개선된 3 중 2 주 및 보조 런 규칙을 가진 X 관리도의 통계적 설계
Statistical Design of X Control Chart with Improved 2-of-3 Main and Supplementary Runs Rules
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Purpose: This paper introduces new 2-of-3 main and supplementary runs rules to increase the performance of the classical X control chart for detecting small process shifts. Methods: The proposed runs rules are compared with other competitive runs rules by numerical experiments. Nonlinear optimization problem to minimize the out-of-control ARL at a specified shift of process mean for determining action and warning limits at a time is formulated and a procedure to find two limits is illustrated with a numerical example. Results: The proposed 2-of-3 main and supplementary runs rules demonstrate an improved performance over other runs rules in detecting a sudden shift of process mean by simultaneous changes of mean and standard deviation. Conclusion: To increase the performance in the detection of small to moderate shifts, the proposed runs rules will be used with X control charts.
Abstract
Purpose: This paper introduces new 2-of-3 main and supplementary runs rules to increase the performance of the classical X control chart for detecting small process shifts. Methods: The proposed runs rules are compared with other competitive runs rules by numerical experiments. Nonlinear optimization problem to minimize the out-of-control ARL at a specified shift of process mean for determining action and warning limits at a time is formulated and a procedure to find two limits is illustrated with a numerical example. Results: The proposed 2-of-3 main and supplementary runs rules demonstrate an improved performance over other runs rules in detecting a sudden shift of process mean by simultaneous changes of mean and standard deviation. Conclusion: To increase the performance in the detection of small to moderate shifts, the proposed runs rules will be used with X control charts.
참고문헌 (13)
- Acosta-Mejia, C. A., "Two Sets of Runs Rules for the X Chart", Quality Engineering, 19, pp.129~136 (2007)
- Antzoulakos, Demetrios L., "The Revised m-of-k Runs Rule", Quality Engineering, 20, pp.75~81 (2008)
- Antzoulakos, Demetrios L., "The Modified r Out of m Control Chart", Communications in Statistics : Simulation and Computation, 37, pp.396~408 (2008)
- Derman, Cyrus, "Statistical Aspects of Quality Control" (1997), Academic Press
- 강분규, "VSI 런-규칙 관리도의 경제적-통계적 설계", 품질경영학회지, 38(2), pp.190~201 (2010), 한국품질경영학회
- Khoo, Michael B. C., "Two Improved Runs Rules for the Shewhart X Control Chart", Quality Engineering, 18, pp.173~178 (2006)
- 김영복, "런 규칙이 혼합된 슈와르트 관리도의 통계적 설계", 품질경영학회지, 36(3), pp.34~44 (2008), 한국품질경영학회
- Klein, Morton., "Two Alternatives to the Shewhart X Control Chart", Journal of Quality Technology, 32, pp.427~431 (2000)
- "KS Q ISO 7873:2009, Control Charts for Arithmetic Average with Warning Limits", Korea Agencyfor Technology and Standards, ~ (2009)
- Montgomery, Douglas C., "Introduction to Statistical Quality Control. 6th. ed." (2009), John Wiley & Sons
- Maplesoft., "MapleTM, 15" (2011), Maplesoft
- 박진영, "런 규칙을 가진 X 관리도에 관한 통람", 품질경영학회지, 40(2), pp.176~185 (2012), 한국품질경영학회[DOI]
- Western Electric., "Statistical Quality Control Handbook" (1956), Western Electric Corporation