International Journal of Quality Innovation

Korean Society for Quality Management (한국품질경영학회)
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An Economic-Statistical Design of Moving Average Control Charts

  • Yu, Fong-Jung (Dept. of Industrial Engineering and Technology Management Da-Yeh University) ;
  • Chin, Hsiang (Dept. of Industrial Engineering and Technology Management Da-Yeh University) ;
  • Huang, Hsiao Wei (Dept. of Industrial Engineering and Technology Management Da-Yeh University)
  • Published : 2006.12.31
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Abstract

Control charts are important tools of statistical quality control. In 1956, Duncan first proposed the economic design of $\bar{x}-control$ charts to control normal process means and insure that the economic design control chart actually has a lower cost, compared with a Shewhart control chart. An moving average (MA) control chart is more effective than a Shewhart control chart in detecting small process shifts and is considered by some to be simpler to implement than the CUSUM. An economic design of MA control chart has also been proposed in 2005. The weaknesses to only the economic design are poor statistics because it dose not consider type I or type II errors and average time to signal when selecting design parameters for control chart. This paper provides a construction of an economic-statistical model to determine the optimal parameters of an MA control chart to improve economic design. A numerical example is employed to demonstrate the model's working and its sensitivity analysis is also provided.

Keywords

References

  1. Banerjee, P. K. and Rahim, M. A.(1988), Economic design of $\bar{x}$ control charts under Weibull shock models. Technometrics, Vol. 30, No.4, pp. 407-414 https://doi.org/10.2307/1269803
  2. Chen, Y. S. and Yu, F. J.(2003), Determination of optimal design parameters of moving average control charts. International Journal of advanced Manufactuing Technology, No. 21, pp. 397-402
  3. Collani, E. V.(1986), A simple procedure to determine the economic design of an $\bar{x}$ control chart. Journal of . Quality Technology, Vol. 18, No.3, pp. 145-151 https://doi.org/10.1080/00224065.1986.11979002
  4. Duncan, A. J.(1956), The economic design of $\bar{x}$ charts used to maintain current control of a process, Journal of the American. Statistical. Association. No. 51, pp. 228-242
  5. Duncan, A. J.(1971), The economic design of $\bar{x}$ charts when there is a multiplicity of assignable causes. Journal of the American. Statistical. Association, No. 66, pp. 107-121
  6. Lorenzen, T. J. and Vance, L. C.(1986), The economic design of control charts: a unified approach, Technometrics, Vol. 28, No.1, pp. 3-10 https://doi.org/10.2307/1269598
  7. McWilliams, T. P.(1994), Economic, statistical, and economic-statistical $\bar{x}$ chart design, Journal of Quality Technology, No. 26, pp. 227-238
  8. Montgomery, D. C.(2001), Introduction to Statistical Quality Control, John Wiley and Sons, New York
  9. Saniga, E. M.(1977), Joint economically optimal design of $\bar{x}$ and R control charts, Management Science, Vol. 24, No.4, pp. 420-431 https://doi.org/10.1287/mnsc.24.4.420
  10. Saniga, E. M.(1989), Economic statistical control chart designs with an application to $\bar{X}$ and R charts, Technometrics, No. 31, pp. 313-320
  11. Yang, S. F.(1998), Economic statistical design of S control charts using Taguchi loss function, International Journal of Quality & Reliability Management, Vol. 15, No.3, pp. 259-272 https://doi.org/10.1108/02656719810209446
  12. Yu, F.-J. and Chen, Y. S.(2005), Economic design of moving average control charts, Quality Engineering, Vol. 17, No.3. pp. 391-397 https://doi.org/10.1081/QEN-200059861
  13. Yu, F.-J.(2005), Economic design of moving average control charts using Taguchi loss function, The Proceedings of the 11th International Conference on Industrial Engineering and Engineering Management, Northeastern University, Shenyang, China, pp. 243-246