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Research Article

A parameter-free adaptive EWMA chart with variable sample sizes and variable sampling intervals for the process mean

ORCID Icon, & ORCID Icon
Pages 2802-2828 | Received 24 Dec 2021, Accepted 01 Mar 2022, Published online: 10 Mar 2022

References

  • Montgomery DC. Introduction to statistical quality control. 6th ed. New York: Wiley; 2009.
  • Reynolds MR Jr. Optimal variable sampling interval control charts. Seq Anal. 1989;8(4):361–379.
  • Reynolds MR Jr., Amin RW, Arnold JC. CUSUM charts with variable sampling intervals. Technometrics. 1990;32(4):371–384.
  • Luo Y, Li Z, Wang Z. Adaptive CUSUM control chart with variable sampling intervals. Comput Stat Data Anal. 2009;53(7):2693–2701.
  • Epprecht EK, Simoes BFT, Mendes FCT. A variable sampling interval EWMA chart for attributes. Int J Adv Manuf Technol. 2010;49(1–4):281–292.
  • Tang A, Castagliola P, Sun J, et al. An adaptive exponentially weighted moving average chart for the mean with variable sampling intervals. Qual Reliab Eng Int. 2017;33(8):2023–2034.
  • Haq A. Weighted adaptive multivariate CUSUM charts with variable sampling intervals. J Stat Comput Simul. 2019;89(3):478–491.
  • Ayyoub HN, Khoo MBC, Saha S, et al. Variable sampling interval EWMA chart for multivariate coefficient of variation. Comm Statist Theory Methods. 2020;1–22.
  • Haq A, Akhtar S. Auxiliary information based maximum EWMA and DEWMA charts with variable sampling intervals for process mean and variance. Comm Statist Theory Methods. 2020;1–22.
  • Katebi M, Khoo MBC. Optimal economic statistical design of combined double sampling and variable sampling interval multivariate T2 control charts. J Stat Comput Simul. 2021;91(10):2094–2115.
  • Annadi HP, Keats JB, Runger GC, et al. An adaptive sample size CUSUM control chart. Int J Prod Res. 1995;33(6):1605–1616.
  • Zhou W, Lian Z. Optimum design of a new VSS-NP chart with adjusting sampling inspection. Int J Prod Econ. 2011;129(1):8–13.
  • Hu X, Castagliola P, Sun J, et al. The performance of variable sample size X¯ chart with measurement errors. Qual Reliab Eng Int. 2016;32(3):969–983.
  • Hassani Z, Amiri A, Castagliola P. Variable sample size of exponentially weighted moving average chart with measurement errors. Sci Iran. 2021;28(4):2386–2399.
  • Prabhu SS, Montgomery DC, Runger GC. A combined adaptive sample size and sampling interval X¯ control scheme. J Qual Technol. 1994;26(3):164–176.
  • Costa AFB. X¯ chart with variable sample size and sampling intervals. J Qual Technol. 1997;29(2):197–204.
  • Reynolds MR Jr., Arnold JC. EWMA control charts with variable sample sizes and variable sampling intervals. IIE Trans. 2001;33(6):511–530.
  • Arnold JC, Reynolds MR Jr. CUSUM control charts with variable sample sizes and sampling intervals. J Qual Technol. 2001;33(1):66–81.
  • Mahadik SB. X¯ charts with variable sample size, sampling interval, and warning limits. Qual Reliab Eng Int. 2013;29(4):535–544.
  • Zhou M. Variable sample size and variable sampling interval Shewhart control chart with estimated parameters. Oper Res. 2017;17(1):17–37.
  • Saha S, Khoo MBC, Lee MH, et al. A variable sample size and sampling interval control chart for monitoring the process mean using auxiliary information. Qual Technol Quant Manag. 2019;16(4):389–406.
  • Khoo MBC, See MY, Chong NL, et al. An improved variable sample size and sampling interval s control chart. Qual Reliab Eng Int. 2019;35(1):392–404.
  • Shojaie M, Imani DM. Development of U control chart by variable sample size and sampling interval to improve the statistical properties. Eng Rep. 2021;3(6):Article ID e12351.
  • Capizzi G, Masarotto G. An adaptive exponentially weighted moving average control chart. Technometrics. 2003;45(3):199–207.
  • Haq A, Gulzar R, Khoo MBC. An efficient adaptive EWMA control chart for monitoring the process mean. Qual Reliab Eng Int. 2018;34(4):563–571.
  • Jiang W, Shu L, Apley DW. Adaptive CUSUM procedures with EWMA-based shift estimators. IIE Trans. 2008;40(10):992–1003.
  • Dai Y, Luo Y, Li Z, et al. A new adaptive CUSUM control chart for detecting the multivariate process mean. Qual Reliab Eng Int. 2011;27(7):877–884.
  • Su Y, Shu L, Tsui KL. Adaptive EWMA procedures for monitoring processes subject to linear drifts. Comput Stat Data Anal. 2011;55(10):2819–2829.
  • Saleh NA, Mahmoud MA, Abdel-Salam ASG. The performance of the adaptive exponentially weighted moving average control chart with estimated parameters. Qual Reliab Eng Int. 2013;29(4):595–606.
  • Huang W, Shu L, Su Y. An accurate evaluation of adaptive exponentially weighted moving average schemes. IIE Trans. 2014;46(5):457–469.
  • Aly AA, Mahmoud MA, Hamed R. The performance of the multivariate adaptive exponentially weighted moving average control chart with estimated parameters. Qual Reliab Eng Int. 2016;32(3):957–967.
  • Tang A, Castagliola P, Sun J, et al. The effect of measurement errors on the adaptive EWMA chart. Qual Reliab Eng Int. 2018;34(4):609–630.
  • Tang A, Castagliola P, Sun J, et al. Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length. Qual Technol Quant Manag. 2019;16(4):439–458.
  • Haq A, Khoo MBC. A parameter-free adaptive EWMA mean chart. Qual Technol Quant Manag. 2020;17(5):528–543.

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