论文信息 - Computation of the Performance of Shewhart Control Charts

Computation of the Performance of Shewhart Control Charts

Abstract The perfonnance of a control chart in statistical process control is often quantified in terms of the Average Run length (ARL). The ARL enables a comparison to be undertaken between various monitoring strategies. These are often detennined through Monte Carlo simulation studies. Monte Carlo simulations are time consuming and if too few runs are perfonned then the results will be inaccurate. An alternative approach is proposed based on analytical computation. The analytical results are compared with those of the Monte Carlo simulations for three case studies.

Julian Morris | Elaine B. Martin | Pieter Mulder

[1] Douglas C. Montgomery,et al. Introduction to Statistical Quality Control , 1986 .

[2] Lynn D. Torbeck,et al. Statistical Process Control: Theory and Practice , 1992 .

[3] Arthur B. Yeh,et al. A multivariate exponentially weighted moving average control chart for monitoring process variability , 2003 .

[4] Douglas C. Montgomery,et al. Some Statistical Process Control Methods for Autocorrelated Data , 1991 .

[5] Wolfgang Schmid,et al. On the run length of a Shewhart chart for correlated data , 1995 .

[6] Charles W. Champ,et al. A multivariate exponentially weighted moving average control chart , 1992 .

[7] Herbert Moskowitz,et al. Run-Length Distributions of Special-Cause Control Charts for Correlated Processes , 1994 .

[8] Athanasios Papoulis,et al. Probability, Random Variables and Stochastic Processes , 1965 .

[9] Jianjun Shi,et al. The GLRT for statistical process control of autocorrelated processes , 1999 .

[10] I. Miller. Probability, Random Variables, and Stochastic Processes , 1966 .

[11] T. Harris,et al. Statistical process control procedures for correlated observations , 1991 .

[12] Layth C. Alwan,et al. Time-Series Modeling for Statistical Process Control , 1988 .

[13] Gwilym M. Jenkins,et al. Time series analysis, forecasting and control , 1971 .

[14] D. A. Evans,et al. An approach to the probability distribution of cusum run length , 1972 .