系统工程与电子技术 ›› 2019, Vol. 41 ›› Issue (1): 131-140.doi: 10.3969/j.issn.1001-506X.2019.01.19

• 系统工程 • 上一篇    下一篇

模型参数不确定的多响应参数和容差并行设计

韩云霞1, 马义中1, 欧阳林寒2, 汪建均1, 顾晓光1   

  1. 1. 南京理工大学经济管理学院, 江苏 南京 210094;
    2. 南京航空航天大学经济与管理学院, 江苏 南京 211106
  • 出版日期:2018-12-29 发布日期:2018-12-27

Multi-response parameters and tolerances concurrent design with model parameter uncertainty

HAN Yunxia1, MA Yizhong1, OUYANG Linhan2, WANG Jianjun1, GU Xiaoguang1   

  1. 1. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China;
    2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Online:2018-12-29 Published:2018-12-27

摘要:

针对模型参数不确定性问题,提出了一种考虑质量损失和制造成本的多响应参数和容差并行设计策略。首先,根据模型参数不确定与设计变量容差,构建多响应的质量损失函数;其次,通过试验数据建立容差成本模型,进而构建参数和容差并行设计的优化目标函数;然后,根据多目标优化算法得到最优参数和容差的Pareto解集,并采用单因素多元方差分析进行容差配置;最后,通过实际案例分析表明,该方法不仅改善了模型的预测性和稳健性能,而且获得了质量损失与制造成本之间的最佳平衡点,与传统的方法相比,能够在显著降低总成本的同时提高产品质量。

Abstract:

A multi-response parameters and tolerances concurrent optimization strategy, considering quality loss and manufacturing cost, is proposed to solve the problem of model parameter uncertainty. Firstly, multi-response quality loss function is developed based on model parameter uncertainty and the tolerances of design variables. Secondly, tolerance cost model is built according to experimental data, and then the concurrent optimization objective function of parameters and tolerance design is proposed. Optimal Pareto solutions for the optimal parameters and tolerances are obtained from multiobjective optimization algorithm, and onefactor multivariate analysis of variance is used to allocate tolerances. Finally, a practical example demonstrates that the proposed method not only can improve robustness and the performance of the model prediction, but also can maintain the optimal tradeoffs between quality loss and manufacturing cost. That is, the proposed method performs better than traditional methods on quality improvement and cost reduction.