The Comparison among Three Control Charts for Monitoring the Auto Correlated Processes

Article Preview

Abstract:

We compare the ARL of three charts for monitoring the mean shifts of the first-order auto regressive model to choose a proper control chart. Simulation results show that the REWMA chart has a large superior to the EWMA and T2 the chart when -1<Ø<0, but when Ø>0, the chart is better than the other two charts.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1579-1583

Citation:

Online since:

January 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Sun, J. The Residual Control Chart for monitoring Autocorrelated Processes. Journal of Tsinghua University, 2002, 42(6): 735-738.

Google Scholar

[2] Apley, D. W. and Tsung, F. The Autoregressive Chart for Monitoring Univariate Autocorrelated Processes[J]. Journal of Quality Technology, 2002, 34: 80-96.

DOI: 10.1080/00224065.2002.11980131

Google Scholar

[3] Wang, Z. J., Zou, C. L., and Li, Z. H. (2013). The Theory and Methods of Statistical Quality Control Charts. Tianjin: Science Press.

Google Scholar

[4] George E. P. Box., Gwilym M. Jenkins. and Gregory C. Reinsel. (2011). Time Series Analysis: Forcasting and Control. Beijing: China Machine Press.

Google Scholar

[5] Mousavi S. and Reynolds M. R. A CUSUM Chart for Monitoring a Proportion with Autocorrelated Binary Observations[J]. Journal of Quality Technology, 2009, 41(4): 401-414.

DOI: 10.1080/00224065.2009.11917794

Google Scholar

[6] Krieger, C. A., Champ, C. W. and Alwan, L. C. Monitoring an Autocorrelated Process[C]. In: The Pittsburgh Conference on Modeling and Simulation, Pittsburgh, Pennsylvania, (1992).

Google Scholar

[7] Lu, C. W. and Reynolds, M. R. EWMA Control Charts for Monitoring the Mean of Autocorrelated Processes[J]. Journal of Quality Technology, 1999, 31: 166-168.

DOI: 10.1080/00224065.1999.11979913

Google Scholar

[8] Jiang, Wei. Multivariate Control Charts for Monitoring Autocorrelated Processes[J]. Journal of Quality Technology, 2004, 36: 367-379.

DOI: 10.1080/00224065.2004.11980284

Google Scholar