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Research Article

Monitoring the multivariate coefficient of variation in presence of autocorrelation with variable parameters control charts

ORCID Icon & ORCID Icon
Pages 184-210 | Accepted 30 Apr 2022, Published online: 01 Jun 2022

References

  • Aparisi, F., Jabaloyes, J., & Carrion, A. (2001). Generalized variance chart design with adaptive sample sizes. The bivariate case. Communications in Statistics - Simulation and Computation, 30(4), 931–948. https://doi.org/10.1081/SAC-100107789
  • Aparisi, F., & Haro, C. L. (2003). A comparison of T2 charts with variable sampling scheme as opposed to MEWMA. International Journal of Production Research, 41(10), 2169–2182. https://doi.org/10.1080/0020754031000138655
  • Apley, D. W., & Tsung, F. (2002). The autoregressive T2 chart for monitoring univariate autocorrelated processes. Journal of Quality Technology, 34(1), 80–96. https://doi.org/10.1080/00224065.2002.11980131
  • Calzada, M. E., & Scariano, S. M. (2013). A synthetic control chart for the coefficient of variation. Journal of Statistical Computation and Simulation, 83(5), 853–867. https://doi.org/10.1080/00949655.2011.639772
  • Castagliola, P., Celano, G., & Psarakis, S. (2011). Monitoring the coefficient of variation using EWMA charts. Journal of Quality Technology, 43(3), 249–265. https://doi.org/10.1080/00224065.2011.11917861
  • Castagliola, P., Achouri, A., Taleb, H., Celano, G., & Psarakis, S. (2013a). Monitoring the coefficient of variation using control charts with run rules. Quality Technology & Quantitative Management, 10(1), 75–94. https://doi.org/10.1080/16843703.2013.11673309
  • Castagliola, P., Achouri, A., Taleb, H., Celano, G., & Psarakis, S. (2013b). Monitoring the coefficient of variation using a variable sampling interval control chart. Quality and Reliability Engineering International, 29(8), 1135–1149. https://doi.org/10.1002/qre.1465
  • Chen, Y. K. (2007). Adaptive sampling enhancement of Hotelling’s T2 control charts. European Journal of Operational Research, 178(3), 841–857. https://doi.org/10.1016/j.ejor.2006.03.001
  • Chen, S., & Nembhard, H. (2011). Multivariate Cuscore control charts for monitoring the mean vector in autocorrelated processes. IIE Transactions, 43(4), 291–307. https://doi.org/10.1080/0740817X.2010.523767
  • Dargopatil, P., & Ghute, V. (2019). New sampling strategies to reduce the effect of autocorrelation on the synthetic T2 chart to monitor bivariate process. Quality Reliability Engineering International, 35 1 , 30–46 doi:https://doi.org/10.1002/qre.2378.
  • Faraz, A., Heuchenne, C., Saniga, E., & Costa, A. F. B. (2014). Double-objective economic statistical design of the VP T2 control chart: Wald’s identity approach. Journal of Statistical Computation and Simulation, 84(10), 2123–2137. https://doi.org/10.1080/00949655.2013.784315
  • Grigorya, A., & He, D. (2005). Multivariate double sampling |S| Charts for controlling process variability. International Journal of Production Research, 43(4), 715–730. https://doi.org/10.1080/00207540410001716525
  • Hawkins, D. M., & Maboudou-Tchao, E. M. (2008). Multivariate exponentially weighted moving covariance matrix. Technometrics, 50(1), 155–166. https://doi.org/10.1198/004017008000000163
  • Hong, E. P., Kang, C. W., Baek, J. W., & Kang, H. W. (2008). Development of CV control chart using EWMA technique. Journal of the Society of Korea Industrial and Systems Engineering, 31 4 , 114–120.
  • Jalilibal, Z., Amiri, A., Castagliola, P., & Khoo, M. B. C. (2021). Monitoring the coefficient of variation: A literature review. Computers & Industrial Engineering, 161, 107600. https://doi.org/10.1016/j.cie.2021.107600
  • Jarrett, J. E., & Pan, X. (2007). Monitoring variability and analyzing multivariate autocorrelated processes. Journal of Applied Statistics, 34(4), 459–469. https://doi.org/10.1080/02664760701231849
  • Kalgonda, A. A., & Kulkarni, S. R. (2004). Multivariate quality control chart for autocorrelated processes. Journal of Applied Statistics, 31(3), 317–327. https://doi.org/10.1080/0266476042000184000
  • Kang, C. W., Lee, M. S., Seong, Y. J., & Hawkins, D. M. (2007). A control chart for the coefficient of variation. Journal of Quality Technology, 39(2), 151–158. https://doi.org/10.1080/00224065.2007.11917682
  • Khaw, K. W., Khoo, M. B. C., Yeong, W. C., & Wu, Z. (2017). Monitoring the coefficient of variation using a variable sample size and sampling interval control chart. Communications in Statistics - Simulation and Computation, 46(7), 5772–5794. https://doi.org/10.1080/03610918.2016.1177074
  • Khaw, K. W., Khoo, M. B. C., Castagliola, P., & Rahim, M. A. (2018). New adaptive control charts for monitoring the multivariate coefficient of variation. Computers & Industrial Engineering, 126, 595–610. https://doi.org/10.1016/j.cie.2018.10.016
  • Lee, M. H., & Khoo, M. B. C. (2015). Multivariate synthetic |S| Control chart with variable sampling interval. Communications in Statistics - Simulation and Computation, 44(4), 924–942. https://doi.org/10.1080/03610918.2013.796980
  • Leoni, R. C., Costa, A. F. B., Sampaio, N. A. S., Silva, J. W. J., & Ribeiro, R. B. (2015). A geometric approach to illustrate the autocorrelation effect in T2 control chart of Hotelling. Applied Mathematics, 5(2), 39–47 doi:10.5923/j.am.20150502.01.
  • Nenes, G., Castagliola, P., Celano, G., & Panagiotidou, S. (2014). The variable sampling interval control chart for finite horizon processes. IIE transactions, 46(10), 1050–1065. https://doi.org/10.1080/0740817X.2013.876128
  • Nguyen, Q. T., Tran, K. P., Heuchenne, H. L., Nguyen, T. H., & Nguyen, H. D. (2019). Variable sampling interval Shewhart control charts for monitoring the multivariate coefficient of variation. Quality and Reliability Engineering International, 35(5), 1253–1268 doi:10.1002/asmb.2472.
  • Reed, G. F., Lynn, F., & Meade, B. D. (2002). Use of coefficient of variation in assessing variability of quantitative assays. Clinical and Diagnostic Laboratory Immunology, 9(6), 1235–1239. https://doi.org/10.1128/cdli.9.6.1235-1239.2002
  • Sabahno, H., Amiri, A., & Castagliola, P. (2018a). Optimal performance of the variable sample sizes Hotelling’s T2 control chart in the presence of measurement errors. Quality Technology & Quantitative Management, 16(5), 588–612. https://doi.org/10.1080/16843703.2018.1490474
  • Sabahno, H., Amiri, A., & Castagliola, P. (2018b). Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling’s T 2 control charts. Quality and Reliability Engineering International, 34(8), 1785–1799. https://doi.org/10.1002/qre.2370
  • Sabahno, H., Castagliola, P., & Amiri, A. (2020a). A variable parameters multivariate control chart for simultaneous monitoring of the process mean and variability with measurement errors. Quality and Reliability Engineering International, 36(4), 1161–1196. https://doi.org/10.1002/qre.2621
  • Sabahno, H., Castagliola, P., & Amiri, A. (2020b). An adaptive variable-parameters scheme for the simultaneous monitoring of the mean and variability of an autocorrelated multivariate normal process. Journal of Statistical Computation and Simulation, 90(8), 1430–1465. https://doi.org/10.1080/00949655.2020.1730373
  • Sabahno, H., Amiri, A., & Castagliola, P. (2021). A new adaptive control chart for the simultaneous monitoring of the mean and variability of multivariate normal processes. Computers & Industrial Engineering, 151 106524 doi:10.1016/j.cie.2020.106524.
  • Seif, A., Faraz, A., Saniga, E., & Heuchenne, C. (2016). A statistically adaptive sampling policy to the Hotelling’s T2 control chart: Markov Chain approach. Communications in Statistics-Theory and Methods, 45(13), 3919. https://doi.org/10.1080/03610926.2014.911910
  • Vanhatalo, E., & Kulahci, M. (2015). The effect of autocorrelation on the Hotelling T2 control chart. Quality and Reliability Engineering International, 31(8), 1779–1796. https://doi.org/10.1002/qre.1717
  • Voinov, V. G., & Nikulin, M. S. (1996). Unbiased estimators and their applications. In Volume 2: Multivariate case 362 Mathematics and its applications . Dordrecht: Kluwer Academic Publishers 262 https://www.worldcat.org/title/unbiased-estimators-and-their-applications-vol-2-multivariate-case/oclc/804420398?referer=di&ht=edition .
  • Wang, K., & Tsung, F. (2008). An adaptive T2 Chart for monitoring dynamic systems. Journal of Quality Technology, 40(1), 109–123. https://doi.org/10.1080/00224065.2008.11917716
  • Yeong, W. C., Khoo, M. B. C., Teoh, W. L., & Castagliola, P. (2016). A control chart for the multivariate coefficient of variation. Quality and Reliability Engineering International, 32(3), 1213–1225. https://doi.org/10.1002/qre.1828
  • Zhang, J., Li, Z., Chen, B., & Wang, Z. (2014). A new exponentially weighted moving average control chart for monitoring the coefficient of variation. Computers & Industrial Engineering, 78, 205–212. https://doi.org/10.1016/j.cie.2014.09.027