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Copula-Based Matrix System Reliability for Reliability Assessment of General Systems
This paper proposes a novel system reliability analysis method as an alternative to matrix-based system reliability (MSR). Traditional MSR requires the fitting of a Dunnett-Sobel (DS) class correlation matrix to the general correlation coefficient matrix to account for the correlation between the components in the presence of a common source of hazard. This issue significantly limits the applicability of the MSR, especially when a large number of common source random variables (CSRVs) are involved. The novel method proposed in this research, called copula-based matrix system reliability (CMSR) eliminates the need for DS class correlation fitting, which results in a faster, generally applicable, and more accurate MSR. The efficiency and accuracy of the proposed method are evaluated through several work examples.
Copula-Based Matrix System Reliability for Reliability Assessment of General Systems
This paper proposes a novel system reliability analysis method as an alternative to matrix-based system reliability (MSR). Traditional MSR requires the fitting of a Dunnett-Sobel (DS) class correlation matrix to the general correlation coefficient matrix to account for the correlation between the components in the presence of a common source of hazard. This issue significantly limits the applicability of the MSR, especially when a large number of common source random variables (CSRVs) are involved. The novel method proposed in this research, called copula-based matrix system reliability (CMSR) eliminates the need for DS class correlation fitting, which results in a faster, generally applicable, and more accurate MSR. The efficiency and accuracy of the proposed method are evaluated through several work examples.
Copula-Based Matrix System Reliability for Reliability Assessment of General Systems
Aryai, Vahid (author) / Mahmoodian, Mojtaba (author) / Baji, Hassan (author)
2021-05-10
Article (Journal)
Electronic Resource
Unknown
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