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Design of the Robust CV Control Chart using Location Parameter

위치모수를 이용한 로버스트 CV 관리도의 설계

  • Chun, Dong-Jin (Department of Industrial and Management Engineering Incheon National University) ;
  • Chung, Young-Bae (Department of Industrial and Management Engineering Incheon National University)
  • 전동진 (인천대학교 산업경영공학과) ;
  • 정영배 (인천대학교 산업경영공학과)
  • Received : 2016.02.08
  • Accepted : 2016.03.16
  • Published : 2016.03.31

Abstract

Recently, the production cycle in manufacturing process has been getting shorter and different types of product have been produced in the same process line. In this case, the control chart using coefficient of variation would be applicable to the process. The theory that random variables are located in the three times distance of the deviation from mean value is applicable to the control chart that monitor the process in the manufacturing line, when the data of process are changed by the type of normal distribution. It is possible to apply to the control chart of coefficient of variation too. ${\bar{x}}$, s estimates that taken in the coefficient of variation have just used all of the data, but the upper control limit, center line and lower control limit have been settled by the effect of abnormal values, so this control chart could be in trouble of detection ability of the assignable value. The purpose of this study was to present the robust control chart than coefficient of variation control chart in the normal process. To perform this research, the location parameter, ${\bar{x_{\alpha}}}$, $s_{\alpha}$ were used. The robust control chart was named Tim-CV control chart. The result of simulation were summarized as follows; First, P values, the probability to get away from control limit, in Trim-CV control chart were larger than CV control chart in the normal process. Second, ARL values, average run length, in Trim-CV control chart were smaller than CV control chart in the normal process. Particularly, the difference of performance of two control charts was so sure when the change of the process was getting to bigger. Therefore, the Trim-CV control chart proposed in this paper would be more efficient tool than CV control chart in small quantity batch production.

Keywords

References

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