Title: A Bayesian approach for measuring process performance with asymmetric tolerances

Authors: Chien-Wei Wu

Addresses: Department of Industrial Management, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, Taiwan

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]

Keywords: asymmetric tolerances; Bayesian approach; decision making; lower confidence bound; process capability indices; PCI; performance measurement; manufacturing tolerances.

DOI: 10.1504/EJIE.2012.046668

European Journal of Industrial Engineering, 2012 Vol.6 No.3, pp.347 - 368

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 13 Apr 2012 *

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