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Original Articles

Economic and economic–statistical designs of VSI Bayesian control chart using Monte Carlo method and ABC algorithm

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Pages 766-776 | Received 09 Apr 2016, Accepted 12 Aug 2016, Published online: 02 Sep 2016

References

  • Duncan AJ. The economic design of X-bar charts used to maintain current control of a process. J Am Stat Assoc. 1956;51(274):228–242.
  • Lorenzen TJ, Vance LC. The economic design of control charts: a unified approach. Technometrics. 1986;28(1):3–10. doi: 10.1080/00401706.1986.10488092
  • Banerjee PK, Rahim MA. Economic design of X-bar control charts under Weibull shock models. Technometrics. 1988;30(4):407–414.
  • Saniga EM. Economic statistical control chart designs with an application to X-bar and R charts. Technometrics. 1989;31(3):313–320.
  • Yeong W, Khoo MBC, Yanjing O, et al. Economic–statistical design of the synthetic X-bar chart with estimated process parameters. Qual Reliab Eng Int. 2015;31(5):863–876. doi: 10.1002/qre.1645
  • Chen FL, Yeh CH. Economic statistical design for x-bar control charts under non-normal distributed data with Weibull in-control time. J Oper Res Soc. 2010;62(4):750–759. doi: 10.1057/jors.2010.36
  • Faraz A, Kazemzadeh RB, Saniga E. Economic and economic statistical design of T2 control chart with two-adaptive sample sizes. J Stat Comput Simul. 2010;80(10):1299–1316. doi: 10.1080/00949650903062574
  • Faraz A, Kazemzadeh RB, Heuchenne C, et al. The optimal design of the VSI T2 control chart. JIRSS. 2010;9(1):1–19.
  • Taylor HM. Markovian sequential replacement processes. Ann Math Stat. 1965;36(6):1677–1694. doi: 10.1214/aoms/1177699796
  • Taylor HM. Statistical control of a Gaussian process. Technometrics. 1967;9(1):29–41. doi: 10.1080/00401706.1967.10490439
  • Calabrese JM. Bayesian process control for attributes. Manage Sci. 1995;41(4):637–645. doi: 10.1287/mnsc.41.4.637
  • Tagaras G, Nikolaidis Y. Comparing the effectiveness of various Bayesian X-bar control charts. Oper Res. 2002;50(5):878–888. doi: 10.1287/opre.50.5.878.361
  • Maikis V. Multivariate Bayesian process control for a finite production run. Eur J Oper Res. 2009;194(3):795–806. doi: 10.1016/j.ejor.2008.01.001
  • Yin Z, Maikis V. Economic and economic–statistical design of a multivariate Bayesian control chart for condition-based maintenance. IMA J Manag Math. 2011;22(1):47–63. doi: 10.1093/imaman/dpp026
  • Tavakoli M, Pourtaheri R, Moghadam MB. Economic–statistical design of FRS Bayesian control chart using Monte Carlo method and artificial bee colony (ABC) algorithm. İSTATİSTİK. 2015;8(3):74–81.
  • Tavakoli M, Pourtaheri R, Moghadam MB. Economic–statistical design of VSI Hotelling’s T2 control chart using ABC algorithm. 2nd National industrial mathematics conference; Tabriz; May 2015.
  • Liu J, Pang C, Jiang R. Economic optimisation in automotive body manufacturing quality control based on multivariate Bayesian control chart. Int J Ind Syst Eng. 2014;18(1):125–138.
  • Zheng Y, Geng Q, He R. The application of control chart based on Bayesian statistic in equipment maintenance quality control. Qual Reliab Risk Maint Saf Eng. 2013:1654–1657. doi:10.1109/QR2MSE.2013.6625894.
  • Wang J, Lee C. Multistate Bayesian control chart over a finite horizon. Oper Res. 2015;63(4):949–964. doi: 10.1287/opre.2015.1396
  • Nenes G, Tagaras G. The economically designed two-sided Bayesian X¯ control chart. Eur J Oper Res. 2007;183(1):263–277. doi: 10.1016/j.ejor.2006.09.074
  • Apley D. Posterior distribution charts: a Bayesian approach for graphically exploring a process mean. Technometrics. 2012;54(3):279–293. doi: 10.1080/00401706.2012.694722
  • Reynolds MRJr, Arnold JC. Optimal one-sided Shewhart control charts with variable sampling intervals between samples. Technical Report 86-3. Virginia Polytechnic Institute and State University, Dept. of Statistics; 1986.
  • Niakia STA, Toosheghanianb M, Gazanehc FM. Economic design of VSI X¯ control chart with correlated non-normal data under multiple assignable causes. J Stat Comput Simul. 2013;83(7):1279–1300. doi: 10.1080/00949655.2012.658395
  • Faraz A, Seif A. A meta model to optimally design the VSI T2 control chart. Int J Appl Oper Res. 2012;1(3):53–69.
  • Yang S. Using a new VSI eWMA average loss control chart to monitor changes in the difference between the process mean and target and/or the process variability. Appl Math Model. 2013;37(16–17):7973–7982. doi: 10.1016/j.apm.2013.03.023
  • Costa AFB, Rahim MA. Economic design of X-bar charts with variable parameters: the Markov chain approach. J Appl Stat. 2001;28(7):875–885. doi: 10.1080/02664760120074951
  • Karaboga, D. An idea based on honey bee swarm for numerical optimization. Technical Report TR06. Erciyes University: Engineering Faculty, Computer Engineering Department; 2005.
  • Karaboga D, Akay B. A comparative study of artificial bee colony algorithm. Appl Math Comput. 2009;214(1):108–132. doi: 10.1016/j.amc.2009.03.090
  • Karaboga D, Basturk B. On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput. 2008;8(1):687–697. doi: 10.1016/j.asoc.2007.05.007
  • Seif A, Sadeghifar M. Non-dominated sorting genetic algorithm (nSGA-II) approach to the multi-objective economic statistical design of variable sampling interval T2 control charts. Hacet J Math Stat. 2015;44(1):203–214.

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