具有嵌套性和自相关性的制造过程质量控制方法
Quality Control Method of Manufacturing Processes with Nestedness and Auto-Correlation
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摘要: 研究了当制造过程具有嵌套性和自相关性时的质量控制问题,结合嵌套性和自相关性的特性进行混合建模。提出了新的质量控制方法,即以嵌套控制模型为框架,引入自协方差函数和自相关函数,建立了嵌套自相关控制模型,并给出了控制图的建立步骤。由分析可知,自相关函数值越大,嵌套自相关控制图的控制限越大;当样本容量n较小时,自相关性对控制限的影响更突出。应用实例验证了该方法的有效性。Abstract: This paper discusses the quality control method of nestedness and auto-correlation manufacturing processes. A novel quality control model based on hybrid modeling is presented, which is combined with the characteristics of nestedness and auto-correlation. By taking nested control model as a framework and introducing auto-covariance function and auto-correlation function, the nested auto-correlation control model is established and the steps for the control chart are presented. The analysis of the model shows that the larger the auto-correlation function value is, the greater the control limit of nested auto-correlation control chart is; and the effect of autocorrelation to the control limit is more prominent when the sample size is smaller. Finally, an example is given to demonstrate the effectiveness of the presented approach.