The Design of the Multivariate Synthetic Exponentially Weighted Moving Average Control Chart

A multivariate synthetic exponentially weighted moving average (MSEWMA) control chart is presented in this study. The MSEWMA control chart consists of a multivariate exponentially weighted moving average (MEWMA) control chart and a conforming run length control chart. The average run length of the MSEWMA control chart is obtained using a Markov chain approach. From the numerical comparisons, it is shown that the MSEWMA control chart is more efficient than the multivariate synthetic T 2 control chart and the MEWMA control chart for detecting shifts in the process mean vector.

[1]  Francisco Aparisi,et al.  The Design and Performance of the Multivariate Synthetic-T 2 Control Chart , 2009 .

[2]  Zhang Wu,et al.  A Multivariate Synthetic Control Chart for Monitoring the Process Mean Vector of Skewed Populations Using Weighted Standard Deviations , 2009, Commun. Stat. Simul. Comput..

[3]  Patrick D. Bourke,et al.  Detecting a shift in fraction nonconforming using runlength control charts with 100% inspection , 1991 .

[4]  William H. Woodall,et al.  Evaluating and Improving the Synthetic Control Chart , 2002 .

[5]  Maria E. Calzada,et al.  THE ROBUSTNESS OF THE SYNTHETIC CONTROL CHART TO NON-NORMALITY , 2001 .

[6]  D. T. Shirke,et al.  A Multivariate Synthetic Control Chart for Monitoring Process Mean Vector , 2008 .

[7]  Trevor A Spedding,et al.  A Synthetic Control Chart for Detecting Small Shifts in the Process Mean , 2000 .

[8]  D. T. Shirke,et al.  A Multivariate Synthetic Control Chart for Process Dispersion , 2008 .

[9]  H. J. Huang,et al.  A synthetic control chart for monitoring process dispersion with sample standard deviation , 2005, Comput. Ind. Eng..

[10]  Trevor A Spedding,et al.  A Synthetic Control Chart for Detecting Fraction Nonconforming Increases , 2001 .

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

[12]  George C. Runger,et al.  A Markov Chain Model for the Multivariate Exponentially Weighted Moving Averages Control Chart , 1996 .

[13]  Maria E. Calzada,et al.  The Generalized Synthetic Chart , 2009 .

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

[15]  H.-J. Huang,et al.  A synthetic control chart for monitoring process dispersion with sample range , 2005 .