基于改进遗传算法的电机生产线平衡设计应用

Application of Improved Genetic Algorithm in Motor Production Line

  • 摘要: 本文以M公司电机生产线为背景,针对多产品加工工序与工时的差异,以各工位负荷最均匀和工位数量最小为目标构建数学模型,实现一种改进遗传算法,有效解决生产线存在的工位负荷不均、瓶颈漂移等典型问题。首先,为简化计算,将各加工工序的时间取最大值,构建虚拟单一产品模型。其次,由于加工工序较多,为保证初始种群的质量和多样性,分别采用广度优先搜索和深度优先搜索两种策略搜索可行加工工序排列,再用轮盘赌策略从中选择分别作为父代种群和母代种群。最后,设计固定点变种交叉法和随机两点交叉法两种交叉算法,分别在迭代的初期和末期进行迭代。运行结果显示,优化后的生产线工位从9个减少为7个,生产线平衡率由66%提升至86%,生产线平滑指数减少至0.9,各工位作业时间分布集中、负荷均衡,表明了算法的有效性。此外,还借助Arena仿真平台对第5个重点工位的人员瓶颈进行了精确量化与动态验证,通过综合实施人员柔性配置和交叉培训,进一步稳固优化成果。

     

    Abstract: According to the motor production line of M Company, this study addresses variations in processing sequences and times across multiple products. A mathematical model is established with objectives to minimize workstation count and maximize load uniformity. An improved genetic algorithm is proposed to resolve issues including unbalanced workstation loads and bottleneck drift in mixed-model assembly lines. First, all processing times are standardized into a virtual single product by taking the maximum processing time for each operation. Second, to ensure initial population diversity given numerous operations, both Breadth-First Search (BFS) and Depth-First Search (DFS) strategies are employed to generate feasible operation sequences. These sequences are then selected via roulette wheel selection to form paternal and maternal populations. Finally, two crossover algorithms (Fixed-Point Variant Crossover and Random Two-Point Crossover) are designed for early and late iterations, respectively. Results show that optimized workstations decreased from 9 to 7, line balance rate improved from 66% to 86%, and smoothness index reduced to 0.9. The concentration of operation time distribution and balanced workload across workstations demonstrate the effectiveness of the algorithm. In addition, the Arena simulation platform was utilized to precisely quantify and dynamically validate the personnel bottleneck at the 5th key workstation. Furthermore, by implementing flexible staffing and cross-training, the optimization results were further consolidated.

     

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