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Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks

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  • Che, Haiyang
  • Zeng, Shengkui
  • Li, Kehui
  • Guo, Jianbin

Abstract

This paper considers a load-sharing man-machine system with multiple man-machine units (MMUs) subject to machine degradation, human errors, and random shocks. Human errors affect the machine that the person operates in a MMU and contribute to dependent competing failure processes (DCFPs) of unit (DCFPsU): soft and hard failure processes. Random shocks affect all MMUs and contribute to DCFPs of system (DCFPsS): unit soft/hard failure one after another until the system failure and common cause failures. In addition, once a MMU fails, more workloads are shared on surviving MMUs due to load-sharing characteristic, which increase not only machine degradation rates but also human error intensities. We incorporate human errors into reliability analysis besides degradation processes and random shocks and develop an analytical reliability model of load-sharing man-machine system. A Poisson-type human error model considering the effects of workload is proposed first. To model the DCFPsU, DCFPsS, and load-sharing characteristic, conditional distributions of DCFPsU and conditional probability density functions of MMU failures are investigated. A system reliability model is then developed based on total probability formula through analytical derivation. Finally, a load-sharing 2-out-of-3:G lathe system and small-, medium- and large-scale examples are implemented to illustrate the effectiveness of the reliability model.

Suggested Citation

  • Che, Haiyang & Zeng, Shengkui & Li, Kehui & Guo, Jianbin, 2022. "Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    • Handle: RePEc:eee:reensy:v:226:y:2022:i:c:s095183202200312x
    DOI: 10.1016/j.ress.2022.108679
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    Cited by:

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    2. Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    3. Wang, Jian & Gao, Shibin & Yu, Long & Ma, Chaoqun & Zhang, Dongkai & Kou, Lei, 2023. "A data-driven integrated framework for predictive probabilistic risk analytics of overhead contact lines based on dynamic Bayesian network," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
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    5. Jewgeni H. Dshalalow & Ryan T. White, 2022. "Fluctuation Analysis of a Soft-Extreme Shock Reliability Model," Mathematics, MDPI, vol. 10(18), pages 1-33, September.

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