Development of CV Control Chart Using EWMA Technique

EWMA 기법을 적용한 CV 관리도의 개발

  • Hong, Eui-Pyo (Dept. of Information and Industrial Engineering, Hanyang University) ;
  • Kang, Chang-Wook (Dept. of Information and Industrial Engineering, Hanyang University) ;
  • Baek, Jae-Won (Dept. of Industrial Engineering, Hanyang University) ;
  • Kang, Hae-Woon (Dept. of Industrial Engineering, Hanyang University)
  • 홍의표 (한양대학교 정보경영공학과) ;
  • 강창욱 (한양대학교 정보경영공학과) ;
  • 백재원 (한양대학교 산업공학과) ;
  • 강해운 (한양대학교 산업공학과)
  • Published : 2008.12.31

Abstract

The control chart is widely used statistical process control(SPC) tool that searches for assignable cause of variation and detects any change of process. Generally, ${\bar{X}}-R$ control chart and ${\bar{X}}-S$ are most frequently used. When the production run is short and process parameter changes frequently, it is difficult to monitor the process using traditional control charts. In such a case, the coefficient of variation (CV) is very useful for monitoring the process variability. The CV control chart is an effective tool to control the mean and variability of process simultaneously. The CV control chart, however, is not sensitive at small shift in the magnitude of CV. In this paper, we propose an CV-EWMA (exponentially weighted moving average) control chart which is effective in detecting a small shift of CV. Since the CV-EWMA control chart scheme can be viewed as a weighted average of all past and current CV values, it is very sensitive to small change of mean and variability of the process. We suggest the values of design parameters and show the results of the performance study of CV-EWMA control chart by the use of average run length (ARL). When we compared the performance of CV-EWMA control chart with that of the CV control chart, we found that the CV-EWMA control chart gives longer in-control ARL and much shorter out-of-control ARL.

Keywords

References

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