449
Views
28
CrossRef citations to date
0
Altmetric
Articles

Optimal CUSUM and adaptive CUSUM charts with auxiliary information for process mean

& ORCID Icon
Pages 337-361 | Received 11 Mar 2018, Accepted 12 Nov 2018, Published online: 20 Nov 2018

References

  • Montgomery DC. Introduction to statistical quality control. 6th ed. New York (NY): John Wiley & Sons; 2009.
  • Page ES. Continuous inspection schemes. Biometrika. 1954;41(1/2):100–115. doi: 10.2307/2333009
  • Roberts SW. Control chart tests based on geometric moving averages. Technometrics. 1959;1(3):239–250. doi: 10.1080/00401706.1959.10489860
  • Lucas JM. Combined Shewhart-CUSUM quality control schemes. J Qual Technol. 1982;14(2):51–59. doi: 10.1080/00224065.1982.11978790
  • Woodall WH, Ncube MM. Multivariate CUSUM quality-control procedures. Technometrics. 1985;27(3):285–292. doi: 10.1080/00401706.1985.10488053
  • Crosier RB. Multivariate generalizations of cumulative sum quality-control schemes. Technometrics. 1988;30(3):291–303. doi: 10.1080/00401706.1988.10488402
  • Haq A. A new hybrid exponentially weighted moving average control chart for monitoring process mean. Qual Reliab Eng Int. 2013;29(7):1015–1025. doi: 10.1002/qre.1453
  • Haq A, Brown J, Moltchanova E. Improved fast initial response features for exponentially weighted moving average and cumulative sum control charts. Qual Reliab Eng Int. 2014;30(5):697–710. doi: 10.1002/qre.1521
  • Haq A, Brown J, Moltchanova E. A new cumulative sum quality control scheme for monitoring the process mean. Qual Reliab Eng Int. 2014;30(8):1165–1177. doi: 10.1002/qre.1539
  • Haq A, Brown J, Moltchanova E. New synthetic EWMA and synthetic CUSUM control charts for monitoring the process mean. Qual Reliab Eng Int. 2016;32(1):269–290. doi: 10.1002/qre.1747
  • Reynolds Jr MR, Stoumbos ZG. Should observations be grouped for effective process monitoring? J Qual Technol. 2004;36(4):343–366. doi: 10.1080/00224065.2004.11980283
  • Sparks RS. CUSUM charts for signalling varying location shifts. J Qual Technol. 2000;32(2):157–171. doi: 10.1080/00224065.2000.11979987
  • Shu L, Jiang W. A Markov chain model for the adaptive CUSUM control chart. J Qual Technol. 2006;38(2):135–147. doi: 10.1080/00224065.2006.11918601
  • Shu L, Jiang W, Wu Z. Adaptive CUSUM procedures with Markovian mean estimation. Comput Stat Data Anal. 2008;52(9):4395–4409. doi: 10.1016/j.csda.2008.02.024
  • Jiang W, Shu L, Apley DW. Adaptive CUSUM procedures with EWMA-based shift estimators. IIE Trans. 2008;40(10):992–1003. doi: 10.1080/07408170801961412
  • Wu Z, Jiao J, Yang M, et al. An enhanced adaptive CUSUM control chart. IIE Trans. 2009;41(7):642–653. doi: 10.1080/07408170802712582
  • Luo Y, Li Z, Wang Z. Adaptive CUSUM control chart with variable sampling intervals. Comput Stat Data Anal. 2009;53(7):2693–2701. doi: 10.1016/j.csda.2009.01.006
  • Li Z, Zhang J, Wang Z. Self-starting control chart for simultaneously monitoring process mean and variance. Int J Prod Res. 2010;48(15):4537–4553. doi: 10.1080/00207540903051692
  • Li Z, Luo Y, Wang Z. Cusum of Q chart with variable sampling intervals for monitoring the process mean. Int J Prod Res. 2010;48(16):4861–4876. doi: 10.1080/00207540903074983
  • Li Z, Wang Z. Adaptive CUSUM of the Q chart. Int J Prod Res. 2010;48(5):1287–1301. doi: 10.1080/00207540802484937
  • Dai Y, Luo Y, Li Z, Wang Z. A new adaptive CUSUM control chart for detecting the multivariate process mean. Qual Reliab Eng Int. 2011;27(7):877–884. doi: 10.1002/qre.1177
  • Hawkins DM. Multivariate quality control based on regression-adjusted variables. Technometrics. 1991;33(1):61–75.
  • Hawkins DM. Regression adjustment for variables in multivariate quality control. J Qual Technol. 1993;25(3):170–182. doi: 10.1080/00224065.1993.11979451
  • Wade MR, Woodall WH. A review and analysis of cause-selecting control charts. J Qual Technol. 1993;25(3):161–169. doi: 10.1080/00224065.1993.11979450
  • Abbasi SA, Riaz M. On enhanced control charting for process monitoring. Int J Phys Sci. 2013;8(17):759–775. doi: 10.5897/IJPS12.252
  • Riaz M. Monitoring process mean level using auxiliary information. Statist Neerlandica. 2008;62(4):458–481. doi: 10.1111/j.1467-9574.2008.00390.x
  • Riaz M. Monitoring process variability using auxiliary information. Comput Stat. 2008;23(2):253–276. doi: 10.1007/s00180-007-0084-6
  • Haq A, Khoo MBC. A new synthetic control chart for monitoring process mean using auxiliary information. J Stat Comput Simul. 2016;86(15):3068–3092. doi: 10.1080/00949655.2016.1150477
  • Haq A. New synthetic CUSUM and synthetic EWMA control charts for monitoring the process mean using auxiliary information. Qual Reliab Eng Int. 2017;33(7):1549–1565. doi: 10.1002/qre.2124
  • Abbas N, Riaz M, Does RJMM. An EWMA-type control chart for monitoring the process mean using auxiliary information. Commun Stat Theory Methods. 2014;43(16):3485–3498. doi: 10.1080/03610926.2012.700368
  • Ahmad S, Abbasi SA, Riaz M, et al. On efficient use of auxiliary information for control charting in SPC. Comput Ind Eng. 2014;67:173–184. doi: 10.1016/j.cie.2013.11.004
  • Haq A. New EWMA control charts for monitoring process dispersion using auxiliary information. Qual Reliab Eng Int. 2017;33(8):2597–2614. doi: 10.1002/qre.2220
  • Haq A. A new maximum EWMA control chart for simultaneously monitoring process mean and dispersion using auxiliary information. Qual Reliab Eng Int. 2017;33(7):1577–1587. doi: 10.1002/qre.2126
  • Sanusi RA, Abbas N, Riaz M. On efficient CUSUM-type location control charts using auxiliary information. Qual Technol Quant Manag. 2017;15(1):87–105. doi: 10.1080/16843703.2017.1304039
  • Adegoke NA, Riaz M, Sanusi RA, et al. EWMA-type scheme for monitoring location parameter using auxiliary information. Comput Ind Eng. 2017;114(12):114–129. doi: 10.1016/j.cie.2017.10.013
  • Sanusi RA, Abujiya MR, Riaz M, et al. Combined Shewhart-CUSUM charts using auxiliary variable. Comput Ind Eng. 2017;105:329–337. doi: 10.1016/j.cie.2017.01.018
  • 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. 2018; early access.
  • Haq A, Khoo MBC. A new double sampling control chart for monitoring process mean using auxiliary information. J Stat Comput Simul. 2018;88(5):869–899. doi: 10.1080/00949655.2017.1408111
  • Yashchin E. Estimating the current mean of a process subject to abrupt changes. Technometrics. 1995;37(3):311–323. doi: 10.1080/00401706.1995.10484337
  • Abbas N. Memory-type control charts in statistical process control [PhD thesis]. Amsterdam School of Economics Research Institute (ASE-RI), Faculty of Economics and Business (FEB); 2012.
  • Zhang S, Wu Z. Monitoring the process mean and variance using a weighted loss function CUSUM scheme with variable sampling intervals. IIE Trans. 2006;38(4):377–387. doi: 10.1080/07408170500232578
  • Ou Y, Wu Z, Goh TN. A new SPRT chart for monitoring process mean and variance. Int J Prod Econ. 2011;132(2):303–314. doi: 10.1016/j.ijpe.2011.05.002
  • Ou Y, Wu Z, Tsung F. A comparison study of effectiveness and robustness of control charts for monitoring process mean. Int J Prod Econ. 2012;135(1):479–490. doi: 10.1016/j.ijpe.2011.08.026
  • Zhao Y, Tsung F, Wang Z. Dual CUSUM control schemes for detecting a range of mean shifts. IIE Trans. 2005;37(11):1047–1057. doi: 10.1080/07408170500232321
  • Ryu J-H, Wan H, Kim S. Optimal design of a cusum chart for a mean shift of unknown size. J Qual Technol. 2010;42(3):311–326. doi: 10.1080/00224065.2010.11917826
  • Li Z, Zou C, Gong Z, et al. The computation of average run length and average time to signal: an overview. J Stat Comput Simul. 2014;84(8):1779–1802. doi: 10.1080/00949655.2013.766737
  • Fuchs C, Kenett RS. Multivariate quality control: theory and applications. New York: CRC Press; 1998.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.