통합자연과학논문집 (Journal of Integrative Natural Science)

조선대학교 기초과학연구원 (The Basic Science Institute Chosun University)
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Combined VSI EWMA Chart with Accumulate-Combine Method for Moderate or Small Shifts

  • 투고 : 2022.02.21
  • 심사 : 2022.03.18
  • 발행 : 2022.03.31
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초록

In a multivariate normal production process Np(µ,Σ), a chart combining three EWMA charts with accumulate-combine method for µ, variance components of Σ, and off-diagonal elements of Σ, into a EWMA (exponentially weighted moving average) chart is considered, which is called a combined EWMA chart. Through simulation work, the proposed combined EWMA chart's numerical performance and properties are examined. The simulation results show that the proposed combined EWMA chart, which is simultaneously monitoring all the process parameters of multivariate normal production process, works effectively in the perspective of means, variances and correlation coefficients. In addition, the combined EWMA chart is extended to VSI chart.

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참고문헌

  1. R. B. Crosier, "Multivariate Generalization of Cumulative Sum Quality-Control Scheme", Technometrics, Vol. 30, pp 291-303, 1988. https://doi.org/10.1080/00401706.1988.10488402
  2. C. A. Lowry, W. H. Woodall, C. W. Champ and S. E. Rigdon. "A Multivariate Exponentially Weighted Moving Average Control Charts", Technometrics, Vol. 34, pp 46-53. 1992. https://doi.org/10.2307/1269551
  3. R. W. Amin and W. C. Letsinger, "Improved Switching Rules in Control Procedures using Variable Sampling Intervals", Communications in Statistics-Simulation and Computation, Vol. 20, pp. 205-230, 1991. https://doi.org/10.1080/03610919108812949
  4. R. W. Amin and R. Hemasinha, "The Switching Behavior of X Charts with Variable Sampling Intervals", Communications in Statistics-Theory and Methods, Vol. 22, pp. 2081-2102, 1993. https://doi.org/10.1080/03610929308831136
  5. S. E. Shamma, R. W. Amin, and A. K. Shamma, "A Double Exponentially Weighted Moving Average Control Procedure with Variable Sampling Intervals", Communications in Statistics-Simulation and Computation, Vol. 20, pp. 511-528, 1991. https://doi.org/10.1080/03610919108812969
  6. M. R., Jr. Reynolds and J. C. Arnold, "Optimal One-Sided Shewhart Control Chartswith Variable Sampling Intervals between Samples", Sequential Analysis, Vol.8, pp. 51-77, 1989. https://doi.org/10.1080/07474948908836167
  7. D. J. Chang and J. K. Shin, "Multivariate Cumulative Sum Control Chart for Dispersion Matrix", Journal of the Korean Data & Information Society, Vol. 13, pp. 21-29, 2002.
  8. D. J. Chang and S. Heo, "Control Charts for Monitoring Correlation Coefficients in Variance-Covariance matrix", Journal of the Korean Data Analysis Society, Vol. 22, pp. 803-809, 2011.
  9. D. J. Chang, "Multivariate EWMA Charts with Accumulate-Combine Method for Multivariate Normal Process", Journal of the Korean Data & Information Science Society, Vol. 31, pp. 51-63, 2021. https://doi.org/10.7465/jkdi.2020.31.1.51
  10. D. J. Chang, "A Study on Optimum Value of Design Parameter of Multivariate EWMA and CUSUM charts for Monitoring Dispersion Matrix", Journal of the Chosun Natural Science, Vol. 14, pp 116-122, 2021., 1959. https://doi.org/10.13160/RICNS.2021.14.3.116