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Application of LSTM based on the BAT-MCS for binary-state network approximated time-dependent reliability problems

Author

Listed:
  • Yeh, Wei-Chang
  • Du, Chia-Ming
  • Tan, Shi-Yi
  • Forghani-elahabad, Majid

Abstract

Reliability is an important tool for evaluating the performance of modern networks. Currently, it is NP-hard and #P-hard to calculate the exact reliability of a binary-state network when the reliability of each component is assumed to be fixed. However, this assumption is unrealistic because the reliability of each component always varies with time. To meet this practical requirement, we propose a new algorithm called the binary-addition-tree algorithm and Monte Carlo simulation based Long Short-Term Memory (LSTM-BAT-MCS), based on long short-term memory (LSTM), the Monte Carlo simulation (MCS), and the binary-addition-tree algorithm (BAT). The superiority of the proposed LSTM-BAT-MCS was demonstrated by experimental results of three benchmark networks with at most 10−4 mean square error.

Suggested Citation

  • Yeh, Wei-Chang & Du, Chia-Ming & Tan, Shi-Yi & Forghani-elahabad, Majid, 2023. "Application of LSTM based on the BAT-MCS for binary-state network approximated time-dependent reliability problems," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
  • Handle: RePEc:eee:reensy:v:235:y:2023:i:c:s0951832022005695
    DOI: 10.1016/j.ress.2022.108954
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    References listed on IDEAS

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    1. Yeh, Wei-Chang & Tan, Shi-Yi & Zhu, Wenbo & Huang, Chia-Ling & Yang, Guang-yi, 2022. "Novel binary addition tree algorithm (BAT) for calculating the direct lower-bound of the highly reliable binary-state network reliability," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    2. Yeh, Wei-Chang & Hao, Zhifeng & Forghani-elahabad, Majid & Wang, Gai-Ge & Lin, Yih-Lon, 2021. "Novel Binary-Addition Tree Algorithm for Reliability Evaluation of Acyclic Multistate Information Networks," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    3. Roubos, Alfred A. & Allaix, Diego L. & Schweckendiek, Timo & Steenbergen, Raphael D.J.M. & Jonkman, Sebastiaan N., 2020. "Time-dependent reliability analysis of service-proven quay walls subject to corrosion-induced degradation," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    4. Yeh, Wei-Chang, 2006. "A simple algorithm to search for all MCs in networks," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1694-1705, November.
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    14. Yeh, Wei-Chang & Bae, Changseok & Huang, Chia-Ling, 2015. "A new cut-based algorithm for the multi-state flow network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 1-7.
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