<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation of the reliability model, Bayesian estimation of Weibull parameters and the model’s goodness-of-fit are evoked. The advantages of this modelling approach are presented in the case of systems with an unknown reliability structure, those with a common cause of failures and redundant ones. Finally, we raise the issue of the use of BNs in the fault diagnosis area.</p></abstract>

In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation of the reliability model, Bayesian estimation of Weibull parameters and the model’s goodness-of-fit are evoked. The advantages of this modelling approach are presented in the case of systems with an unknown reliability structure, those with a common cause of failures and redundant ones. Finally, we raise the issue of the use of BNs in the fault diagnosis area.

Bayesian reliability models of Weibull systems: State of the art

LACS National School of Engineering of Tunis, BP 37, 1002 Belvedere, Tunisia

LAGIS, Polytech’Lille University of Lille Nord de France, 59650 Villeneuve d’Ascq, France

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Bayesian reliability models of Weibull systems: State of the art"}

In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not...

Bayesian reliability models of Weibull systems: State of the art

Published Online: Sep 28, 2012

Page range: 585 - 600

DOI: https://doi.org/10.2478/v10006-012-0045-2

Keywords
hierarchical modeling, reliability, Weibull, Bayesian networks, fault diagnosis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Bayesian reliability models of Weibull systems: State of the art

Published Online: Sep 28, 2012

Page range: 585 - 600

DOI: https://doi.org/10.2478/v10006-012-0045-2

Keywordshierarchical modeling, reliability, Weibull, Bayesian networks, fault diagnosis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
hierarchical modeling, reliability, Weibull, Bayesian networks, fault diagnosis