Copula Reliability Calculation Model for K/N (F) Systems Considering Failure Correlation

Abstract:

The failure correlation among components is the general characteristic in the reliability engineering. Copula theories are used to describe the correlation among the lifetimes of components, and to build the models to calculate the reliability of typical non-repairable and repairable k/n (F) systems involving failure correlation. In this presented model, the concept of one step state transition matrix in minimal time difference tt+t is given for the repairable systems, and common cause failure, the general continuous distributions for working times and repair times are all took account. Finally, the estimation methods of the correlation scalar parameter and selection criterion for copulas are also given.

• Periodical: Applied Mechanics and Materials (Volumes 446-447)
• Pages: 1045-1051
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.446-447.1045
• Online since: November 2013
• Authors: Jia Yin Tang, Ping He, Shi Juan Cheng
• Keywords: Copula, Correlation, K/N (F) Systems, Reliability Calculation, Repairable Systems

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