Tukey-EWMA control chart with variable sampling intervals for process monitoring

References

• Adsız, S. 2021. Tukey-EWMA control chart with variable sampling intervals to non normal data. Master’s thesis, Ege University.
   Google Scholar
• Alemi, F. 2004. Tukey’s control chart. Quality Management in Health Care 13 (4):216–21. doi:10.1097/00019514-200410000-00004.
   PubMedGoogle Scholar
• Amin, R. W. 1987. Variable sampling interval control charts. PhD diss., Virginia Polytechic Institute and State University.
   Google Scholar
• Ayyoub, H. N., M. B. C. Khoo, S. Saha, and M. H. Lee. 2022. Variable sampling interval EWMA chart for multivariate coefficient of variation. Communications in Statistics - Theory and Methods 51 (14):4617–37. doi:10.1080/03610926.2020.1818100.
   Web of Science ®Google Scholar
• Brook, D., and D. A. Evans. 1972. An approach to the probability distribution of cusum run length. Biometrika 59 (3):539–49. doi:10.2307/2334805.
   Web of Science ®Google Scholar
• Castagliola, P. 2001. An X˜/R-EWMA control chart for monitoring the process sample median. International Journal of Reliability, Quality and Safety Engineering 08 (02):123–35. doi:10.1142/S0218539301000414.
   Google Scholar
• Castagliola, P., A. Achouri, H. Taleb, G. Celano, and S. Psarakis. 2013. Monitoring the coefficient of variation using a variable sampling interval control chart. Quality and Reliability Engineering International 29 (8):1135–49. doi:10.1002/qre.1465.
   Web of Science ®Google Scholar
• Castagliola, P., G. Celano, and S. Psarakis. 2011. Monitoring the coefficient of variation using EWMA charts. Journal of Quality Technology 43 (3):249–65. doi:10.1080/00224065.2011.11917861.
   Web of Science ®Google Scholar
• Chew, X. Y., M. B. C. Khoo, S. Y. Teh, and M. H. Lee. 2016. The Run Sum Hotelling’s X2 control chart with variable sampling intervals. Quality and Reliability Engineering International 32 (7):2573–90. doi:10.1002/qre.1960.
   Web of Science ®Google Scholar
• Costa, A. F. B. 1999. X¯ charts with variable parameters. Journal of Quality Technology 31 (4):408–16. doi:10.1080/00224065.1999.11979947.
   Web of Science ®Google Scholar
• Crosier, R. B. 1986. A new two-sided cumulative sum quality control scheme. Technometrics 28 (3):187–94. doi:10.1080/00401706.1986.10488126.
   Web of Science ®Google Scholar
• Darroch, J. N., and E. Seneta. 1965. On quasi-stationary distribution in absorbing discrete-time finite Markov chains. Journal of Applied Probability 2 (1):88–100. doi:10.2307/3211876.
   Google Scholar
• Khaliq, Q., and M. Riaz. 2016. Robust Tukey-CUSUM control chart for process monitoring. Quality and Reliability Engineering International 32 (3):933–48. doi:10.1002/qre.1804.
   Web of Science ®Google Scholar
• Khaliq, Q., M. Riaz, A. Arshad, and S. Gul. 2021. On the performance of median-based Tukey and Tukey-EWMA control chart rational subgrouping. Scientia Iranica 28 (1):547–556. doi:10.24200/sci.2019.5470.1289.
   Web of Science ®Google Scholar
• Khaliq, Q., M. Riaz, and F. Alemi. 2015. Performance of Tukey’s and individual/moving range control charts. Quality and Reliability Engineering International 31 (6):1063–77. doi:10.1002/qre.1664.
   Web of Science ®Google Scholar
• Khaliq, Q., M. Riaz, and S. Ahmad. 2016. On designing a new Tukey-EWMA control chart for process monitoring. The International Journal of Advanced Manufacturing Technology 82 (1–4):1–23. doi:10.1007/s00170-015-7289-6.
   Web of Science ®Google Scholar
• Khoo, M. B. C., S. Saha, H. W. Lee, and P. Castagliola. 2019. Variable sampling interval exponentially weighted moving average median chart with estimated process parameters. Quality and Reliability Engineering International 35 (8):2732–48. doi:10.1002/qre.2554.
   Web of Science ®Google Scholar
• Knoth, S. 2021. Steady-State average run length(s): Methodology, formulas and numerics. Sequential Analysis 40 (3):405–26. doi:10.1080/07474946.2021.1940501.
   Web of Science ®Google Scholar
• Lee, M. H., and M. B. C. Khoo. 2014. Design of multivariate exponentially weighted moving average control chart with variable sampling interval. Computational Statistics 29 (1-2):189–214. doi:10.1007/s00180-013-0443-4.
   Web of Science ®Google Scholar
• Lee, P. H. 2011. The effects of Tukey’s control chart with asymmetrical control limits on monitoring of production processes. African Journal of Business Management 5 (11):4044–50. doi:10.5897/AJBM10.1389.
   Google Scholar
• Li, S. Y., L. C. Tang, and S. H. Ng. 2010. Nonparametric CUSUM and EWMA control charts for detecting mean shifts. Journal of Quality Technology 42 (2):209–26. doi:10.1080/00224065.2010.11917817.
   Web of Science ®Google Scholar
• Lin, Y. C., and C. Y. Chou. 2011. Robustness of the EWMA and the combined X¯-EWMA control charts with variable sampling intervals to non-normality. Journal of Applied Statistics 38 (3):553–70. doi:10.1080/02664760903521443.
   Web of Science ®Google Scholar
• Lin, Y. C., C. Y. Chou, and C. H. Chen. 2017. Robustness of the EWMA median control chart to non-normality. International Journal of Industrial and Systems Engineering 25 (1):35–58. doi:10.1504/IJISE.2017.080687.
   Google Scholar
• Lucas, J. M., and M. S. Saccucci. 1990. Exponentially weighted moving average control schemes: Properties and enhancements. Technometrics 32 (1):1–12. doi:10.2307/1269835.
   Web of Science ®Google Scholar
• Montgomery, D. C. 2009. Introduction to statistical quality control. 6th ed. New York: Wiley.
   Google Scholar
• Ou, Y., Z. Wu, and F. Tsung. 2012. A comparison study of effectiveness and robustness of control charts for monitoring process mean. International Journal of Production Economics 135 (1):479–90. doi:10.1016/j.ijpe.2011.08.026.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr., and J. C. Arnold. 2001. EWMA control charts with variable sample sizes and variable sampling intervals. IIE Transactions 33 (6):511–30. doi:10.1080/07408170108936850.
   Web of Science ®Google Scholar
• Reynolds, M. R., R. W. Amin, and J. C. Arnold. 1990. CUSUM charts with variable sampling intervals. Technometrics 32 (4):371–84. doi:10.2307/1270114.
   Web of Science ®Google Scholar
• Reynolds, M. R., R. W. Amin, J. C. Arnold, and J. A. Nachlas. 1988. X̄ charts with variable sampling intervals. Technometrics 30 (2):181–92. doi:10.1080/00401706.1988.10488366.
   Web of Science ®Google Scholar
• Riaz, M., Q. Khaliq, and S. Gul. 2017. Mixed Tukey EWMA-CUSUM control chart and its applications. Quality Technology & Quantitative Management 14 (4):378–411. doi:10.1080/16843703.2017.1304034.
   Web of Science ®Google Scholar
• Roberts, S. W. 1959. Control chart tests based on geometric moving averages. Technometrics 1 (3):239–50. doi:10.2307/1266443.
   Google Scholar
• Ryu, J. H., H. Wan, and S. Kim. 2010. Optimal design of a CUSUM chart for a mean shift of unknown size. Journal of Quality Technology 42 (3):311–26. doi:10.1080/00224065.2010.11917826.
   Web of Science ®Google Scholar
• Saccucci, M. S., R. W. Amin, and J. M. Lucas. 1992. Exponentially weighted moving average control schemes with variable sampling intervals. Communications in Statistics - Simulation and Computation 21 (3):627–57. doi:10.1080/03610919208813040.
   Web of Science ®Google Scholar
• Sukparungsee, S. 2012. Robustness of Tukey’s control chart in detecting a changes of parameter of skew distributions. International Journal of Applied Physics and Mathematics 2 (5):379–82.
   Google Scholar
• Sukparungsee, S. 2013. Asymmetric Tukey’s control chart robust to skew and non-skew process observation. World Academy of Science Engineering and Technology International Journal of Mathematical, Computational Science Engineering 7 (8):37–40. doi:10.5281/zenodo.1086603.
   Google Scholar
• Torng, C.-C., and P.-H. Lee. 2008. ARL performance of the Tukey’s control chart. Communications in Statistics - Simulation and Computation 37 (9):1904–13. doi:10.1080/03610910802263141.
   Web of Science ®Google Scholar
• Tran, K. P., P. Castagliola, T. H. Nguyen, and A. Cuzol. 2018. The Efficiency of the VSI Exponentially weighted moving average median control chart. In 24th ISSAT International Conference of Reliability and Quality in Design, Toronto, September.
   Google Scholar
• Wu, Z., M. Shamsuzzaman, and E. S. Pan. 2004. Optimization design of control charts based on Taguchi’s loss function and random process shifts. International Journal of Production Research 42 (2):379–90. doi:10.1081/00207540310001614169.
   Web of Science ®Google Scholar
• Yashchin, E. 1985. On the Analysis and Design of CUSUM-Shewhart Control Schemes. IBM Journal of Research and Development 29 (4):377–91. doi:10.1147/rd.294.0377.
   Web of Science ®Google Scholar
• Zaman, B., M. H. Lee, M. Riaz, and M. R. Abujiya. 2019. An adaptive approach to EWMA dispersion chart using Huber and Tukey functions. Quality and Reliability Engineering International 35 (6):1542–81. doi:10.1002/qre.2460.
   Web of Science ®Google Scholar