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A review and interpretations of process capability indices

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  • K. Palmer
  • K.-L. Tsui

Abstract

Practitioners of industrial statistics are generally familiar with the common C p and C pk process capability indices. However, many additional indices have been proposed, and knowledge of these is less widespread. More importantly, information regarding the indices' comparative behavior is lacking. This paper compares the behavior of various indices under shifting process conditions. Both useful and misleading characteristics of the indices are identified. We begin with a short history of process capability measures. Several process capability indices are reviewed. Application areas for capability indices are also summarized. The indices are grouped according to the loss functions which are used in their interpretation. Characteristics of the various indices are discussed. Finally, recommendations are made for selection of indices at differing levels of process performance. Copyright Kluwer Academic Publishers 1999

Suggested Citation

  • K. Palmer & K.-L. Tsui, 1999. "A review and interpretations of process capability indices," Annals of Operations Research, Springer, vol. 87(0), pages 31-47, April.
    • Handle: RePEc:spr:annopr:v:87:y:1999:i:0:p:31-47:10.1023/a:1018993221702
    DOI: 10.1023/A:1018993221702
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    Cited by:

    1. Marta Benková & Dagmar Bednárová & Gabriela Bogdanovská, 2024. "Process Capability Evaluation Using Capability Indices as a Part of Statistical Process Control," Mathematics, MDPI, vol. 12(11), pages 1-29, May.
    2. Tzong-Ru Tsai & Hua Xin & Ya-Yen Fan & Yuhlong Lio, 2022. "Bias-Corrected Maximum Likelihood Estimation and Bayesian Inference for the Process Performance Index Using Inverse Gaussian Distribution," Stats, MDPI, vol. 5(4), pages 1-18, November.
    3. Amy Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    4. Pearn, W.L. & Hsu, Ya-Chen, 2007. "Optimal tool replacement for processes with low fraction defective," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1116-1129, August.
    5. Pearn, W.L. & Wu, Chien-Wei, 2007. "An effective decision making method for product acceptance," Omega, Elsevier, vol. 35(1), pages 12-21, February.
    6. Amy H. I. Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    7. Wu, Chien-Wei & Pearn, W.L. & Kotz, Samuel, 2009. "An overview of theory and practice on process capability indices for quality assurance," International Journal of Production Economics, Elsevier, vol. 117(2), pages 338-359, February.
    8. Mohammed Z. Anis, 2008. "Basic Process Capability Indices: An Expository Review," International Statistical Review, International Statistical Institute, vol. 76(3), pages 347-367, December.
    9. W L Pearn & Y-C Hsu & J-J Horng Shiau, 2007. "Tool replacement policy for one-sided processes with low fraction defective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(8), pages 1075-1083, August.
    10. Kun-Tzu Yu, 2013. "A measurement model for service capability from the customer perspective," Service Business, Springer;Pan-Pacific Business Association, vol. 7(4), pages 563-582, December.

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