More Comments on Non-Normal Process Capability Indices : $C_{Np}$(U, V, W)

비정규 공정의 공정능력지수에 관한 고찰 : $C_{Np}$(U, V, W)

  • 김진수 (한밭대학교 산업경영공학과) ;
  • 김홍준 (대구산업정보대학 산업안전보건과)
  • Published : 2002.12.01

Abstract

In this paper, We consider some generalization of these five basic indices to cover non-normal distribution. The proposed generalizations are compared with the five basic indices. The results show that the proposed generalizations are more accurate than those basic indices and other generalization in measuring process capability. We compared an estimation methods by Clements with based on sample percentiles WVM to calculate the proposed generalization as an example The results indicated that Clements method is more accurate than percentile method, WVM in measuring process capability But the calculations of percentile method are easy to understand, straightforward to apply, and show be valuable used for applications.

Keywords

References

  1. Benson, E. D.; 'Statistical Properties of a System of Fourth - Generation Process Capability Indices $C_{psk}(U,V,W)$, Ph. D. Dissertation, University of Maryland, 1994.
  2. Chang, P. L., Lu, K. H.; 'PCI Calculations for any Shape of Distributions with percentile', Quality World, technical section (September), 110-114, 1994
  3. Chen, K. S., Pearn, W. L.; 'An Application of Non-NormalProcess Capability Indices', Quality and Reliability Engineering International, Vol. 13, 355-360, 1997 https://doi.org/10.1002/(SICI)1099-1638(199711/12)13:6<355::AID-QRE125>3.0.CO;2-V
  4. Chan, L. K., Cheng, S. W., Spiring, F. A. 'CCS'; 'A New Measure of Process Capability: $C_{psk}$', Journal of Quality Technology. Vol. 20(3), 162-173, 1998
  5. Choi, B. C., Owen, D. B.; 'A Study of A New Process Capability Index', Communications in Statistics - Theory and Methods, Vol. 19(4), 1231-1245, 1990 https://doi.org/10.1080/03610929008830258
  6. Choobinch, F., Ballard, J. L.; 'Control-limits of QC Charts for Skewed Distributions using Weighted-Variance', IEEE Trans. Reliab., REL-36, 473-477, 1987 https://doi.org/10.1109/TR.1987.5222442
  7. Choobinch, F., Branting, D.; 'A Simple Approximation for semivariance', Eur. J. Oper. Res., 27, 364-370, 1986 https://doi.org/10.1016/0377-2217(86)90332-2
  8. Clements, J. A.; 'Process Capability Calculations for Non-Normal Distributions', Quality Progress, Vol. 22(9), 95-100, 1989
  9. Gruska, G. F., Lamberson, L. R., and Mirkhani, K.; Non-Normal Data Analysis, Multiface Publishing Co., Michigan, 1989
  10. Kane, V. E.; 'Process Capability Indices', Journal of Quality Technology, Vol. 18(1), 41-52, 1986
  11. Pearn, W. L., Kotz, S., Johnson, N. L.; 'Distributional and Inferential Properties of Process Capability Indices', Journal of Quality Technology, Vol. 24(4), 216-231, 1992
  12. Pearn, W. L., and Kotz, S.; 'Application of Clements Method for Calculationg Second-and-Third-GenerationProcess Capability Indices Non-Normal Pearsonian Population' Quality Engineering, Vol. 7(1), 139-145, 1995-5 https://doi.org/10.1080/08982119408918772
  13. Schneider, H., pruett, J., Langange, C.; 'Uses of Process Capability Indices in the Supplier Certification Process', Quality Engineering, Vol. 8(2), 225-235, 1995 https://doi.org/10.1080/08982119508904621
  14. Va〃nnman, K.; 'A unified Approach to Capability Indices', Statistica Sinica, Vol. 5, 805-820, 1995
  15. Zwick, D.; 'A Hybrid Method for Fitting Distributions to Data and Its use is Computing Process Capability Indices', Quality Engineering, Vol. 7(3), 601-613, 1995 https://doi.org/10.1080/08982119508918806