基于灰关联分析的多目标装配线平衡优化研究

Research on Multi-Objective Assembly Line Balancing Optimization Based on Grey Relational Analysis

  • 摘要: 本文提出了一种基于灰关联分析与模拟退火算法的多目标装配线平衡优化方法。针对装配线平衡中的多个优化目标,首先通过灰关联分析将不同目标的相对重要性综合为单一目标函数,减少了多目标优化的复杂度。随后利用模拟退火算法,在全局搜索中考虑目标之间的权重关系,逐步逼近最优解。通过仿真验证,不同权重组合对各工位工作负荷和生产节拍的分布产生了显著影响。结果表明,该方法能够有效平衡不同目标,实现工位负荷的均衡分配,并优化生产节拍。尤其是在减少工位间工作负荷差异和缩短生产节拍方面,提出的模型表现出较好的全局优化能力,为装配线平衡的实际应用提供了一种可行的解决方案。

     

    Abstract: This paper presents a multi-objective assembly line balancing optimization method based on grey relational analysis and simulated annealing algorithm. For the multiple optimization objectives in assembly line balancing, grey relational analysis is first used to integrate the relative importance of different objectives into a single objective function, thereby reducing the complexity of multi-objective optimization. Then, the simulated annealing algorithm is employed to globally search while considering the weight relationships between objectives, gradually approaching the optimal solution. Simulation results verify that different weight combinations significantly impact the distribution of workload and production cycle time across workstations. The results show that the proposed method effectively balances multiple objectives, achieves an equitable workload distribution, and optimizes the production cycle time. Particularly, in reducing workload differences between workstations and shortening production cycle time, the proposed model demonstrates strong global optimization capabilities, offering a feasible solution for the practical application of assembly line.

     

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