A comparison of T 2 control charts with variable sampling schemes as opposed to MEWMA chart

Variable sampling plans have been widely employed to increase the power of control charts, mainly for the univariate case. In this paper, a T 2 control chart with variable sample size and variable sampling frequency is developed. Near optimum schemes are obtained to detect faster shifts in the mean vector. A comparison with a MEWMA chart is made.

[1]  E. S. Page CONTINUOUS INSPECTION SCHEMES , 1954 .

[2]  James M. Lucas,et al.  Exponentially weighted moving average control schemes: Properties and enhancements , 1990 .

[3]  Antonio Fernando Branco Costa,et al.  X̄ charts with variable sample size , 1994 .

[4]  Douglas C. Montgomery,et al.  Evaluation of a three-state adaptive sample size X control chart , 1998 .

[5]  Marion R. Reynolds,et al.  Variable Sampling Interval X Charts in the Presence of Correlation , 1996 .

[6]  R. Crosier Multivariate generalizations of cumulative sum quality-control schemes , 1988 .

[7]  J. B. Keats,et al.  X¯ chart with adaptive sample sizes , 1993 .

[8]  Francisco Aparisi,et al.  Hotelling's T2 control chart with adaptive sample sizes , 1996 .

[9]  S. W. Roberts,et al.  Control Chart Tests Based on Geometric Moving Averages , 2000, Technometrics.

[10]  George C. Runger,et al.  Adaptative sampling for process control , 1991 .

[11]  Douglas C. Montgomery,et al.  ADAPTIVE SAMPLING ENHANCEMENTS FOR SHEWHART CONTROL CHARTS , 1993 .

[12]  Changsoon Park,et al.  Economic Design of a Variable Sampling Rate X-bar Chart , 1999 .

[13]  Do Sun Bai,et al.  Variable sampling interval X̄ control charts with an improved switching rule , 2002 .

[14]  John C. Young,et al.  A Practical Approach for Interpreting Multivariate T2 Control Chart Signals , 1997 .

[15]  D. Montgomery,et al.  A Combined Adaptive Sample Size and Sampling Interval X Control Scheme , 1994 .

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

[17]  George C. Runger,et al.  Comparison of multivariate CUSUM charts , 1990 .

[18]  Antonio Fernando Branco Costa,et al.  Joint X̄ and R Charts with Variable Sample Sizes and Sampling Intervals , 1999 .

[19]  Antonio Fernando Branco Costa,et al.  X̄ Chart with Variable Sample Size and Sampling Intervals , 1997 .

[20]  Nola D. Tracy,et al.  Multivariate Control Charts for Individual Observations , 1992 .

[21]  Francisco Aparisi,et al.  Hotelling's T2 control chart with variable sampling intervals , 2001 .

[22]  Marion R. Reynolds,et al.  Optimal one-sided shewhart control charts with variable sampling intervals , 1989 .