Bayesian Methods for Reliability Demonstration Test for Finite Population Using Lot and Sequential Sampling

Title
Bayesian Methods for Reliability Demonstration Test for Finite Population Using Lot and Sequential Sampling
Author
안선응
Keywords
quality level; supply chain; reliability demonstration test; Bayesian approach; conjugacy; beta-binomial distribution; sequential sampling; one-shot devices; finite population
Issue Date
2018-10
Publisher
MDPI AG
Citation
SUSTAINABILITY, v. 10, No. 10, Article no. 3671
Abstract
The work proposed a reliability demonstration test (RDT) process, which can be employed to determine whether a finite population is accepted or rejected. Bayesian and non-Bayesian approaches were compared in the proposed RDT process, as were lot and sequential sampling. One-shot devices, such as bullets, fire extinguishers, and grenades, were used as test targets, with their functioning state expressible as a binary model. A hypergeometric distribution was adopted as the likelihood function for a finite population consisting of binary items. It was demonstrated that a beta-binomial distribution was the conjugate prior of the hypergeometric likelihood function. According to the Bayesian approach, the posterior beta-binomial distribution is used to decide on the acceptance or rejection of the population in the RDT. The proposed method in this work could be used to select item providers in a supply chain, who guarantee a predetermined reliability target and confidence level. Numerical examples show that a Bayesian approach with sequential sampling has the advantage of only requiring a small sample size to determine the acceptance of a finite population.
URI
https://www.mdpi.com/2071-1050/10/10/3671/htmhttp://repository.hanyang.ac.kr/handle/20.500.11754/81424
ISSN
2071-1050
DOI
10.3390/su10103671
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > INDUSTRIAL AND MANAGEMENT ENGINEERING(산업경영공학과) > Articles
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