VSI 런-규칙 관리도의 경제적-통계적 설계
Economic-Statistical Design of VSI Run Rules Charts
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초록
This research proposes a method for designing VSI (Variable Sampling Interval) control charts with supplementary run rules. The basic idea is to apply various run rules and the VSI scheme to a control chart in order to increase the sensitivity. The sampling process of the VSI run rules chart is constructed by Markov chain approach. A procedure for designing the VSI run rules chart is proposed based on Lorenzen and Vance's model. Sensitivity study shows that the VSI run rules charts outperform the FSI (Fixed Sampling Interval) run rules charts for wide range of process mean shifts. A major advantage of the VSI run rules chart over other charts such as CUSUM, EWMA, and adaptive charts is it’s simplicity in implementation. Some useful guidelines are proposed based on the sensitivity study
Abstract
This research proposes a method for designing VSI (Variable Sampling Interval) control charts with supplementary run rules. The basic idea is to apply various run rules and the VSI scheme to a control chart in order to increase the sensitivity. The sampling process of the VSI run rules chart is constructed by Markov chain approach. A procedure for designing the VSI run rules chart is proposed based on Lorenzen and Vance's model. Sensitivity study shows that the VSI run rules charts outperform the FSI (Fixed Sampling Interval) run rules charts for wide range of process mean shifts. A major advantage of the VSI run rules chart over other charts such as CUSUM, EWMA, and adaptive charts is it’s simplicity in implementation. Some useful guidelines are proposed based on the sensitivity study
참고문헌 (20)
- Acosta-Mejia,C.A, "Two Sets to Runs Rules for the Chart", Quality Engineering, 19, pp.129~136 (2007)
- Amin,R.W, "Improved switching rules in control procedures using variable sampling intervals", Commun Stat Simul Comput, 20, pp.205~230 (1991)
- Champ,C.W, "Exact Results for Shewhart Control Charts With Supplementary Runs Rules", Technometrics, 29(4), pp.393~399 (1987)
- Costa,A.F.B, "X Charts with Variable Sample Size", Journal of Quality Technology, 26(3), pp.155~163 (1994)
- Costa,A.F.B, "X Charts with Variable Sample Size and Sampling Intervals", Journal of Quality Technology, 29(2), pp.197~204 (1997)
- Das T.K, "Economic Design of Dual-Sampling-Interval Policies for X Charts with and without Run Rules", IIE. Transactions, 29, pp.497~506 (1997)
- Duncan,A.J, "The Economic Design of X Charts Used to Maintain Current Control of a Process", Journal of the American Statistical Association, 51(274), pp.228~242 (1956)
- Khoo,M.B.C, "Two Improved Runs rules for the Shewhart Control Chart", Jounal of Quality Technology, 32, pp.427~431 (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)
- Lorenzen,T.J, "The Economic Design of Control Charts:A Unified Approach", Technometrics, 28(3), pp.3~10 (1986)
- Montgomery,D.C, "Introduction to Statistical Quality Control" (2001), Wiley
- Page,E.S, "A modified control chart with warning lines", Biometrika, 49, pp.171~176 (1962)
- Parkhideh,S, "The economic design of a flexible zone chart with AT&T rules", IIE Trans., 28(3), pp.261~266 (1996)
- Parkhideh,S, "Design of a flexible zone individuals control chart", Jour. Prod, Econ., 36(8), pp.2259~2267 (1998)
- Prabhu,S.S, "X Chart with Adaptive Sample Sizes", International Journal of Production Research, 31, pp.2895~2909 (1993)
- Prabhu,S.S, "A Combined Adaptive Sample Size and Sampling Interval X Control Chart Scheme", Journal of Quality Technology, 26(3), pp.164~176 (1994)
- Prabhu,S.S, "Economic-Statistical Design of Adaptive X Chart", International Journal of Production Economics, 49(1), pp.1~15 (1997)
- Reynolds,M.R, "X Charts with Variable Sampling Intervals", Technometrics, 30(2), pp.181~192 (1988)
- Tagaras,G, "A Survey of Recent Developments in the Design of Adaptive Control Charts", Journal of Quality Technology, 30(3), pp.212~231 (1998)
