Application Of Bayesian Theory In Quality Control For Small Batch Production

To realize the function of quickly identify unusual features of Bayesian quality control chart under certain production conditions,a Bayesian rapid identification control chart,which combines economic analysis and process simulation is constructed.In this control chart,the rapid identification function is based on the optimal economic indicators to set the optimal control limits and operating rules,which achieves the two-way function of economic and rapid identification;To analyze the statistical performance of Bayesian control chart with economic analysis,the average run length(ARL)difference efficiency are applied as the performance index with Monte Carlo simulation simulation technology.Finally,the Bayesian rapid identification control chart is compared with the traditional Shewhart control chart and the current general economic control chart for comparative analysis.In the multi-variety small batch production mode,the statistical performance of the unit Bayesian control chart can not fully realize the process monitoring.Aiming at the complex mechanical and electrical products quality control and early warning problems,a performance analysis model of control chart,which combines the multivariate Bayesian statistical method with the economic performance analysis is constructed.In the solution model,a FT VSI strategy is used in the multivariate Bayesian control chart.If a small probability of random failure occurs,then a loose sampling scheme is selected;Oherwise,a strict sampling program is applied.To quantify the correlation between the economic and the statistical performance of the multivariate Bayesian control chart,a quality control model based on Monte Carlo simulation is used and the ANOSE(Average Number of Observations to Signals or End of the production run)is taken under different economic parameters,which performs the degree of influence of the statistical performance of the control chart.In addition,the relationship between the quality control cost and the false alarm rate of the multi-Bayesian control chart is explained.Finally,for instance,a multiple quality control process of the phone speaker is used to verify the performance evaluation and optimization of the multivariate FT VSI Bayesian control chart.The results show that the method has a better application.