산업경영시스템학회지 (Journal of Korean Society of Industrial and Systems Engineering)

  • 제34권2호
  • /
  • Pages.1-8
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  • 2011
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  • 2005-0461(pISSN)
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  • 2287-7975(eISSN)
한국산업경영시스템학회 (Society of Korea Industrial and System Engineering)
권호 표지

고정표본채취시점을 갖는 가변표본채취간격 다변량 $T^2$ 관리도

A Variable Sampling Interval $T^2$ Control Chart with Sampling at Fixed Times

  • 서종현 (한국산업기술대학교 e-Business학과) ;
  • 장영순 (명지대학교 경영학과)
  • 투고 : 2011.04.08
  • 심사 : 2011.05.21
  • 발행 : 2011.06.30
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초록

This paper proposes a variable sampling interval multivariate $T^2$ control chart with sampling at fixed times, where samples are taken at specified equally spaced fixed time points and additional samples are allowed between these fixed times when indicated by the preceding $T^2$ statistics. At fixed sampling points, the $T^2$ statistics are composed of all quality characteristics and a part of quality characteristics are selected to obtain $T^2$ statistics at additional sampling points. A Markov chain approach is used to evaluate the performance of the proposed chart. Numerical studies for the performance of the proposed chart show that the proposed chart reduces the observations obtained from a process and detects the assignable cause of a process with low correlated quality characteristics quickly.

키워드

참고문헌

  1. Amin, R. W. and Hemasinha, R.; "The Switching Behavior of $\overline{X}$ Charts with Variable Sampling Intervals," Communications in Statistics-Theory and Methods, 22 : 2081-2102, 1993. https://doi.org/10.1080/03610929308831136
  2. Aparisi, F. and Haro, C. L.; "Hotelling's $T^2$ Control Chart with Variable Sampling Intervals," International Journal of Production Research, 39 : 3127-3140, 2001. https://doi.org/10.1080/00207540110054597
  3. Aparisi, F. and Haro, C. L.; "A Comparison of $T^2$ Control Charts with Variable Sampling Schemes as Opposed to MEWMA Chart," International Journal of Production Research, 41 : 2169-2182, 2003. https://doi.org/10.1080/0020754031000138655
  4. Chengalur, I. N., Arnold, J. C., and Reynolds, M. R.; "Multiple Means Shewhart Charts Using Variable Sampling Intervals," Journal of Statistical Computation and Simulation, 45 : 1-21, 1993. https://doi.org/10.1080/00949659308811468
  5. Chou, C. Y., Chen, C. H., and Chen, C. H.; "Economic Design of Variable Sampling Intervals $T^2$ Control Charts Using Genetic Algorithm," Expert System with Applications, 30 : 233-242, 2006. https://doi.org/10.1016/j.eswa.2005.07.010
  6. Hawkins, D. M.; "Multivariate quality control based on regression-adjusted variables," Technometrics, 33 : 61-75, 1991.
  7. Lee, K. T. and Bai, D. S.; "Variable Sampling Interval $\overline{X}$ Control Charts with Run Rules," International Journal of Industrial Engineering, 7 : 147-158, 2000.
  8. Montgomery, D. C.; Introduction to Statistical Quality Control, 5th Edition, John Wiley and Sons, 2005.
  9. Prybutok, V. R., Clayton, H. R., and Harvey, M. M.; "Comparison of Fixed versus Variable Sampling Interval Shewhart $\overline{X}$ Control Charts in the Presence of Positively Autocorrelated Data," Communications in Statistics-Simulation and Computation, 26 : 83-106, 1997. https://doi.org/10.1080/03610919708813369
  10. Reynolds, M. R., Amin, R. W., and Arnold, J. C.; "CUSUM Charts with Variable Sampling Intervals," Technometrics, 32 : 371-384, 1990. https://doi.org/10.1080/00401706.1990.10484721
  11. Reynolds, M. R.; "Variable-Sampling-Interval Control Charts with Sampling at Fixed Times," IIE Transactions, 32 : 371-384, 1996a.
  12. Reynolds, M. R.; "Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times," Journal of Quality Technology, 28 : 199-212, 1996b.
  13. Reynolds, M. R., Amin, R. W., Arnold, J. C., and Nachlas, J. A.; "$\overline{X}$ Charts with Variable Sampling Intervals," Technometrics, 30 : 181-192, 1988.