Classical and Bayesian estimation of stress-strength reliability of a component having multiple states

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Externe Organisationen

  • Vidya Academy of Science and Technology
  • National Institute of Technology Calicut
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Details

OriginalspracheEnglisch
Seiten (von - bis)528-535
Seitenumfang8
FachzeitschriftInternational Journal of Quality and Reliability Management
Jahrgang38
Ausgabenummer2
Frühes Online-Datum22 Juni 2020
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

Zitieren

Classical and Bayesian estimation of stress-strength reliability of a component having multiple states. / K C, Siju; Kumar, Mahesh; Beer, Michael.
in: International Journal of Quality and Reliability Management, Jahrgang 38, Nr. 2, 03.02.2021, S. 528-535.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

K C, S, Kumar, M & Beer, M 2021, 'Classical and Bayesian estimation of stress-strength reliability of a component having multiple states', International Journal of Quality and Reliability Management, Jg. 38, Nr. 2, S. 528-535. https://doi.org/10.1108/IJQRM-01-2020-0009
K C, S., Kumar, M., & Beer, M. (2021). Classical and Bayesian estimation of stress-strength reliability of a component having multiple states. International Journal of Quality and Reliability Management, 38(2), 528-535. https://doi.org/10.1108/IJQRM-01-2020-0009
K C S, Kumar M, Beer M. Classical and Bayesian estimation of stress-strength reliability of a component having multiple states. International Journal of Quality and Reliability Management. 2021 Feb 3;38(2):528-535. Epub 2020 Jun 22. doi: 10.1108/IJQRM-01-2020-0009
K C, Siju ; Kumar, Mahesh ; Beer, Michael. / Classical and Bayesian estimation of stress-strength reliability of a component having multiple states. in: International Journal of Quality and Reliability Management. 2021 ; Jahrgang 38, Nr. 2. S. 528-535.
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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

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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

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KW - Stress-strength reliability

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