A new variable sampling control scheme at fixed times for monitoring the process dispersion

The variable sampling rate (VSR) schemes for detecting the shift in process mean have been extensively analyzed; however, adding the VSR feature to the control charts for monitoring process dispersion has not been thoroughly investigated. In this research, a novel VSR control scheme, sequential exponentially weighted moving average inverse normal transformation (EWMA INT) at fixed times chart (called (SEIFT) chart), which integrates the sequential EWMA scheme at fix times with the INT statistic, is proposed to detect both the increase and decrease in process dispersion. Moreover, the sample size at each sampling time is also allowed to vary. The Markov chain method is used to evaluate the performance of this new control chart. Numerical analysis reveals that this SEIFT chart gives significant improvement on detection ability than the fixed sampling rate schemes. Compared with other control schemes, the good properties of the INT statistic makes this SEIFT chart easy to design and convenient to implement. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  Marion R. Reynolds,et al.  Multivariate Monitoring of the Process Mean Vector with Sequential Sampling , 2005 .

[2]  Smiley W. Cheng,et al.  Monitoring Process Mean and Variability with One EWMA Chart , 2001 .

[3]  Marion R. Reynolds,et al.  Control charts applying a general sequential test at each sampling point , 1996 .

[4]  Fah Fatt Gan,et al.  A CUMULATIVE SUM CONTROL CHART FOR MONITORING PROCESS VARIANCE , 1995 .

[5]  William H. Woodall,et al.  CUSUM charts with variable sampling intervals , 1990 .

[6]  Marion R. Reynolds,et al.  Variable-sampling-interval control charts with sampling at fixed times , 1996 .

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

[8]  Yu-Chang Lin,et al.  Adaptive ―X Control Charts with Sampling at Fixed Times , 2005 .

[9]  Stephen V. Crowder,et al.  An EWMA for Monitoring a Process Standard Deviation , 1992 .

[10]  Marion R. Reynolds,et al.  The SPRT control chart for the process mean with samples starting at fixed times , 2001 .

[11]  J. A. Nachlas,et al.  X charts with variable sampling intervals , 1988 .

[12]  Zachary G. Stoumbos,et al.  Control charts applying a sequential test at fixed sampling intervals with optional sampling at fixed times , 1993 .

[13]  George Tagaras A Survey of Recent Developments in the Design of Adaptive Control Charts , 1998 .

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

[15]  C. Quesenberry On Properties of Q Charts for Variables , 1995 .

[16]  Marion R. Reynolds,et al.  CUSUM Control Charts with Variable Sample Sizes and Sampling Intervals , 2001 .

[17]  CESAR A. Acosta-Mejia,et al.  A comparison of control charting procedures for monitoring process dispersion , 1999 .

[18]  Fah Fatt Gan,et al.  Optimal designs of one-sided ewma charts for monitoring a process variance , 1994 .