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A new computation method for signature: Markov process method

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  • He Yi
  • Lirong Cui

Abstract

System signature is a crucial measure in the description and comparison of system structures in the field of reliability, and it does not depend on the component distributions under the assumption that all components are independent and identically distributed. A Markov process method is proposed to compute signatures for general coherent systems in this paper, which is more efficient for the computation of the system signature. As applications of the method, signature formulas of consecutive‐k‐out‐of‐n: F systems and related consecutive‐type systems are investigated, including both the linear and circular ones. Particularly, the related signature formulas for consecutive‐type systems with sparse d are derived for the first time. Illustrative examples are presented for methane reformer furnace systems.

Suggested Citation

  • He Yi & Lirong Cui, 2018. "A new computation method for signature: Markov process method," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 410-426, August.
    • Handle: RePEc:wly:navres:v:65:y:2018:i:5:p:410-426
    DOI: 10.1002/nav.21811
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    References listed on IDEAS

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    2. Gaofeng Da & Maochao Xu & Ping Shing Chan, 2018. "An efficient algorithm for computing the signatures of systems with exchangeable components and applications," IISE Transactions, Taylor & Francis Journals, vol. 50(7), pages 584-595, July.
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    8. Da, Gaofeng & Zheng, Ben & Hu, Taizhong, 2012. "On computing signatures of coherent systems," Journal of Multivariate Analysis, Elsevier, vol. 103(1), pages 142-150, January.
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    Cited by:

    1. Yi, He & Cui, Lirong & Balakrishnan, Narayanaswamy, 2021. "Computation of survival signatures for multi-state consecutive-k systems," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    2. Xiaoyue Wang & Jingxuan Wang & Ru Ning & Xi Chen, 2023. "Joint Optimization of Maintenance and Spare Parts Inventory Strategies for Emergency Engineering Equipment Considering Demand Priorities," Mathematics, MDPI, vol. 11(17), pages 1-18, August.
    3. Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2023. "Reliability of three-dimensional consecutive k-type systems," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    4. He Yi & Narayanaswamy Balakrishnan & Lirong Cui, 2021. "Comparisons of Multi-State Systems with Binary Components of Different Sizes," Methodology and Computing in Applied Probability, Springer, vol. 23(4), pages 1309-1321, December.
    5. Zhang, Ning & Qi, Faqun & Zhang, Chengjie & Zhou, Hongming, 2022. "Joint optimization of condition-based maintenance policy and buffer capacity for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    6. He Yi & Narayanaswamy Balakrishnan & Lirong Cui, 2022. "On Dependent Multi-State Semi-Coherent Systems Based on Multi-State Joint Signature," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1717-1734, September.
    7. Jia, Xujie & Shen, Jingyuan & Xu, Fanqi & Ma, Ruihong & Song, Xueying, 2019. "Modular decomposition signature for systems with sequential failure effect," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 435-444.

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