Abstract
Based on the recommended maximum value of the incapability index, previous research has provided a traditional procedure to evaluating actual performance of a production process. In this paper, an alternative procedure based on the Bayesian point of view is implemented for normally distributed processes. Useful minimum values required to ensure the posterior probability reaching a certain desirable level based on the incapability index are tabulated. A Bayesian procedure for judging whether the process satisfies the preset quality reliability requirement is also proposed for practitioners to use.
Similar content being viewed by others
References
Bernardo JM, Smith AFM (1993) Bayesian theory. Wiley, New York
Boyles RA (1991) The Taguchi capability index. J Qual Technol 23:17–26
Chan LK, Cheng SW, Spiring FA (1988) A new measure of process capability: Cpm. J Qual Technol 20:162–175
Chou YM, Owen DB (1989) On the distributions of the estimated process capability indices. Commun Stat-Theory Methods 18:4549–4560
Greenwich M, Jahr-Schaffrath BL (1995) A process incapability index. Int J Qual Reliab Manage 12:58–71
Kane VE (1986) Process capability indices. J Qual Technol 18:41–52
Kotz S, Pearn WL, Johnson NL (1993) Some process capability indices are more reliable than one might think. Appl Stat 42:55–62
Lin GH (2002) Process incapability index for contaminated normal processes. Adv Appl Stat 2:119–130
Lin GH (2004) Upper limits of the estimated incapability index: a practical application on the reliability assessment of printed circuit boards. Int J Adv Manuf Technol, in press
Pearn WL, Kotz S, Johnson NL (1992) Distributional and inferential properties of process capability indices. J Qual Technol 24:216–231
Pearn WL, Lin GH (2001) On the reliability of the estimated process incapability index. Qual Reliab Eng Int 17:279–290
Pearn WL, Lin GH (2002) Estimated incapability index: reliability and decision making with sample information. Qual Reliab Eng Int 18:141–147
Shiau JH, Chiang CT, Hung HN (1999) A Bayesian procedure for process capability assessment. Qual Reliab Eng Int 15:369–378
Welch BL, Peers HW (1963) On formula for confidence points based on integrals of weighted likelihoods. J R Stat Soc B 25:318–329
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, G. Process reliability assessment with a Bayesian approach. Int J Adv Manuf Technol 25, 392–395 (2005). https://doi.org/10.1007/s00170-003-1807-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-003-1807-7