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

  • 제29권2호
  • /
  • Pages.97-103
  • /
  • 2006
  • /
  • 2005-0461(pISSN)
  • /
  • 2287-7975(eISSN)
한국산업경영시스템학회 (Society of Korea Industrial and System Engineering)
권호 표지

감마분포 공정을 위한 변동계수 관리도의 통계적 설계

The Statistical Design of CV Control Charts for the Gamma Distribution Processes

  • Lee, Dong-Won (Dept of Customer order Logistics & Material/Production Planning, BOSCH-KAMCO) ;
  • Paik, Jae-Won (Dept. of Industrial Engineering, Hanyang University) ;
  • Kang, Chang-Wook (Dept. of Information & Industrial Engineering, Hanyang University)
  • 발행 : 2006.06.30
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초록

Recently, the control chart is developed for monitoring processes with normal short production runs by the coefficient of variation(CV) characteristic for a normal distribution. This control chart does not work well in non-normal short production runs. And most of industrial processes are known to follow the non-normal distribution. Therefore, the control chart is required to be developed for monitoring the processes with non-normal short production runs by the CV characteristics for a non-normal distribution. In this paper, we suggest the control chart for monitoring the processes with a gamma short runs by the CV characteristics for a gamma distribution. This control chart is denoted by the gamma CV control chart. Futhermore evaluated the performance of the gamma CV control chart by average run length(ARL).

키워드

참고문헌

  1. Bartlett, M. S., 'Properties of Sufficiency and Statistical Tests,' Proceeding of the Royal Society of London Series A, Mathematical and Physical Sciences, 901 : 268-282, 1937
  2. Bishop, D. J. and Nair, U. S., 'A Note on Certain Methods of Testing for the Homogeneity of a Set of Estimated Variances,' Supplement to the Journal of the Royal Statistical Society, 6 : 89-99, 1939 https://doi.org/10.2307/2983627
  3. Johnson, N. L. and Kots, S., Introduction in Statistics - Continuous Univariate Distribution, 1st ed., John Willey & Sons, NY, 1970
  4. Lee, M. S., Kang, C. W., and Sim, S. B., 'Statistical Design of CV Control Charts with Approximated Distribution,' Journal of the Society of Korea Industrial and Systems Engineering, 27(3) : 12-20, 2004
  5. Linhart, H., 'Approximate Confidence Limits for the Coefficient of Variation of Gamma Distribution,' Biomerics, 21(3) : 733-738, 1965 https://doi.org/10.2307/2528554
  6. Monfort, F., 'A Fitting Gamma Distributions to Fibre-Diameter Measurements on Wool Tops,' Journal of the Textile Institute, 54 : 185-191, 1964
  7. Montgomery, D. C., Introduction to Statistical Quality Control, 4th ed., John Wiley & Sons, NY, 2001
  8. Nelson, L. S., 'Some Notes on Variation,' Journal of Quality Technology, 31(4) : 459-462, 1999 https://doi.org/10.1080/00224065.1999.11979952
  9. Vangel, M. G., 'Confidence Intervals for a Normal Coefficient of Variation,' The American Statistician, 15(1) : 21-25, 1996