Construction And Economic Design Of Quality Control Charts

Quality control charts are used to judge whether the production process controlled in the actual quality control work. But traditional quality control charts can not meet the needs of process control work in reality. How to design control charts targeted and maximize cost savings of control charts is very important.This paper divides quality control data to many kinds. Different data make different control models. Then make statistical inference based on controlled process. Finally this paper research economic calculation of control charts to find the optimal quality control charts.This paper starts from shewhart control chart, the shewhart control chart for small offset insensitive leads to total control chart model and the weighted moving average control model, through programming, example analysis, this paper thinks the weighted moving average control model is better. Taguchi control charts and elliptical control are control both the mean and variance, this paper thinks Taguchi control charts is better.Secondly this paper makes control models for complex process data. This paper proposes residual control chart and improved EWMA control chart for auto-correlated data. This paper focuses on self-related multivariable control model in multivariate data process, and uses this model in the financial field first time. Trend control chart is better than the residual control chart for trend-based data.This paper analysis process capability after controlled process. Then makes parameter estimation and hypothesis testing of the ordinary course of the process, gives the probability of law and the rejection region misjudged two test methods. This paper gives statistical inference system solutions of process capability indices when data is auto-correlated under normal circumstances firstly. Not only proves the process indices is overvalued under autocorrelation sequence from principle and simulation methods; the other hand the results to be underestimated. And the first propose of the process ability analysis method under autocorrelation data begin in this paper. Finally uses an example to demonstration.Finally this paper does economic research for quality control charts. This paper design sampling interval, sample size and control limits of control charts to make the minimum cost control charts. This paper extends economic control model to the median control chart and the range control chart based on the classical model, and extends to the standard deviation control chart firstly. Then this paper inrtoduced economic calculation of mean control model based on taguchi quality loss and economic statistics model of control charts. Then makes sensitivity tests of various parameters in these models, analysis reasons of cost change theoretical, and proposes economic control statistic model which used the typeⅠprobability, detection efficiency of the process, and out of control average run time for new constraints in economic statistics model of control charts first time. Economic statistics thought will be fully through to the various control charts.This article according to four steps:principles introduction, algorithm, function and application, and formats a large number of available functions, implementation of the algorithm.