Control chart for exponential individual samples with adaptive sampling interval method based on economic statistical design: an extension of costa and Rahim’s model

References

• Aslam, M., M. Azam, N. Khan, and C. Jun. 2015. A control chart for an exponential distribution using multiple dependent state sampling. Quality & Quantity 49 (2):455–62. doi:10.1007/s11135-014-0002-2.
   Web of Science ®Google Scholar
• Bai, D., and I. Choi. 1995. X-barand R control charts for skewed populations. Journal of Quality Technology 27 (2):120–31. doi:10.1080/00224065.1995.11979575
   Web of Science ®Google Scholar
• Banerjee, P. K., and M. A. Rahim. 1988. Economic design of X-bar control charts under Weibull shock models. Technometrics 30:407–14.
   Web of Science ®Google Scholar
• Chen, Y-K., K.-L. Hsieh, and C.-C. Chang. 2007. Economic design of the VSSI control charts for correlated data. International Journal of Production Economics 107:528–39.
   Web of Science ®Google Scholar
• Choobineh, F., and J. Ballard. 1987. Control-limits of QC Charts for skewed distributions using weighted-variance. IEEE Transactions on Reliability R-36 (4):473–7. doi:10.1109/TR.1987.5222442.
   Web of Science ®Google Scholar
• Costa, A. F. B., and M. A. Rahim. 2001. Economic design of X-bar charts with variable parameters: The Markov chain approach. Journal of Applied Statistics 28 (7):875–85. doi:10.1080/02664760120074951.
   Web of Science ®Google Scholar
• Derya, K., and H. Canan. 2012. Control Charts for Skewed Distributions: Weibull, Gamma, and Lognormal. Advances in Methodology & Statistics/Metodoloskizvezki 9:95–106.
   Google Scholar
• Duncan, A. J. 1956. The economic design of X-bar charts used to maintain current control of a process. Journal of the American Statistical Association 51:228–42.
   Web of Science ®Google Scholar
• Duncan, A. J. 1971. The economic design of T2 charts where there is a multiplicity of assignable causes. Journal of the American Statistical Association 66:107–21.
   Web of Science ®Google Scholar
• Faraz, A., E. Saniga, and R. B. Kazemzadeh. 2010. Economic and Economic Statistical Design of T2 Control Chart with two-adaptive Sample Sizes. Journal of Statistical Computation and Simulation 80 (12):1299–316. doi:10.1080/00949650903062574.
   Web of Science ®Google Scholar
• Faraz, A., and E. Saniga. 2011. A unification and some corrections to Markov chain approaches to develop variable ratio sampling scheme control charts. Statistical Papers 52 (4):799–818. doi:10.1007/s00362-009-0288-7.
   Google Scholar
• Ghanaatiyan, R., A. Amiri, and F. Sogandi. 2017. Multi-Objective Economic-Statistical Design of VSSI-MEWMA-DWL Control Chart with Multiple Assignable Causes. Journal of Industrial and Systems Engineering 10:34–58.
   Google Scholar
• Johnson, N. L., and S.-I. Kotz. 1970. Continuous univariate distributions. New York: Wiley.
   Google Scholar
• Karaboga, D. 2005. An idea based on honey bee swarm for numerical optimization. TR-06, October 2005.
   Google Scholar
• Karaboga, D., and B. Akay. 2009. A comparative study of Artificial Bee Colony algorithm. Applied Mathematics and Computation 214 (1):108–32. doi:10.1016/j.amc.2009.03.090.
   Web of Science ®Google Scholar
• Karaboga, D., and B. Basturk. 2007. A powerful and efficient algorithm for numerical function optimization: Artificial bee colony (ABC) algorithm. Journal of Global Optimization 39 (3):459–71. doi:10.1007/s10898-007-9149-x.
   Web of Science ®Google Scholar
• Karaboga, D., and B. Basturk. 2008. On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing 8 (1):687–97. doi:10.1016/j.asoc.2007.05.007.
   Web of Science ®Google Scholar
• Khadem, Y., and M. B. Moghadam. 2019. Economic statistical design of -control charts: Modified version of Rahim and Banerjee (1993) model. Communications in Statistics - Simulation and Computation 48 (3):684–703. doi:10.1080/03610918.2017.1395042.
   Web of Science ®Google Scholar
• Lorenzen, T. J., and L. C. Vance. 1986. The economic design of control charts: A unified approach. Technometrics 28 (1):3–10. doi:10.1080/00401706.1986.10488092.
   Web of Science ®Google Scholar
• Montgomery, D. C. 2009. Introduction to statistical quality control. 6th ed. New York: John Wiley & Sons.
   Google Scholar
• Nelson, L. S. 1976. Constructing Normal Probability Paper. Journal of Quality Technology 8 (1):56–7. doi:10.1080/00224065.1976.11980713.
   Google Scholar
• Nelson, L. S. 1994. A control chart for parts-per-million nonconforming items. Journal of Quality Technology 26 (3):239–40. doi:10.1080/00224065.1994.11979529.
   Web of Science ®Google Scholar
• Nguyen, H., Q. T. Nguyen, K. Tran, and D. Ho. 2019. On the performance of VSI Shewhart control chart for monitoring the coefficient of variation in the presence of measurement errors. The International Journal of Advanced Manufacturing Technology 104 (1-4):211–43. doi:10.1007/s00170-019-03352-7.
   Web of Science ®Google Scholar
• Prabhu, S. S., D. C. Montgomery, and G. C. Runger. 1997. Economic-statistical design of an adaptive X-bar chart. International Journal of Production Economics 49 (1):1–l5. doi:10.1016/S0925-5273(96)00100-4.
   Web of Science ®Google Scholar
• Rahim, M. A., and P. K. Banerjee. 1993. A generalized model for the economic design of X control charts for production systems with increasing failure rate and early replacement. Naval Research Logistics 40 (6):787–809. doi:10.1002/1520-6750(199310)40:6<787::AID-NAV3220400605>3.0.CO;2-4.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr.R. W. Amin, J. C. Arnolds, and J. A. Nachlas. 1988. X-bar chart with variable sampling intervals. Technometrics 30:181–92.
   Web of Science ®Google Scholar
• Saniga, E. M. 1989. Economic statistical control chart designs with an application to X-bar and R charts. Technometrics 31:313–20.
   Web of Science ®Google Scholar
• Santiago, E., and J. Smith. 2013. Control charts based on the exponential distribution: Adapting runs rules for the t chart. Quality Engineering 25 (2):85–96. doi:10.1080/08982112.2012.740646.
   Web of Science ®Google Scholar
• Tavakoli, M., and R. Pourtaheri. 2020. Economic and Economic-Statistical Design of Multivariate Bayesian Control Chart with Variable Sampling Intervals. Pakistan Journal of Statistics and Operation Research 16:737–50. doi:10.18187/pjsor.v16i4.3417.
   Web of Science ®Google Scholar
• Tavakoli, M., R. Pourtaheri, and M. B. Moghadam. 2017. Economic and economic-statistical designs of VSI Bayesian control chart using Monte Carlo method and ABC algorithm. Journal of Statistical Computation and Simulation 87 (4):766–76. doi:10.1080/00949655.2016.1225069.
   Web of Science ®Google Scholar
• Torabian, M., M. B. Moghadam, and A. Faraz. 2010. Economically Designed Hotelling’s T2control chart using VSICL scheme. The Arabian Journal for Science and Engineering 35:251–63.
   Web of Science ®Google Scholar
• Yang, S. F., and M. A. Rahim. 2005. Economic statistical process control for multivariate quality characteristics under Weibull shock model. International Journal of Production Economics 98 (2):215–26. doi:10.1016/j.ijpe.2004.05.014.
   Web of Science ®Google Scholar
• Zhang, G., and V. Berardi. 1997. Economic statistical design of X-bar control charts for systems with Weibull in-control times. Computers & Industrial Engineering 32 (3):575–86. doi:10.1016/S0360-8352(96)00314-2.
   Web of Science ®Google Scholar