The Optimization Design Method of Multivariate Control Chart with Adaptive Sample Size

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Abstract:

ARL (Average Run Length) is used as a tool to measure the performance of control chart. But it isn’t very accurate. In this paper, APL (Average Product Length) is used as a criterion of multivariate control chart performance assessment and a multivariate chart with adaptive sample size is proposed. A Markov chain method is proposed to calculate the APL of multivariate chart with adaptive sample size and then the optimization design method of this chart is discussed. By comparing with traditional fixed sample size design method, we can find that this method have higher efficiency.

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Advanced Materials Research (Volumes 403-408)

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4108-4113

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Montgomery, D. C. and Mastrangelo, C. M., Some statistical process control methods for autocorrelated data. Journal of Quality Technology, Vol. 23(1991), p.179.

DOI: 10.1080/00224065.1991.11979321

Google Scholar

[2] Lowry, C.A. A Review of Multivariate Control Charts. IIE Transactions, Vol. 27 (1995), p.800.

Google Scholar

[3] Hotelling, H. Multivariate Quality Control. Techniques of Statistical Analysis, (1947), p.113.

Google Scholar

[4] Alt, F.A. Multivariate Quality Control. The Encyclopedia of Statistical Sciences, (1984), p.110.

Google Scholar

[5] Jackson, J.E. Multivariate Quality Control. Communications in Statistic, Vol. 14 (1985), p.2657.

Google Scholar

[6] Wierda, S.J. Multivariate Statistical Process Control – Recent Results and Directions for Further Research. Statistical Neerlandica, Vol. 48 (1994), p.147.

DOI: 10.1111/j.1467-9574.1994.tb01439.x

Google Scholar

[7] Mcgregor, J.F. SPC of Multivariate Processes. Control Engineering Practice, Vol. 3(1995), p.403.

Google Scholar

[8] Healy, J.D. A Note on Multivariate CUSUM Procedures. Technometrics, Vol. 29 (1987), p.409.

DOI: 10.1080/00401706.1987.10488268

Google Scholar

[9] Crosier, R.B. Multivariate Generalizations of CUSUM. Technometrics, Vol. 30 (1988), p.291.

Google Scholar

[10] Pignatiello, J. J, Runger, G.C. Comparisons of Multivariate CUMSUM Charts. Journal of Quality Technology, Vol. 22 (1990), p.173.

DOI: 10.1080/00224065.1990.11979237

Google Scholar

[11] Woodall, W.H. Multivariate CUSUM Qualtiy Control Procedures. Technometrics, Vol. 27 (1985), p.285.

DOI: 10.1080/00401706.1985.10488053

Google Scholar

[12] Lowry, C.A. and W.H. Woodall, A Multivariate Exponentially Weighted Moving Average Control Chart. Technometrics, Vol. 34 (1992), p.46.

DOI: 10.2307/1269551

Google Scholar

[13] Aparisi, F. Hotelling T2 Control Chart with Adaptive Sample Sizes. International Journal of Product Research, Vol. 34 (1996), p.2853.

Google Scholar

[14] J. Bert Keats, John D. Miskulin, George C. Runger. Statistical Process Control Scheme Design. Journal of Quality Technology, Vol. 27 (1995), p.231.

DOI: 10.1080/00224065.1995.11979594

Google Scholar