Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Cumulative Sum Control Charts for Simultaneously Monitoring Means and Variances of Multiple Quality Variables

  • Chang, Duk-Joon (Department of statistics, Changwon National University) ;
  • Heo, Sunyeong (Department of statistics, Changwon National University)
  • Received : 2012.09.18
  • Accepted : 2012.12.21
  • Published : 2012.09.30
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Abstract

Multivariate cumulative sum (CUSUM) control charts for simultaneously monitoring both means and variances under multivariate normal process are investigated. Performances of multivariate CUSUM schemes are evaluated for matched fixed sampling interval (FSI) and variable sampling interval (VSI) features in terms of average time to signal (ATS), average number of samples to signal (ANSS). Multivariate Shewhart charts are also considered to compare the properties of multivariate CUSUM charts. Numerical results show that presented CUSUM charts are more efficient than the corresponding Shewhart chart for small or moderate shifts and VSI feature with two sampling intervals is more efficient than FSI feature. When small changes in the production process have occurred, CUSUM chart with small reference values will be recommended in terms of the time to signal.

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References

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