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工业大数据驱动的高维过程质量稳健监控模型
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作者单位:

1.河南工程学院质量管理系;2.郑州大学商学院

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中图分类号:

TH166;TG506

基金项目:

国家自然科学基金资助项目(U1904211,71672182),河南省科技攻关项目(232102211040)


Construction and Optimization of Robust Quality Monitoring Model in High-dimensional Process Motivated by Industrial Big Data
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Affiliation:

1.Department of Quality Management Engineering,Henan University of Engineering,Zhengzhou Henan;2.China;3.School of Busniess,Zhengzhou University,Zhengzhou Henan

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    摘要:

    在工业大数据环境下,由于存在变量维度高、价值密度低、存在离群点等因素,监控模型难以准确挖掘海量数据中关键波动信息,容易产生较高的误警率高,影响产品生产质量。为解决监控效率差的问题,提出一种基于最小行列式法和变量选择算法的高维过程稳健监控模型。首先,运用MCD方法估计稳健的均值向量和协方差矩阵;其次,构建似然比检验统计量,通过增加惩罚项得到变量选择优化函数;然后,将MCD和变量选择相结合得到稳健的监控统计量,利用蒙特卡洛方法得到监控用控制限;最后,通过仿真数据和薄膜沉积过程实际数据对所提方法进行实证研究。结果表明,本文所提方法相比于Hotelling T2和VS控制图更具良好性能,在存有离群点的高维过程质量监控中具有稳健性,准确识别过程异常波动。

    Abstract:

    In the environment of industrial big data, the observation has high-dimensional, low value density and outlier. It is difficult to dig the important variation information from mass data, which will lead to a high false alarm rate and affect the product quality. To overcome this problem, a novelty robust monitoring model in the high-dimensional process was proposed based on minimum covariance determinant estimation and variable selection algorithm. First, the mean vector and covariance matrix can be obtained by MCD method; Second, the objective function of variable selection algorithm can be modeled by adding a penalty term, which can be applied to recognize the potential abnormal variables; Third, the final monitoring statistic can be established, and the control limits can be calculated by Monte Carlo method; In the last, the simulation and real example were applied to verify the performance of proposed method. The result shown that the proposed robust variable selection control chart outperforms than Hotelling T2 and conventional variable selection control chart, because the proposed chart can detect the outliers from the massive observations, which makes the monitoring model more robust.

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历史
  • 收稿日期:2024-02-12
  • 最后修改日期:2024-04-17
  • 录用日期:2024-04-24
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