런 규칙을 가진 X 관리도에 관한 통람
X Control Chart with Runs Rules: A Review
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
After a work of Derman and Ross(1997) that considered simple main runs rules and derived ARL (Average Run Length) using Markov chain modeling, X control chart based on diverse alternative main and supplementary runs rules that is the most popular control chart for monitoring the mean of a process are proposed. This paper reviews and discusses the-state-of-art researches for these runs rules and classifies according to several properties of runs rules. ARL derivation for a proposed runs rule is also illustrated.
Abstract
After a work of Derman and Ross(1997) that considered simple main runs rules and derived ARL (Average Run Length) using Markov chain modeling, X control chart based on diverse alternative main and supplementary runs rules that is the most popular control chart for monitoring the mean of a process are proposed. This paper reviews and discusses the-state-of-art researches for these runs rules and classifies according to several properties of runs rules. ARL derivation for a proposed runs rule is also illustrated.
참고문헌 (20)
- 강분규, "VSI 런-규칙 관리도의 경제적-통계적 설계", 품질경영학회지, 38(2), pp.190~201 (2010), 한국품질경영학회
- 김영복, "런 규칙이 혼합된 슈와르트 관리도의 통계적 설계", 품질경영학회지, 36(3), pp.34~44 (2008), 한국품질경영학회
- 배도선, "최신 품질관리" (1997), 영지문화사
- "KS Q ISO 7873, 경고한계를 갖는 산술평균 관리도", 기술표준원, ~ (2009)
- Acosta-Mejia, C. A., "Two Sets of Runs Rules for the Chart", Quality Engineering, 19, pp.129~136 (2007)
- Antzoulakos, D. L., "The Revised m-of-k Runs Rule", Quality Engineering, 20, pp.75~81 (2008)
- Antzoulakos, D. L., "The Modified r Out of k Control Chart", Communications in Statistics : Simulation and Computation, 37, pp.396~408 (2008)
- Derman, C., "Statistical Aspects of Quality Control" (1997)
- Khoo, M. B. C., "Design of Runs Rules Schemes", Quality Engineering, 16, pp.27~43 (2003)
- Khoo, M. B. C., "Two Improved Runs Rules for the Shewhart X Control Chart", Quality Engineering, 18, pp.173~178 (2006)
- Kim, Y. B., "Economic-Statistical Design of 2-of-2 and 2-of-3 Runs Rule Scheme", Quality and Reliability Engineering International, 25, pp.215~228 (2009)
- Klein, M., "Two Alternatives to the Shewhart X Control Chart", Journal of Quality Technology, 32, pp.427~431 (2000)
- Lim. T. J., "Design of Control Charts with m-of-m Runs Rules", Quality and Reliability Engineering International, 25, pp.1085~1101 (2009)
- Montgomery, D. C., "Introduction to Statistical Quality Control, 6th. ed" (2009), John Wiley & Sons
- Moore, P. G., "Some Properties of Runs in Quality Control Procedures", Biometrika, 45, pp.89~95 (1958)
- Page, E. S., "Control Charts with Warning Lines", Biometrika, 42, pp.243~257 (1955)
- Page, E. S., "A Modified Control Chart with Warning Lines", Biometrika, 49, pp.171~176 (1962)
- Shmueli, G., "Run-Length Distribution for Control Charts with Runs and Scans Rules", Communications in Statistics : Theory and Methods, 32, pp.475~495 (2003)
- Weiler, H., "The Use of Runs to Control the Mean in Quality Control", Annals of Mathematical Statistics, 48, pp.816~825 (1953)
- Western Electric, "Statistical Quality Control Handbook" (1956), Western Electric Corporation