Comparison and Application of Process Capability indices

공정능력지수에 대한 비교와 적용

  • Chung, Young-Bae (Dept. of Industrial and Management Engineering, University of Incheon) ;
  • Kim, Yon-Soo (Dept. of Industrial and Management Engineering, University of Incheon)
  • 정영배 (인천대학교 산업경영공학과) ;
  • 김연수 (인천대학교 산업경영공학과)
  • Published : 2007.12.31

Abstract

Process Capability indices(PCIs) have been widely used in manufacturing industries to provide a quantitative measure of process performance. PCIs have been developed to represent process capability more exactly. The traditional process capability indices Cp, Cpk, Cpm, $Cpm^+$ have been used to characterize process performance on the basis of univariate quality characteristics. Cp, Cpk consider the process variation, Cpm considers both the process variation and the process deviation from target and $Cpm^+$ considers economic loss for the process deviation from target In the previous studies, only one designated location on each part is measured. System process capability index even though in single process, multiple measurement locations on each part are required to calculate the reliable process capability. In manufacturing industry, there is growing interest in quantitative measures of process variation under multivariate quality characteristics. The multivariate process capability index incorporates both the process variation and the process deviation from target or considers expected loss caused by the process deviation from target. In this paper, we compare various process capability indices and propose the application method of PCIs.

References

  1. 이도경, 이현석; '다수 측정위치를 갖는 단일 공정의 공정능력지수', 산업경영시스템학회지, 30(3), 28-36, 2007
  2. 정영배, 문혜진; '역정규 손실함수를 이용한 공정능력지수에 관한 연구', 품질경영학회지, 30(3) : 66-78, 2002
  3. 정영배; '기대손실을 이용한 다변량 공정능력지수', 산업경영시스템학회지, 28(4) : 116-123, 2005
  4. Boyles, R. A.; 'The Taguchi Capability index,' Journal of Quality Technology, 23(1) : 17-26, 1991 https://doi.org/10.1080/00224065.1991.11979279
  5. Chan, L. K., Cheng, S. W., and Spiring, F. A.; 'A New Measure of Process Capability: $C_{pm}$,' Journal of Quality Technology, 20(3) : 162-175, 1988 https://doi.org/10.1080/00224065.1988.11979102
  6. Johnson, T.; 'The Relationship of Cpm to Squared Error Loss,' Journal of Quality Technology, 24(4) : 211-215, 1992 https://doi.org/10.1080/00224065.1992.11979402
  7. Juran, J. M.; Quality Control handbook, 3rd Edition, Mcgraw-Hill, Inc., New York, 1974
  8. Kane, V. E.; 'Process Capability Indices,' Journal of Quality Technology, 18(1) : 41-52, 1986 https://doi.org/10.1080/00224065.1986.11978984
  9. Spiring, F. A.; 'The Reflected Normal Loss Function,' Canadian Journal of Statistics, 21 : 321-330, 1993 https://doi.org/10.2307/3315758
  10. Shahriari, H., Hubele, N. F., and Lawrence, F. P.; 'A Multivariate Process Capability Vector,' Proceedings of the 4th Industrial Engineering Research Conference, Nashvill, TN, 303-308, 1995