As a common type system, multistate weighted k-out-of-n system is of great importance in reliability engineering. The components are usually treated as independent from each other. It is 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 the components' weight at the same time. As a result, the present paper provides a method to evaluate the dynamic reliability of multistate weighted k-out-of-n: G system with s-dependent components. The degradation of the components follows a Markov process and the components are nonrepairable. Copula function is used to model the s-dependence of the components. The LZ-transform for a discrete-state continuous-time Markov process is combined, and the explicit expression for the survival function and the mean time to failure (MTTF) of the system is obtained. 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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December 2018
Research-Article
Dynamic Reliability Evaluation of Nonrepairable Multistate Weighted k-Out-of-n System With Dependent Components Based on Copula
Xinchen Zhuang,
Xinchen Zhuang
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: zhuangxinchen@126.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: zhuangxinchen@126.com
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Tianxiang Yu,
Tianxiang Yu
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: tianxiangyu@nwpu.edu.cn
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: tianxiangyu@nwpu.edu.cn
Search for other works by this author on:
Linjie Shen,
Linjie Shen
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: s_linjie@126.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: s_linjie@126.com
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Bozhi Guo
Bozhi Guo
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: 1090519629@qq.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: 1090519629@qq.com
Search for other works by this author on:
Xinchen Zhuang
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: zhuangxinchen@126.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: zhuangxinchen@126.com
Tianxiang Yu
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: tianxiangyu@nwpu.edu.cn
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: tianxiangyu@nwpu.edu.cn
Linjie Shen
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: s_linjie@126.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: s_linjie@126.com
Bozhi Guo
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: 1090519629@qq.com
Northwestern Polytechnical University,
Xi'an Shaanxi 710072, China
e-mail: 1090519629@qq.com
1Corresponding author.
Manuscript received February 21, 2017; final manuscript received January 12, 2018; published online April 18, 2018. Assoc. Editor: Faisal Khan.
ASME J. Risk Uncertainty Part B. Dec 2018, 4(4): 041001 (7 pages)
Published Online: April 18, 2018
Article history
Received:
February 21, 2017
Revised:
January 12, 2018
Citation
Zhuang, X., Yu, T., Shen, L., and Guo, B. (April 18, 2018). "Dynamic Reliability Evaluation of Nonrepairable Multistate Weighted k-Out-of-n System With Dependent Components Based on Copula." ASME. ASME J. Risk Uncertainty Part B. December 2018; 4(4): 041001. https://doi.org/10.1115/1.4039243
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