Details
| Original language | English |
|---|---|
| Pages (from-to) | 528-535 |
| Number of pages | 8 |
| Journal | International Journal of Quality and Reliability Management |
| Volume | 38 |
| Issue number | 2 |
| Early online date | 22 Jun 2020 |
| Publication status | Published - 3 Feb 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
- Bayesian estimation, Gibbs sampling, Maximum likelihood estimation, Multi-state, Stress-strength reliability
ASJC Scopus subject areas
- Business, Management and Accounting(all)
- Business, Management and Accounting(all)
- Strategy and Management
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In: International Journal of Quality and Reliability Management, Vol. 38, No. 2, 03.02.2021, p. 528-535.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Classical and Bayesian estimation of stress-strength reliability of a component having multiple states
AU - K C, Siju
AU - Kumar, Mahesh
AU - Beer, Michael
N1 - Funding information: The authors wish to express their sincere thanks to the editor of this journal for his careful and reading and timely suggestions.
PY - 2021/2/3
Y1 - 2021/2/3
N2 - 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.
AB - 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.
KW - Bayesian estimation
KW - Gibbs sampling
KW - Maximum likelihood estimation
KW - Multi-state
KW - Stress-strength reliability
UR - http://www.scopus.com/inward/record.url?scp=85086871827&partnerID=8YFLogxK
U2 - 10.1108/IJQRM-01-2020-0009
DO - 10.1108/IJQRM-01-2020-0009
M3 - Article
AN - SCOPUS:85086871827
VL - 38
SP - 528
EP - 535
JO - International Journal of Quality and Reliability Management
JF - International Journal of Quality and Reliability Management
SN - 0265-671X
IS - 2
ER -