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System Reliability Analysis Method Based on Fuzzy Probability

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Abstract

Conventional methods for analyzing system reliability involve the use of unit reliability and system composition. However, these methods have limitation on considering the type of failure distribution that exists in unit of system, resulting in inaccurate evaluation of system reliability as the bathtub curve. The process in which unit and system go from a normal working state to a failure state can be described as a fuzzy process. The fuzzy probability of unit reliability is defined in formula, and its curve is drawn based on bathtub curve, reliability function curve and fuzzy probability. For two systems that have the same system reliability, conventional methods also fail to take into account the effect of differences in unit reliability on system reliability. In this study, we introduce a novel method to analyze system reliability that based on fuzzy probability. This method is an assumption that unit reliability is a fuzzy probability-based event, and then these concepts of system failure probability and integrated system reliability are proposed. The system failure probability is a characteristic quantity used to measure the effect of different unit in system reliability. The integrated system reliability is a characteristic quantity that evaluated the comprehensive system reliability. These proposed concepts are applied in the reliability analysis of series system, parallel system and compound system. These results verify the effectiveness of the proposed method by the application and comparison in these examples.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 51377044), National Sci-Tech Support Plan (No. 2015BAA09B01), Hebei Province Higher School Science and Technology Research Youth Fund (No. QN2015102), and Science and Technology Support Program of Hebei Province (No. 15212117).

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Authors and Affiliations

  1. School of Electrical Engineering, Hebei University of Technology, 8 Guangrong Rd., Hongqiao District, Tianjin City, 300310, China

    Zhi-Gang Li, Jun-Gang Zhou & Bo-Ying Liu

  2. Shandong Institute for Product Quality Inspection, 31000 Jingshidong Rd., Licheng District, Jinan City, 250102, China

    Jun-Gang Zhou

Authors
  1. Zhi-Gang Li
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Correspondence to Zhi-Gang Li.

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Li, ZG., Zhou, JG. & Liu, BY. System Reliability Analysis Method Based on Fuzzy Probability. Int. J. Fuzzy Syst. 19, 1759–1767 (2017). https://doi.org/10.1007/s40815-017-0363-5

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  • DOI: https://doi.org/10.1007/s40815-017-0363-5

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