Skip to main content
SpringerLink
Log in

A modified multivariate process capability vector

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Process capability indices have been widely used in industries to assess the performance of the manufacturing processes. Various different multivariate capability indices have been introduced. In this paper, a new multivariate capability vector is proposed under the assumption of multivariate normality, to assess the production capability of the processes that involve multiple product quality characteristics. Also, we investigate the relation between this index and process centering, as well as the relation between this index and the lower and upper bounds of percentage of non-conforming items manufactured. Two real manufacturing data set are used to demonstrate the effectiveness of the proposed index.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Castagliola P, Castellanos J-VG (2005) Capability indices dedicated to the two quality characteristics case. J Qual Technol Quantitative Management 2(2):201–220

    Google Scholar 

  2. Chan LK, Cheng SW, Spring FA (1991) A multivariate measure of process capability. J Model Simul 11(1):1–6

    Google Scholar 

  3. Chen H (1994) A multivariate process capability index over a rectangular solid tolerance zone. Statistica Sinica 4:749–758

    MATH  Google Scholar 

  4. Chen KS, Pearn WL (2001) Capability indices for processes with asymmetric tolerances. J Chin Inst Eng 24(5):559–568. doi:10.1080/02533839.2001.9670652

    Article  Google Scholar 

  5. Ciupke K (2015) Multivariate process capability vector based on one-sided model. Qual Reliab Eng Int 31(2):313–327. doi:10.1002/qre.1590

    Article  Google Scholar 

  6. Goethals PL, Cho BR (2011) The development of a target-focused process capability index with multiple characteristics. Qual Reliab Eng Int 27(3):297–311. doi:10.1002/qre.1120

    Article  Google Scholar 

  7. Hosseinifard SZ, Abbasi B, Ahmad S, Abdollahian M (2009) A transformation technique to estimate the process capability index for non-normal processes. Int J Adv Manuf Technol 40:512–517

    Article  Google Scholar 

  8. Jyh-Jen HS, Chia-Ling Y, Pearn WL, Wan-Tsz L (2012) Yield-related process capability indices for processes of multiple quality characteristics. Qual Reliab Eng Int 29:487–507. doi:10.1002/qre.1397

    Google Scholar 

  9. Hubele HF, Shahriari H, Cheng CS (1991) A bivariate process capability vector. In statistical process control in manufacturing. In: Keats J B, Montgomery D C (eds). Marcel Dekker, New York, p 299310

  10. Jackson JE (1956) Quality control methods for two related variables. Industrial Quality Control 12:4–8

    Google Scholar 

  11. Kanichukattu JK, Luke JA (2013) Comparison between two process capability indices using generalized confidence intervals. Int J Adv Manuf Technol 69(9-12):2793–2798. doi:10.1007/s00170-013-5244-y

    Article  Google Scholar 

  12. Pan J-N, Lee C-Y (2010) New capability indices for evaluating the performance of multivariate manufacturing processes. Qual Reliab Eng Int 26(1):3–15. doi:10.1002/qre.1024

    Article  Google Scholar 

  13. Pan J-N, Li C-I (2014) New capability indices for measuring the performance of a multidimensional machining process. Expert Syst Appl 41(5):2409–2414. doi:10.1016/j.eswa.2013.09.039

    Article  MathSciNet  Google Scholar 

  14. Pan J-N, Wendy K-CH (2015) Developing new multivariate process capability indices for autocorrelated data. Qual Reliab Eng Int 31(3):431–444. doi:10.1002/qre.1603.

    Article  Google Scholar 

  15. Pearn WL, Kotz S, Johnson NL (1992) Distributional and inferential properties of process capability indices. J Qual Technol 24(4):216–231

    Google Scholar 

  16. Pearn WL, Kotz S (2006) Encyclopedia and handbook of process capability indices. Series on quality, reliability and engineering statistics, vol 12. World Scientific Publishing, Singapore

    Google Scholar 

  17. Shahriari H, Abdollahzadeh M (2009) A new multivariate process capability vector. Qual Eng 21(3):290–299. doi:10.1080/08982110902873605

    Article  Google Scholar 

  18. Shahriari H, Lawrence FP (1995) A multivariate process capability vector. In: 4th Industrial Engineering Research Conference, pp 304–309

  19. Miroslav S (2014) Multivariate process capability indices: a directional approach. Communications in Statistics Theory and Methods 43:1949–1955. doi:10.1080/03610926.2012.677926

    Article  MathSciNet  MATH  Google Scholar 

  20. Sultan T (1986) An acceptance chart for raw material of two correlated properties. Qual Assur 12(3):3

    Google Scholar 

  21. Taam W, Subbaiah P, Liddy JW (1993) A note on multivariate capability indices. J Appl Stat 20:339–351. doi:10.1080/02664769300000035

    Article  Google Scholar 

  22. Tano I, Vannman K (2013) A multivariate process capability index based on the first principal component only. Qual Reliab Eng Int 29(7):987–1003. doi:10.1002/qre.1451

    Article  Google Scholar 

  23. Vannman K (1995) A unified approach to capability indices. Statistica Sinica, No. 5, pp 805–820

  24. Wang FK, Hubele NF, Lawrence FP, Miskulin JD, Shahriari H (2000) Comparison of three multivariate process capability indices. J Qual Technol 32(3):263–275

    Google Scholar 

  25. Wang SY, AB (2010) A spatial multivariate process capability index. In: IEEM2010 -IEEE International Conference on Industrial Engineering and Engineering Management, pp 1443–1445

  26. Min Z, Alan WG, Shuguang HE, Zhen HE (2014) Modified multivariate process capability index using principal component analysis. Chin J Mechanical Engineering 27(2):249–259. doi:10.3901/CJME.2014.02.249

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

    Z. Abbasi Ganji & B. Sadeghpour Gildeh

Authors
  1. Z. Abbasi Ganji
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Sadeghpour Gildeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Sadeghpour Gildeh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ganji, Z.A., Gildeh, B.S. A modified multivariate process capability vector. Int J Adv Manuf Technol 83, 1221–1229 (2016). https://doi.org/10.1007/s00170-015-7654-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-015-7654-5

Keywords

Search

Navigation