Classical and Bayesian estimation of stress-strength reliability of a component having multiple states
International Journal of Quality & Reliability Management
ISSN: 0265-671X
Article publication date: 22 June 2020
Issue publication date: 3 February 2021
Abstract
Purpose
This article presents the multi-state stress-strength reliability computation of a component having three states namely, working, deteriorating and failed state.
Design/methodology/approach
The probabilistic approach is used to obtain the reliability expression by considering the difference between the values of stress and strength of a component, say, for example, the stress (load) and strength of a power generating unit is in terms of megawatt. The range of values taken by the difference variable determines the various states of the component. The method of maximum likelihood and Bayesian estimation is used to obtain the estimators of the parameters and system reliability.
Findings
The maximum likelihood and Bayesian estimates of the reliability approach the actual reliability for increasing sample size.
Originality/value
Obtained a new expression for the multi-state stress-strength reliability of a component and the findings are positively supported by presenting the general trend of estimated values of reliability approaching the actual value of reliability.
Keywords
Acknowledgements
The authors wish to express their sincere thanks to the editor of this journal for his careful and reading and timely suggestions.
Citation
K C, S., Kumar, M. and Beer, M. (2021), "Classical and Bayesian estimation of stress-strength reliability of a component having multiple states", International Journal of Quality & Reliability Management, Vol. 38 No. 2, pp. 528-535. https://doi.org/10.1108/IJQRM-01-2020-0009
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited