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Multivariate Process Capability, Process Validation and Risk Analytics Based on Product Characteristic Sets: Case Study Piston Rod

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 637))

Abstract

Manufacturing processes of technically complex products require highly standardised methods to fulfil technical and customer specifications. To accomplish the demanded specifications, various methods, which can be applied at different phases of the product life cycle, have been developed. One of these methods, within the manufacturing phase, is the process capability index (PCI). The determination of the PCI allows the visualisation of risk with one indicator and failure probability with regard to a manufacturing process. State-of-the-art is the univariate calculation of the PCI based on the analysis of one product characteristic. This paper outlines different approaches for the determination of multidimensional process capability indices (MPCI) based on a product characteristic set including symmetric and asymmetric product characteristic distribution models. The goal of the explained methods is the analysis of risks, the determination of risk indicator MPCI and failure probabilities with regard to complex manufacturing processes.

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References

  1. DIN ISO 3534-2:2013-12: Statistics - Vocabulary and Symbols - Part 2: Applied Statistics (ISO 3534-2:2006)

    Google Scholar 

  2. Goethals, P.L., Cho Byung, R.: The development of a target-focused process capability index with multiple characteristics. Qual. Reliab. Eng. Int. 27(3), 297–311 (2011). doi:10.1002/qre.1122

    Article  Google Scholar 

  3. Tano, I., Vännman, K.: Comparing confidence intervals for multivariate process capability indices. Qual. Reliab. Eng. Int. 28, 481–495 (2011). doi:10.1002/qre.1250

    Article  Google Scholar 

  4. Bracke, S.: Prozessfähigkeit bei der Herstellung komplexer technischer Produkte. Statistische Mess- und Prüfanalyse. Springer, Berlin (2016). (in German language)

    Book  Google Scholar 

  5. Sachs, L.: Applied Statistics. Springer, Berlin (2002)

    MATH  Google Scholar 

  6. Dietrich, E., Schulze, A.: Statistical Procedures for Machine and Process Qualification. Munich Hanser Publications, Cincinnati (2010)

    Google Scholar 

  7. Pfeifer, T.: Quality Management. Hanser, München (2002)

    Book  Google Scholar 

  8. Härdle, W., Simar, L.: Applied Multivariate Statistical Analysis. Springer, Heidelberg (2015)

    Book  MATH  Google Scholar 

  9. Kotz, S., Balakrishnan, N., Johnson, N.: Continuous Multivariate Distributions. Wiley, Hoboken (2005)

    MATH  Google Scholar 

  10. Rinne, H.: The Weibull Distribution. CRC Press, Boca Raton (2009)

    MATH  Google Scholar 

  11. Genz, A., Bretz, F.: Computation of Multivariate Normal and Probabilities. Springer, Berlin (2009)

    Book  MATH  Google Scholar 

  12. Rizzo, M.L.: Statistical Computing with R. Computer Science and Data Analysis Series. Chapman and Hall/CRC, Boca Raton (2008)

    Google Scholar 

  13. Hamerle, A., Fahrmeir, L.: Multivariate statistische Verfahren. Walter de Gruyter, Berlin (1984)

    MATH  Google Scholar 

  14. Bracke, S., Backes, B.: Multidimensional failure probabilities based on symmetric and asymmetric product characteristic distribution models within high precision manufacturing processes. In: Proceedings CIE45, 28th–30th October 2015, Metz, France (2015)

    Google Scholar 

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Correspondence to Bianca Backes .

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Bracke, S., Backes, B. (2018). Multivariate Process Capability, Process Validation and Risk Analytics Based on Product Characteristic Sets: Case Study Piston Rod. In: Burduk, A., Mazurkiewicz, D. (eds) Intelligent Systems in Production Engineering and Maintenance – ISPEM 2017. ISPEM 2017. Advances in Intelligent Systems and Computing, vol 637. Springer, Cham. https://doi.org/10.1007/978-3-319-64465-3_32

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  • DOI: https://doi.org/10.1007/978-3-319-64465-3_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64464-6

  • Online ISBN: 978-3-319-64465-3

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