时间内能够稳定求得满足企业要求的优良计划方案。

     

    Abstract: Iron and steel enterprises in China have formed a group-based development model, and the “one headquarters, multiple bases” management and control model has effectively improved enterprises ability to respond to the complex and volatile market. Aiming at the practical demands of group-based iron and steel enterprises, such as centralized sales, distributed manufacturing and low-cost delivery, a mathematical programming model for the joint optimization of order allocation and transportation mode is established, and an improved genetic algorithm is proposed for solution. The genetic algorithm adopts a two-layer coding scheme to represent the optimal decision scheme of order-base-transportation mode, and implements individual selection through a hybrid strategy combining roulette wheel selection and elitist preservation. A neighborhood search procedure is designed as the mutation operator to ensure solution feasibility while enhancing local optimization capability. Computational experimental results show that the genetic algorithm proposed in this paper can stably obtain high-quality planning schemes that meet enterprise requirements within acceptable time for large-scale cases.

     

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