Reliability of degrading complex systems with two dependent components per element
Zahra Saberzadeh and
Mostafa Razmkhah
Reliability Engineering and System Safety, 2022, vol. 222, issue C
Abstract:
The reliability of complex systems consisting of n independent elements each having two dependent components is investigated based on degradation data. A copula-based model is used to describe the dependence structure of the components. Considering gamma, Wiener and inverse Gaussian processes for degradation of each component, the reliability of a complex system is derived for some various copula functions. Also, reliability bounds are obtained by assuming that the components are positively associated for special cases of series and parallel systems. When the model parameters are unknown, a two-step method is proposed to derive the maximum likelihood estimators. A simulation study is conducted to evaluate the performance of the estimators. Also, the sensitivity of the system reliability is analyzed using simulation. Finally, the results of the paper are illustrated using two real examples.
Keywords: Bivariate binomial model; Bootstrap confidence interval; Coherent system; Copula function; Maximum likelihood estimation; Stochastic process (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (9)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:222:y:2022:i:c:s0951832022000734
DOI: 10.1016/j.ress.2022.108398
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