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로버스트 추정에 근거한 수정된 x-s 관리도의 설계

Design of Modified x-s Control Chart based on Robust Estimation

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주제분류산업공학

초록

Control charts are generally used for process control, but the role of traditional control charts have been limited in case of a non-contaminated process. Traditional x-s control chart has not been activated well for such a problem because of trying to control processes as center line and control limits changed by the contaminated value. This paper suggests modified x-s control chart based on robust estimation. In this paper, we consider the trimmed mean of the sample means and the trimmed mean of the sample standard deviations. By comparing with ARL value, the responding results are decided. The comparison resultant results of traditional control chart and modified control chart are contrasted.

Abstract

Control charts are generally used for process control, but the role of traditional control charts have been limited in case of a non-contaminated process. Traditional x-s control chart has not been activated well for such a problem because of trying to control processes as center line and control limits changed by the contaminated value. This paper suggests modified x-s control chart based on robust estimation. In this paper, we consider the trimmed mean of the sample means and the trimmed mean of the sample standard deviations. By comparing with ARL value, the responding results are decided. The comparison resultant results of traditional control chart and modified control chart are contrasted.

참고문헌 (7)

  1. 정영배, "공정능력지수에 대한 비교와 적용", 산업경영시스템학회지, 30(4), pp.182~189 (2007), 한국산업경영시스템학회
  2. 정영배, "위치모수를 이용한 로버스트 x 관리도의 설계", 산업경영시스템학회지, 37(1), pp.151~156 (2014), 한국산업경영시스템학회
  3. 김용준, "오염된 공정을 위한 로버스트 관리도의 설계", 품질경영학회지, 40(3), pp.327~336 (2012), 한국품질경영학회[DOI]
  4. 김동혁, "경제적 손실을 고려한 기대손실 관리도의 설계", 산업경영시스템학회지, 36(2), pp.56~62 (2013), 한국산업경영시스템학회[DOI]
  5. Rocke, D.M., "Robust Control Charts", Technometrics, 31(2), pp.173~184 (1989)
  6. Schoonhoven, M., "Design and Analysis of Control Charts for Standard Deviation with Estimated Parameters", Journal of Quality Technology, 43(4), pp.307~333 (2011)
  7. Schoonhoven, M., "A Robust Standard Deviation Control Chart", Technometrics, 54(1), pp.73~82 (2012)

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