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Articles

Economic statistical design of the VP control charts for monitoring a process under non-normality

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Pages 4218-4230 | Received 15 Jan 2014, Accepted 11 Oct 2014, Published online: 15 Dec 2014

References

  • Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013a. “Economic Design of Variable Sampling Interval X-Bar Control Charts for Monitoring Correlated Non Normal Samples.” Communications in Statistics – Theory and Methods 42 (18): 3339–3358. doi:10.1080/03610926.2011.628769.
  • Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013b. “A Parameter-tuned Genetic Algorithm for Economic-statistical Design of Variable Sampling Interval X-Bar Control Charts for Non-normal Correlated Samples.” Communications in Statistics – Simulation and Computation 43 (5): 1212–1240. doi:10.1080/03610918.2012.732176.
  • Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013c. “Economic Design of VSI Control Chart with Correlated Non-normal Data under Multiple Assignable Causes.” Journal of Statistical Computation and Simulation 83 (7): 1279–1300.
  • Burr, I. W. 1942. “Cumulative Frequency Functions.” The Annals of Mathematical Statistics 13: 215–232.
  • Burr, I. W. 1967. “The Effect of Non-normality on Constants for and R Charts.” Industrial Quality Control 22: 563–569.
  • Celano, G. 2011. “On the Constrained Economic Design of Control Charts: A Literature Review.” Produção 21 (2): 223–234.
  • Chen, Y. K. 2003. “An Evolutionary Economic-statistical Design for VSI Control Charts under Non-normality.” The International Journal of Advanced Manufacturing Technology 22 (7–8): 602–610.
  • Chen, Y. K. 2004. “Economic Design of Control Charts for Non-normal Data Using Variable Sampling Policy.” International Journal of Production Economics 92 (1): 61–74.
  • Chen, Y.-K., and K.-C. Chiou. 2005. “Optimal Design of VSI Control Charts for Monitoring Correlated Samples.” Quality and Reliability Engineering International 21 (8): 757–768. doi:10.1002/qre.684.
  • Chou, C., C. Chen, and H. Liu. 2000. “Economic-statistical Design of Charts for Non-normal Data by Considering Quality Loss.” Journal of Applied Statistics 27: 939–951.
  • Das, T. K., and V. Jain. 1997. “An Economic Design Model for X Charts with Random Sampling Policies.” IIE Transactions (Institute of Industrial Engineers) 29 (6): 507–518.
  • Das, T. K., V. Jain, and A. Gosavi. 1997. “Economic Design of Dual-sampling-interval Policies for Charts with and without Run Rules.” IIE Transactions (Institute of Industrial Engineers) 29 (6): 497–506.
  • De Magalhães, M. S., A. F. B. Costa, and E. K. Epprecht. 2002. “Constrained Optimization Model for the Design of an Adaptive Chart.” International Journal of Production Research 40 (13): 3199–3218.
  • Faraz, A., C. Heuchenne, and E. Saniga. 2012. “Optimal T2 Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart.” Quality and Reliability Engineering International 28: 751–760. doi:10.1002/qre.1268.
  • Faraz, A., C. Heuchenne, E. Saniga, and A. F. B. Costa. 2014. “Double Objective Economic Statistical Design of the VP T2 Control Chart: Wald’s Identity Approach.” Journal of Statistical Computation and Simulation 84 (10): 2123–2137. doi:10.1080/00949655.2013.784315.
  • Faraz, A., R. B. Kazemzadeh, A. Parsian, and M. B. Moghadam. 2012. “On the Advantages of Economically Designed Variable Sample Sizes and Sampling Intervals T2 Control Chart.” Quality & Quantity, International Journal of Methodology 46: 1323–1336. doi:10.1007/s11135-010-9325-9.
  • Faraz, A., R. B. Kazemzadeh, and E. Saniga. 2010. “Economic and Economical Statistical Design of Hotelling’s T2 Control Chart with Two-state Adaptive Sample Size.” Journal of Statistical Computation and Simulation 80 (12): 1299–1316. doi:10.1080/00949650903062574.
  • Faraz, A., and E. Saniga. 2011. “Economic Statistical Design of a T2 Control Chart with Double Warning Lines.” Quality and Reliability Engineering International 27 (2): 125–139. doi:10.1002/qre.1095.
  • Lin, Y.-C., and C.-Y. Chou. 2005. “On the Design of Variable Sample Size and Sampling Intervals Charts under Non-normality.” International Journal of Production Economics 96 (2): 249–261. doi:10.1016/j.ijpe.2004.05.001.
  • Lin, Y.-C., and C.-Y. Chou. 2007. “Non-normality and the Variable Parameters Control Charts.” European Journal of Operational Research 176 (1): 361–373. doi:10.1016/j.ejor.2005.06.051.
  • Lorenzen, T. J., and L. C. Vance. 1986. “The Economic Design of Control Charts: A Unified Approach.” Technometrics 28 (1): 3–10.
  • Lowry, C. A., and D. C. Montgomery. 1995. “A Review of Multivariate Control Charts.” IIE Transactions 27: 800–810.
  • Montgomery, D. C. 2005. Introduction to Statistical Quality Control. New York: Wiley.
  • Montgomery, D. C., and W. H. Woodall. 1997. “Discussion on Statistically-based Process Monitoring and Control.” Journal of Quality Technology 29 (2): 121–143.
  • Park, C., and M. Reynolds. 1994. “Economic Design of a Variable Sample Size-chart.” Communications in Statistics – Simulation and Computation 23: 467–483.
  • Rahim, M. A. 1985. “Economic Model of Chart Under Non-normality and Measurement Errors.” Computers & Operations Research 12 (3): 291–299.
  • Reynolds, J. M. R., R. W. Amin, J. C. Arnold, and J. A. Nachlas. 1988. “ Charts with Variable Sampling Intervals.” Technometrics 30 (2): 181–192.
  • Saniga, E. M. 1989. “Economic Statistical Control Chart Designs with an Application to and R Charts.” Technometrics 31: 313–320.
  • Seif, A., A. Faraz, C. Heuchenne, E. Saniga, and M. B. Moghadam. 2011. “A Modified Economic-statistical Design of T2 Control Chart with Variable Sample Sizes and Control Limits.” Journal of Applied Statistics 38: 2459–2469. doi:10.1080/02664763.2011.559205.
  • Seif, A., A. Faraz, and M. Sadeghifar. 2014. “Evaluation of the Economic Statistical Design of the Multivariate T2 Control Chart with Multiple Variable Sampling Intervals Scheme: NSGA-II Approach.” Journal of Statistical Computation and Simulation: doi:10.1080/00949655.931404.
  • Woodall, W. H. 1986. “Weaknesses of the Economic Design of Control Charts.” Technometrics 28: 408–409.
  • Yang, K. A. I., and W. M. Hancock. 1990. “Statistical Quality Control for Correlated Samples.” International Journal of Production Research 28 (3): 595–608. doi:10.1080/00207549008942738.
  • Yourstone, S. A., and W. J. Zimmer. 1992. “Non-normality and the Design of Control Charts for Averages.” Decision Sciences 23 (5): 1099–1113.
  • Yu, F. J., and J. L. Hou. 2006. “Optimization of Design Parameters for Control Charts with Multiple Assignable Causes.” Journal of Applied Statistics 33 (3): 279–290. doi:10.1080/02664760500445541.
  • Yu, F. J., M. A. Rahim, and H. Chin. 2007. “Economic Design of VSI Control Charts.” International Journal of Production Research 45 (23): 5639–5648. doi:10.1080/00207540701325512.
  • Zimmer, W. J., and I. W. Burr. 1963. “Variables Sampling Plans Based on Non-normal Populations.” Industrial Quality Control 21: 18–26.

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