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Joint reliability of linear consecutive k-type systems with shared components in a zigzag structure

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  • Yi, He
  • Balakrishnan, Narayanaswamy
  • Li, Xiang

Abstract

In this paper, four different types of linear consecutive-k systems with shared components in a zigzag structure—linear consecutive-k-out-of-n: F systems, linear consecutive-k-out-of-n: F systems with sparse d, linear m-consecutive-k-out-of-n: F systems without overlapping, and linear m-consecutive-k-out-of-n: F systems with (at most) p overlapping—are considered. The joint reliability functions of these systems are obtained by using finite Markov chain imbedding approach (FMCIA) in a novel way, which provide more information about performance of the systems than individual reliability functions of them. Some numerical examples are presented to demonstrate the computational process of the developed method, and possible applications and generalizations are also briefly mentioned.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:241:y:2024:i:c:s0951832023005914
    DOI: 10.1016/j.ress.2023.109677
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    References listed on IDEAS

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    1. Coolen-Maturi, Tahani & Coolen, Frank P.A. & Balakrishnan, Narayanaswamy, 2021. "The joint survival signature of coherent systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
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    5. Jingwen Lu & He Yi & Xiang Li & Narayanaswamy Balakrishnan, 2023. "Joint Reliability of Two Consecutive-(1, l) or (2, k)-out-of-(2, n): F Type Systems and Its Application in Smart Street Light Deployment," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-26, March.
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    7. 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.
    8. Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2023. "Reliability of three-dimensional consecutive k-type systems," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    9. 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).
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