Process reliability assessment with a Bayesian approach

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.