Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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Design of Robust $\bar{x}$ Control Chart Using a Location Parameter

위치모수를 이용한 로버스트 $\bar{x}$ 관리도의 설계

  • Chung, Young-Bae (Dept. of Industrial and Management Engineering, Incheon National University) ;
  • Kim, Yon-Soo (Dept. of Industrial and Management Engineering, Incheon National University)
  • 정영배 (인천대학교 산업경영공학과) ;
  • 김연수 (인천대학교 산업경영공학과)
  • Received : 2014.01.29
  • Accepted : 2014.03.11
  • Published : 2014.03.31
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Abstract

Control charts are generally used for process control, but the role of traditional control charts have been limited in case of a contaminated process. Traditional $\bar{x}$ control charts have not been activated well for such a problem because of trying to control processes as center line and control limits changed by the contaminated value. This paper is to propose robust $\bar{x}$ control charts which is considering a location parameter in order to respond to contaminated process. In this paper, we consider $\bar{x}_{\alpha}$, that is trimmed rate; typically ten percent rate is used. By comparing with p, ARL value, the responding results are decided. The comparison resultant results of proposed two control charts are shown and are well contrasted.

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References

  1. Jensen, W.A., Jones-Farmer, L.A., Champ, C.W., and Woodall, W.H., Effects of Parameter Estimation on Control Chart Properties : A Literature Review. Journal of Quality Technology, 2006, Vol. 38, No. 4, p 349-364. https://doi.org/10.1080/00224065.2006.11918623
  2. Chung, Y.B. and Kim, Y.S., Comparison and Application of Process Capability Indices. Journal of Society of Korean Industrial and System Engineering, 2007, Vol. 30, No. 4, p 182-189.
  3. Kim, D.H. and Chung, Y.B., Design of Expected Loss Control Chart considering Economic Loss. Journal of Society of Korean Industrial and System Engineering, 2013, Vol. 36, No. 2, p 56-62. https://doi.org/10.11627/jkise.2013.36.2.56
  4. Rocke, D.M., Robust Control Charts. Technometrics, 1989, Vol.31, No. 2, p 173-184. https://doi.org/10.1080/00401706.1989.10488511
  5. Schoonhoven, M., Riaz, M., and Does, R.J.M.M., Design and Analysis of Control Charts for Standard Deviation with Estimated Parameters. Journal of Quality Technology, 2011, Vol. 43, No. 4, p 307-333. https://doi.org/10.1080/00224065.2011.11917867
  6. Schoonhoven, M. and Does, R.j.M.M., A Robust Standard Deviation Control Chart. Technometrics, 2012, Vol. 54, No. 1, p 73-82. https://doi.org/10.1080/00401706.2012.648869
  7. Tatum, L.G., Robust Estimation of the Process Standard Deviation for Control Charts. Technometrics, 1997, Vol. 39, No. 2, p 127-141. https://doi.org/10.1080/00401706.1997.10485078
  8. Tukey, J.W. Extploratory Data Analysis. Reading. MA : Addison-Wesley; 1977.
  9. Wang, T., Li, Y., and Cui, H., On Weighted Randomly Trimmed Means. Journal of Systems Science and Complexity, 2007, Vol. 31, No. 4, p 376-386.
  10. Wu, C., Zhao, Y., and Wang, Z., The Median Absolute Deviation and Their Applications to Shewhart X Control Charts. Communications in Statistics-Simulation and Computation, 2002, Vol. 31, No. 3, p 425-442. https://doi.org/10.1081/SAC-120003850

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  1. 로버스트 추정에 근거한 수정된 ${\bar{x}}$-s 관리도의 설계 vol.38, pp.1, 2015, https://doi.org/10.11627/jkise.2014.38.1.15