One-sided variable sampling interval EWMA control charts for monitoring the multivariate coefficient of variation in the presence of measurement errors
Nguyen, Quoc Thong; Ginger-Bosh, Vincent; Tran, Kim Ducet al.
2021 • In International Journal of Advanced Manufacturing Technology, 115 (5-6), p. 1821-1851
Heuchenne, Cédric ; Université de Liège - ULiège > HEC Liège : UER > UER Opérations: Statistique appl. à la gest. et à l'économie
Tran, Kim phuc
Language :
English
Title :
One-sided variable sampling interval EWMA control charts for monitoring the multivariate coefficient of variation in the presence of measurement errors
Publication date :
2021
Journal title :
International Journal of Advanced Manufacturing Technology
Abbasi SA, Adegoke NA (2018) Multivariate coefficient of variation control charts in phase I of SPC. Int J Adv Manufact Technol 99(5-8):1903–1916 DOI: 10.1007/s00170-018-2535-3
Allison PD (1978) Measures of inequality. Am Sociol Rev 43(6):865–880 DOI: 10.2307/2094626
Ayyoub HN, Khoo MB, Saha S, Castagliola P (2020) Multivariate coefficient of variation charts with measurement errors. Comput Indust Eng 147:106633. Article DOI: 10.1016/j.cie.2020.106633
Ayyoub HN, Khoo MB, Saha S, Castagliola P (2020) Multivariate coefficient of variation charts with measurement errors. Comput Indust Eng 147:106633. 10.1016/j.cie.2020.106633 DOI: 10.1016/j.cie.2020.106633
Ayyoub HN, Khoo MB, Saha S, Lee MH (2020) Variable sampling interval ewma chart for multivariate coefficient of variation. Commun Stat-Theor Methods 1–21
Ayyoub HN, Khoo MBC, Lee MH, Haq A (2021) Monitoring multivariate coefficient of variation with upward shewhart and ewma charts in the presence of measurement errors using the linear covariate error model. Qual Reliab Eng Int 37(2):694–716. 10.1002/qre.2757 DOI: 10.1002/qre.2757
Brook D, Evans DA (1972) An Approach to the Probability Distribution of Cusum Run Length. Biometrika 59(3):539–549 DOI: 10.1093/biomet/59.3.539
Castagliola P, Achouri A, Taleb H, Celano G, Psarakis S (2013) Monitoring the coefficient of variation using a variable sampling interval control chart. Qual Reliab Eng Int 29(8):1135–1149 DOI: 10.1002/qre.1465
Castagliola P, Achouri A, Taleb H, Celano G, Psarakis S (2015) Monitoring the coefficient of variation using a variable sample size control chart. Int J Adv Manuf Technol 81(9-12):1561–1576 DOI: 10.1007/s00170-015-6985-6
Chew X, Khaw KW (2020) One-sided downward control chart for monitoring the multivariate coefficient of variation with VSSI strategy. J Math Fundament Sci 52(1):112–130 DOI: 10.5614/j.math.fund.sci.2020.52.1.8
Chew X, Khaw KW, Lee MH (2020) The efficiency of run rules schemes for the multivariate coefficient of variation in short runs process. Commun Stat-Simul Computat 1–21
Chew X, Khaw KW, Yeong WC (2020) The efficiency of run rules schemes for the multivariate coefficient of variation: a markov chain approach. J Appl Stat 47(3):460–480 DOI: 10.1080/02664763.2019.1643296
Chew X, Khaw KW, Yeong WC (2020) The efficiency of run rules schemes for the multivariate coefficient of variation: a Markov chain approach. J Appl Stat 47(3):460–480 DOI: 10.1080/02664763.2019.1643296
Chew X, Khoo MBC, Khaw KW, Yeong WC, Chong ZL (2019) A proposed variable parameter control chart for monitoring the multivariate coefficient of variation. Qual Reliab Eng Int 35(7):2442–2461
Cui RQ, Reynolds MR Jr (1988) X̄-Chart with runs and variable sampling intervals. Commun Stat-Simul Comput 17(3):1073–1093 DOI: 10.1080/03610918808812713
Giner-Bosch V, Tran KP, Castagliola P, Khoo MBC (2019) An EWMA control chart for the multivariate coefficient of variation. Qual Reliab Eng Int 35(6):1515–1541 DOI: 10.1002/qre.2459
Haq A, Bibi N, Chong khoo MB (2020) Enhanced EWMA charts for monitoring the process coefficient of variation. Quality and Reliability Engineering International n/a(Early view)
Haq A, Khoo MB (2019) New adaptive EWMA control charts for monitoring univariate and multivariate coefficient of variation. Comput Ind Eng 131:28–40 DOI: 10.1016/j.cie.2019.03.027
Kang C, Lee M, Seon Y, Hawkins DM (2007) A control chart for the coefficient of variation. J Qual Technol 39(2):151–158 DOI: 10.1080/00224065.2007.11917682
Khatun M, Khoo MB, Lee MH, Castagliola P (2019) One-sided control charts for monitoring the multivariate coefficient of variation in short production runs. Trans Inst Meas Control 41(6):1712–1728 DOI: 10.1177/0142331218789481
Khaw KW, Chew X, Yeong WC, Lim SL (2019) Optimal design of the synthetic control chart for monitoring the multivariate coefficient of variation. Chemometr Intell Lab Syst 186:33–40 DOI: 10.1016/j.chemolab.2019.02.001
Khaw KW, Khoo MB, Castagliola P, Rahim M (2018) New adaptive control charts for monitoring the multivariate coefficient of variation. Comput Ind Eng 126:595–610 DOI: 10.1016/j.cie.2018.10.016
Lim AJX, Khoo MBC, Teoh WL, Haq A (2017) Run sum chart for monitoring multivariate coefficient of variation. Comput Ind Eng 109:84–95 DOI: 10.1016/j.cie.2017.04.023
Lucas JM, Saccucci MS (1990) Exponentially weighted moving average control schemes: properties and enhancements. Technometrics 32(1):1–12 DOI: 10.1080/00401706.1990.10484583
Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear parameters. J Soc Indust Appl Math 11(2):431–441 DOI: 10.1137/0111030
Montgomery DC (2012) Introduction to statistical quality control, 7th edn. Wiley, Hoboken
Ng WC, Khoo MBC, Chong ZL, Lee MH (2019) Economic and economic-statistical designs of multivariate coefficient of variation Chart REVSTAT - Statistical Journal (Forthcoming papers)
Nguyen HD, Tran KP, Celano G, Maravelakis PE, Castagliola P (2020) On the effect of the measurement error on shewhart t and ewma t control charts. Int J Adv Manufact Technol 107(9):4317–4332 DOI: 10.1007/s00170-020-05222-z
Nguyen QT, Tran KP, Castagliola P, Celano G, Lardjane S (2019) One-sided synthetic control charts for monitoring the multivariate coefficient of variation. J Stat Comput Simul 89(10):1841–1862 DOI: 10.1080/00949655.2019.1600694
Nguyen QT, Tran KP, Heuchenne HL, Nguyen TH, Nguyen HD (2019) Variable sampling interval Shewhart control charts for monitoring the multivariate coefficient of variation. Appl Stoch Model Bus Ind 35(5):1253–1268 DOI: 10.1002/asmb.2472
Reynolds MR Jr, Amin RW, Arnold JC (1990) CUSUM Charts with variable sampling intervals. Technometrics 32(4):371–384 DOI: 10.1080/00401706.1990.10484721
Reynolds MR Jr, Amin RW, Arnold JC, Nachlas JA (1988) X̄ Charts with variable sampling intervals. Technometrics 30(2):181–192
Ridge E, Kudenko D (2010) Tuning an algorithm using design of experiments. In: Bartz-Beielstein T, Chiarandini M, Paquete L, Preuss M (eds) Experimental methods for the analysis of optimization algorithms, chap. 11. Springer, New York, pp 265–286
Roberts SW (1959) Control chart tests based on geometric moving averages. Technometrics 1 (3):239–250 DOI: 10.1080/00401706.1959.10489860
Runger GC, Montgomery DC (1993) Adaptive sampling enhancements for Shewhart control charts. IIE Trans 25(3):41–51 DOI: 10.1080/07408179308964289
Runger GC, Pignatiello JJ (1991) Adaptive sampling for process control. J Qual Technol 23 (2):135–155 DOI: 10.1080/00224065.1991.11979304
Saccucci MS, Amin RW, Lucas JM (1992) Exponentially weighted moving average control schemes with variable sampling intervals. Commun Stat-Simul Comput 21(3):627–657 DOI: 10.1080/03610919208813040
Suárez-Cabello MJ (2019) Gráficos de control para el coeficiente de variación multivariante: estado actual y análisis comparativo. Master’s Thesis, Universitat Politècnica de València. http://hdl.handle.net/10251/129499
Tagaras G (1998) A survey of recent developments in the design of adaptive control charts. J Qual Technol 30(3):212–231 DOI: 10.1080/00224065.1998.11979850
Teoh WL, Khoo MBC, Castagliola P, Yeong WC, Teh SY (2017) Run-sum control charts for monitoring the coefficient of variation. Eur J Oper Res 257(1):144–158 DOI: 10.1016/j.ejor.2016.08.067
Tran PH, Tran KP (2016) The efficiency of CUSUM schemes for monitoring the coefficient of variation. Appl Stoch Model Bus Ind 32(6):870–881 DOI: 10.1002/asmb.2213
Tran PH, Tran KP, Huong TT, Heuchenne C, Nguyen TAD, Do CN (2018) A variable sampling interval ewma distribution-free control chart for monitoring services quality. In: Proceedings of the 2018 international conference on e-business and applications, pp. 1–5
Voinov V, Nikulin M (1996) Unbiased estimators and their applications: Volume 2: Multivariate Case, vol 362. Springer Science & Business Media, New York
Yeong W, Khoo MB, Tham L, Teoh W, Rahim M (2017) Monitoring the coefficient of variation using a variable sampling interval ewma chart. J Qual Technol 49(4):380–401 DOI: 10.1080/00224065.2017.11918004
Yeong WC, Khoo MBC, Teoh WL, Castagliola P (2016) A control chart for the multivariate coefficient of variation. Qual Reliab Eng Int 32(3):1213–1225 DOI: 10.1002/qre.1828
