Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Properties of variable sampling interval control charts

  • Chang, Duk-Joon (Department of Statistics, Changwon National University) ;
  • Heo, Sun-Yeong (Department of Statistics, Changwon National University)
  • Received : 2010.06.06
  • Accepted : 2010.07.13
  • Published : 2010.07.31
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Abstract

Properties of multivariate variable sampling interval (VSI) Shewhart and CUSUM charts for monitoring mean vector of related quality variables are investigated. To evaluate average time to signal (ATS) and average number of switches (ANSW) of the proposed charts, Markov chain approaches and simulations are applied. Performances of the proposed charts are also investigated both when the process is in-control and when it is out-of-control.

Keywords

References

  1. Alt, F. B. (1982). Multivariate quality control in the encyclopedia of statistical sciences, eds. S. Kotz and Johnson Wiley, New York.
  2. Amin, R. W. and Letsinger. W. C. (1991). Improved swiching rules in control procedures using variable sampling intervals. Communications in Statistics - Simulation and Computation, 20, 205-230. https://doi.org/10.1080/03610919108812949
  3. Brook, D. and Evans, D. A. (1972). An approach to the probability distribution of CUSUM run length. Biometrika, 59, 539-549. https://doi.org/10.1093/biomet/59.3.539
  4. Chang, D. J. and Shin, J. K. (2009). Variable sampling interval control charts for variance-covariance matrix. Journal of the Korean Data & Information Science Society, 20, 741-747.
  5. Lee, S., Lee, T. and Na, O. (2010). Cusum of squares test for discretely sample from diffusion processes. Journal of the Korean Data & Information Science Society, 21, 179-183.
  6. Mason, R.L. and Young, J. C. (1999). Improving the sensitivity of the $T^2$ statistic in multivariate process control. Journal of Quality Technology, 31, 155-165.
  7. Na, O., Ko, B. and Lee S. (2010). Cusum of squares test for discretely observed sample from multidimen- sional diffusion processes. Journal of the Korean Data & Information Science Society, 21, 555-560.
  8. Reynolds, M. R., Jr. and Arnold, J. C. (1989). Optimal one-sided Shewhart control charts with variable sampling intervals between samples. Sequential Analysis, 8, 51-77. https://doi.org/10.1080/07474948908836167
  9. Reynolds, M. R., Jr. and Amin, R. W. and Arnold, J. C. (1990). CUSUM charts with variable sampling intervals. Technometrics, 32, 371-384. https://doi.org/10.2307/1270114
  10. Song, G, Park, B. and Kang, H. (2007). A CUSUM algorithm for early detection of structural changes in won/dollar exchange market. Journal of the Korean Data & Information Science Society, 18, 345-356.
  11. Vargas, V. C. C., Lopes, L. F. D. and Sauza, A. M. (2004). Comparative study of the performance of the cusum and EWMA control charts. Computer & Industrial Engineering, 46, 707-724. https://doi.org/10.1016/j.cie.2004.05.025