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Computation of survival signatures for multi-state consecutive-k systems

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  • Yi, He
  • Cui, Lirong
  • Balakrishnan, Narayanaswamy

Abstract

In this paper, the survival signature is introduced in a matrix form for a multi-state coherent system with multi-state components and then some related properties are discussed. Using the finite Markov chain imbedding approach and the relationship between survival signatures and state distributions, a computational method for survival signatures is proposed for multi-state consecutive type systems. Some illustrative examples are also presented to demonstrate how survival signatures are calculated by this method and as to how they are applied.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:208:y:2021:i:c:s0951832021000028
    DOI: 10.1016/j.ress.2021.107429
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    References listed on IDEAS

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    13. Huang, Xianzhen & Aslett, Louis J.M. & Coolen, Frank P.A., 2019. "Reliability analysis of general phased mission systems with a new survival signature," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 416-422.
    14. 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.
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    18. 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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    Cited by:

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    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. Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2024. "Joint signatures of two or more semi-coherent systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    5. Yin, Juan & Cui, Lirong & Balakrishnan, Narayanaswamy, 2022. "Reliability of consecutive-(k,l)-out-of-n: F systems with shared components under non-homogeneous Markov dependence," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    6. Wang, Shaoxuan & Yao, Yuantao & Ge, Daochuan & Lin, Zhixian & Wu, Jie & Yu, Jie, 2023. "Reliability evaluation of standby redundant systems based on the survival signatures methods," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    7. Shi, Yan & Behrensdorf, Jasper & Zhou, Jiayan & Hu, Yue & Broggi, Matteo & Beer, Michael, 2024. "Network reliability analysis through survival signature and machine learning techniques," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    8. Zhu, Xiaojun & Balakrishnan, N., 2023. "Non-parametric inference based on reliability life-test of non-identical coherent systems with application to warranty time," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    9. Gao, Hongda & Tu, Tengfei & Qiu, Qingan, 2024. "Reliability analysis for a generalized sparse connection multi-state consecutive-k-out-of-n linear system," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    10. Di Maio, Francesco & Pettorossi, Chiara & Zio, Enrico, 2023. "Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    11. Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2024. "Joint reliability of linear consecutive k-type systems with shared components in a zigzag structure," Reliability Engineering and System Safety, Elsevier, vol. 241(C).

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