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Determination of Bayesian reliability sampling plans based on exponential-inverted gamma distribution

Loganathan Appaia (Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India)
Padmanaban Muthu Krishnan (Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India)
Sankaran Kalaiselvi (Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 26 August 2014

217

Abstract

Purpose

The purpose of this paper is the determination of reliability sampling plans in the Bayesian approach assuming that the lifetime distribution is exponential.

Design/methodology/approach

Sampling plans are used in manufacturing companies as a tool for carrying out sampling inspections, in order to make decisions about the disposition of many finished products. If the quality characteristic is considered as the lifetime of the products, the plan is known as a reliability sampling plan. In life testing, censoring schemes are adopted in order to save time and cost of life test. The inverted gamma distribution is employed as the natural conjugate prior to the average lifetime of the products. The sampling plans are developed assuming various probability distributions to the lifetime of the products.

Findings

The optimum plans n and c are obtained for some sets of values of (p1, a, p2, ß). The selection of sampling plans is illustrated through numerical examples.

Originality/value

Results obtained in this paper are original and the study has been done for the first time in this regard. Reliability sampling plans are essential for making decisions either to accept or reject based on the inspection of the sample.

Keywords

Acknowledgements

The authors are grateful to the editors and anonymous referees for their valuable suggestions and comments. The first author acknowledges University Grants Commission, New Delhi for carrying out this work under a Major Research Project.

Citation

Appaia, L., Muthu Krishnan, P. and Kalaiselvi, S. (2014), "Determination of Bayesian reliability sampling plans based on exponential-inverted gamma distribution", International Journal of Quality & Reliability Management, Vol. 31 No. 8, pp. 950-962. https://doi.org/10.1108/IJQRM-08-2013-0138

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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