Dynamic Reliability evaluation of non-repairable multi-state weighted k-out-of-n system with dependent components based on copula

[+] Author and Article Information
Xinchen Zhuang

Northwestern Polytechnical University, Xi'an Shaanxi, 710072, China

Tianxiang Yu

Northwestern Polytechnical University, Xi'an Shaanxi, 710072, China

Linjie Shen

Northwestern Polytechnical University, Xi'an Shaanxi, 710072, China

Bozhi Guo

Northwestern Polytechnical University, Xi'an Shaanxi, 710072, China

1Corresponding author.

ASME doi:10.1115/1.4039243 History: Received February 21, 2017; Revised January 12, 2018


As a common type system, the multi-state weighted k-out-of-n system is of great importance in reliability engineering. The components are usually treated as independent with each other. It's usually not that case in real life and the components are dependent. On the other hand, the performance of the components degrades over time, leading to the change of weight of the components at the same time. As a result, the present paper provides a method to evaluate the dynamic reliability of multi-state weighted k-out-of-n: G system with s-dependent components. The degradation of the components follows a Markov process and the components are non-repairable. The copula function is used to model the s-dependence of the components. Combing the LZ-transform for a discrete-states continuous-time Markov process, the explicit expression for the survival function and the mean time to failure of the system is obtained. The determination of the copula function and the parameter are explicated. A small electricity generating system is studied based on our method in the illustration and detailed comparison result is made for dependent case and independent case. Dynamic reliability with varied levels of electricity generation conforming to the actual situation for this generating system is also calculated.

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