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Belief reliability analysis of competing for failure systems with bi-uncertain variables

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Abstract

In this paper, an uncertain competing failure degradation model is proposed, in which the natural degradation process is described by an uncertain process, the time interval of shocks arrival and the size of the shocks have independent and nonidentical uncertainty distributions, respectively. The parameters in the distributions are uncertain variables. The belief reliability function and the mean time to failure of the system under three different shock models are studied according to uncertainty theory, and Micro-Electro-Mechanical System as an example is used to explain the developed models.

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Acknowledgements

This research is supported by the National Natural Science of China under Grants no. 71601101, Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2020L0463, 2019L0738).

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Authors and Affiliations

  1. College of Mathematics and Statistics Science, Shanxi Datong University, Datong, 037009, Shanxi, China

    Haiyan Shi, Zhiqiang Zhang, Baoliang Liu & Yanqing Wen

  2. College of Physics and Electronics Science, Shanxi Datong University, Datong, 037009, Shanxi, China

    Chun Wei

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  1. Haiyan Shi
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  2. Chun Wei
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  3. Zhiqiang Zhang
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  4. Baoliang Liu
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Correspondence to Baoliang Liu.

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Shi, H., Wei, C., Zhang, Z. et al. Belief reliability analysis of competing for failure systems with bi-uncertain variables. J Ambient Intell Human Comput 12, 10651–10665 (2021). https://doi.org/10.1007/s12652-020-02878-z

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  • DOI: https://doi.org/10.1007/s12652-020-02878-z

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