Non-normality and combined double sampling and variable sampling interval control charts

A combination of double sampling the chart and the variable sampling interval of the chart (DSVSI chart) increases the sensitivity in the small shift detection. A usual assumption of control charts is that the process observations are normally distributed. However, this assumption may not be true for some processes in the real industry. This paper presented the performance of DSVSI chart under non-normality and compared it with the Shewhart chart and the variable parameters chart. The compared results show that the DSVSI chart has the best performance in detecting small process mean shifts.

[1]  Jean-Jacques Daudin,et al.  Double sampling X charts , 1992 .

[2]  Steven A. Yourstone,et al.  Non‐Normality and the Design of Control Charts for Averages* , 1992 .

[3]  Antonio Fernando Branco Costa,et al.  X̄ Charts with Variable Parameters , 1999 .

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

[5]  Stelios Psarakis,et al.  An Examination of the Robustness to Non Normality of the EWMA Control Charts for the Dispersion , 2005 .

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

[7]  Shih-Chou Kao,et al.  Robustness of R-Chart to Non Normality , 2007, Commun. Stat. Simul. Comput..

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

[9]  L. K. Chan,et al.  Robustness of mean E(X) and R charts , 1988 .

[10]  Yu-Chang Lin,et al.  On the design of variable sample size and sampling intervals X¯ charts under non-normality , 2005 .

[11]  Marion R. Reynolds,et al.  Robustness to non-normality and autocorrelation of individuals control charts , 2000 .

[12]  Pei-Hsi Lee,et al.  ARL Performance of the Tukey's Control Chart , 2008, Commun. Stat. Simul. Comput..

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

[14]  J. M. Jabaloyes,et al.  Combined double sampling and variable sampling interval X chart , 2002 .

[15]  Connie M. Borror,et al.  Robustness of the EWMA Control Chart to Non-Normality , 1999 .

[16]  Yu-Chang Lin,et al.  Robustness of the Variable Sample Size and Control Limit ¯X Chart to Non Normality , 2005 .

[17]  J. Daudin,et al.  Double Sampling Charts , 1992 .

[18]  Yu-Chang Lin,et al.  Non-normality and the variable parameters X control charts , 2007, Eur. J. Oper. Res..