The multivariate exponentially weighted moving average chart for monitoring short production runs

References

• Adegoke, N. A., A. N. H. Smith, M. J. Anderson, and M. D. M. Pawley. 2021. MEWMA charts when parameters are estimated with applications in gene expression and bimetal thermostat monitoring. Journal of Statistical Computation and Simulation 91 (1):37–57. doi:10.1080/00949655.2020.1806279.
   Web of Science ®Google Scholar
• Amdouni, A., P. Castagliola, H. Taleb, and G. Celano. 2015. Monitoring the coefficient of variation using a variable sample size control chart in short production runs. The International Journal of Advanced Manufacturing Technology 81 (1–4):1–14. doi:10.1007/s00170-015-7084-4.
   Web of Science ®Google Scholar
• Amdouni, A., P. Castagliola, H. Taleb, and G. Celano. 2017. A variable sampling interval Shewhart control chart for monitoring the coefficient of variation in short production runs. International Journal of Production Research 55 (19):5521–36. doi:10.1080/00207543.2017.1285076.
   Web of Science ®Google Scholar
• Ardakan, M. A., A. Z. Hamadani, M. Sima, and M. Reihaneh. 2016. A hybrid model for economic design of MEWMA control chart under maintenance policies. The International Journal of Advanced Manufacturing Technology 83 (9–12):2101–10. doi:10.1007/s00170-015-7716-8.
   Web of Science ®Google Scholar
• Bodden, K. M., and S. E. Rigdon. 1999. A program for approximating the in-control ARL for the MEWMA chart. Journal of Quality Technology 31 (1):120–3. doi:10.1080/00224065.1999.11979902.
   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:10.1093/biomet/59.3.539.
   Web of Science ®Google Scholar
• Castagliola, P., A. Amdouni, H. Taleb, and G. Celano. 2015. One-sided Shewhart-type charts for monitoring the coefficient of variation in short production runs. Quality Technology & Quantitative Management 12 (1):53–67. doi:10.1080/16843703.2015.11673366.
   Web of Science ®Google Scholar
• Castagliola, P., G. Celano, S. Fichera, and G. Nenes. 2013. The variable sample size t control chart for monitoring short production runs. The International Journal of Advanced Manufacturing Technology 66:1353–66. doi:10.1007/s00170-012-4413-8.
   Web of Science ®Google Scholar
• Celano, G., and P. Castagliola. 2018. An EWMA sign control chart with varying control limits for finite horizon processes. Quality and Reliability Engineering International 34 (8):1717–31. doi:10.1002/qre.2365.
   Web of Science ®Google Scholar
• Celano, G., P. Castagliola, S. Chakraborti, and G. Nenes. 2016. The performance of the Shewhart sign control chart for finite horizon processes. The International Journal Advanced Manufacturing Technology 84:1497–512.
   Web of Science ®Google Scholar
• Celano, G., P. Castagliola, S. Fichera, and G. Nenes. 2013. Performance of t control charts in short runs with unknown shift sizes. Computers & Industrial Engineering 64 (1):56–68. doi:10.1016/j.cie.2012.10.003.
   Web of Science ®Google Scholar
• Celano, G., P. Castagliola, and E. Trovato. 2012. The economic performance of a CUSUM t control chart for monitoring short production runs. Quality Technology & Quantitative Management 9 (4):329–54. doi:10.1080/16843703.2012.11673297.
   Web of Science ®Google Scholar
• Chen, G., S. W. Cheng, and H. Xie. 2005. A new multivariate control chart for monitoring both location and dispersion. Communications in Statistics - Simulation and Computation 34 (1):203–17. doi:10.1081/SAC-200047087.
   Web of Science ®Google Scholar
• Chiang, J. Y., Y. L. Lio, and T. R. Tsai. 2017. MEWMA control chart and process capability indices for simple linear profiles with within-profile autocorrelation. Quality and Reliability Engineering International 33 (5):1083–94. doi:10.1002/qre.2101.
   Web of Science ®Google Scholar
• Chong, N. L., M. B. C. Khoo, A. Haq, and P. Castagliola. 2019. Hotelling’s T2 control charts with fixed and variable sample sizes for monitoring short production runs. Quality and Reliability Engineering International 35 (1):14–29. doi:10.1002/qre.2377.
   Web of Science ®Google Scholar
• Haq, A. 2020. One-sided and two one-sided MEWMA charts for monitoring process mean. Journal of Statistical Computation and Simulation 90 (4):699–718. doi:10.1080/00949655.2019.1699926.
   Web of Science ®Google Scholar
• Joner, M. D., Jr. W. H. Woodall, Jr. M. R. Reynolds, Jr., and R. D. Fricker. 2008. A one-sided MEWMA chart for health surveillance. Quality and Reliability Engineering International 24 (5):503–18. doi:10.1002/qre.910.
   Web of Science ®Google Scholar
• Khatun, M., M. B. C. Khoo, M. H. Lee, and P. Castagliola. 2019. One-sided control charts for monitoring the multivariate coefficient of variation in short production runs. Transactions of the Institute of Measurement and Control 41 (6):1712–28. doi:10.1177/0142331218789481.
   Web of Science ®Google Scholar
• Khatun, M., M. B. C. Khoo, S. Saha, and P. Castagliola. 2021. A new distribution-free adaptive sample size control chart for a finite production horizon and its application in monitoring fill volume of soft drink beverage bottles. Applied Stochastic Models in Business and Industry 37 (1):84–97. doi:10.1002/asmb.2545.
   Web of Science ®Google Scholar
• Ladany, S. P. 1973. Optimal use of control charts for controlling current production. Management Science 19 (7):763–72. doi:10.1287/mnsc.19.7.763.
   Web of Science ®Google Scholar
• Li, Y., and X. Pu. 2012. On the performance of two-sided control charts for short production runs. Quality and Reliability Engineering International 28 (2):215–32. doi:10.1002/qre.1237.
   Web of Science ®Google Scholar
• Linderman, K., and T. E. Love. TE 2000. Economic and economic statistical designs for MEWMA control charts. Journal of Quality Technology 32 (4):410–7. doi:10.1080/00224065.2000.11980026.
   Web of Science ®Google Scholar
• Lowry, C. A., W. H. Woodall, C. W. Champ, and S. E. Rigdon. 1992. A multivariate exponentially weighted moving average control chart. Technometrics 34 (1):46–53. doi:10.2307/1269551.
   Web of Science ®Google Scholar
• Mahmoud, M. A., and P. E. Maravelakis. 2010. The performance of the MEWMA control chart when parameters are estimated. Communications in Statistics - Simulation and Computation 39 (9):1803–17. doi:10.1080/03610918.2010.518269.
   Web of Science ®Google Scholar
• Nassar, S. H., and A. G. Abdel-Salam. 2021. Semiparametric MEWMA for Phase II profile monitoring. Quality and Reliability Engineering International 37 (5):1832–46. doi:10.1002/qre.2829.
   Web of Science ®Google Scholar
• Nenes, G., P. Castagliola, and G. Celano. 2017. Economic and statistical design of Vp control charts for finite-horizon processes. IISE Transactions 49 (1):110–25. doi:10.1080/0740817X.2016.1206674.
   Web of Science ®Google Scholar
• Nenes, G., and G. Tagaras. 2010. Evaluation of CUSUM charts for finite-horizon processes. Communications in Statistics - Simulation and Computation 39 (3):578–97. doi:10.1080/03610910903528319.
   Web of Science ®Google Scholar
• Niaki, S. T. A., M. J. Ershadi, and M. Malaki. 2010. Economic and economic-statistical designs of MEWMA control charts – a hybrid Taguchi loss, Markov chain, and genetic algorithm approach. The International Journal of Advanced Manufacturing Technology 48 (1–4):283–96. doi:10.1007/s00170-009-2288-0.
   Web of Science ®Google Scholar
• Nikolaidis, Y., and G. Tagaras. 2017. New indices for the evaluation of the statistical properties of Bayesian X¯ control charts for short runs. European Journal of Operational Research 259 (1):280–92.
   Web of Science ®Google Scholar
• Nyau, S. Y., M. H. Lee, and M. L. D. Wong. 2017. Optimal statistical design of variable sample size multivariate exponentially weighted moving average control chart based on median run-length. Quality Technology & Quantitative Management 14 (4):478–95. doi:10.1080/16843703.2017.1304041.
   Web of Science ®Google Scholar
• Prabhu, S. S., and G. C. Runger. 1997. Designing a multivariate EWMA control chart. Journal of Quality Technology 29 (1):8–15. doi:10.1080/00224065.1997.11979720.
   Web of Science ®Google Scholar
• Runger, G. C., and S. S. Prabhu. 1996. A Markov chain model for the multivariate exponentially weighted moving averages control chart. Journal of the American Statistical Association 91 (436):1701–6. doi:10.1080/01621459.1996.10476741.
   Web of Science ®Google Scholar
• Yeganeh, A., A. Shadman, and A. Amiri. 2021. A novel run rules based MEWMA scheme for monitoring general linear profiles. Computers & Industrial Engineering 152:107031. doi:10.1016/j.cie.2020.107031.
   Web of Science ®Google Scholar
• Yumin, L. 1996. An improvement for mewma in multivariate process control. Computers & Industrial Engineering 31 (3-4):779–81. doi:10.1016/S0360-8352(96)00241-0.
   Web of Science ®Google Scholar
• Zaidi, F. S., P. Castagliola, K. P. Tran, and M. B. C. Khoo. 2020. Performance of the MEWMA-CoDa control chart in the presence of measurement errors. Quality and Reliability Engineering International 36 (7):2411–40. doi:10.1002/qre.2705.
   Web of Science ®Google Scholar
• Zou, C., and F. Tsung. 2008. Directional MEWMA schemes for multistage process monitoring and diagnosis. Journal of Quality Technology 40 (4):407–27. doi:10.1080/00224065.2008.11917746.
   Web of Science ®Google Scholar