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A Bayesian approach for measuring process performance with asymmetric tolerances

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  • Chien-Wei Wu

Abstract

Process capability indices have been widely investigated as a means of summarising process performance relative to a set of specification limits. However, most research works in the literature were restricted to handle processes with symmetric tolerances. Recently, a generalised capability index has been proposed to measure process performance with asymmetric tolerances. Consequently, in this paper we consider the problem of estimating and testing the generalised index for processes with asymmetric tolerances based on Bayesian approach. The posterior probability p for which the process with an asymmetric tolerance under investigation is capable, is derived. The credibility interval, a Bayesian analogue of the classical lower confidence interval, can also be obtained. Practitioners can use the obtained results to perform capability testing and determine whether their manufacturing processes are capable of reproducing products satisfying the preset process capability requirement whenever the manufacturing tolerance is asymmetric or symmetric. [Received 20 July 2010; Revised 17 December 2010; Accepted 22 December 2010]

Suggested Citation

  • Chien-Wei Wu, 2012. "A Bayesian approach for measuring process performance with asymmetric tolerances," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(3), pages 347-368.
  • Handle: RePEc:ids:eujine:v:6:y:2012:i:3:p:347-368
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    Cited by:

    1. Hsi-Tien Chen & Kuen-Suan Chen, 2016. "Assessing the assembly quality of a T-bar ceiling suspension by using an advanced multi-process performance analysis chart with asymmetric tolerance," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 264-283.

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