Quality Control Method of Manufacturing Processes with Nestedness and Auto-Correlation

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.