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Joint reliability of linear two-dimensional consecutive k-type systems with shared components

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

Abstract

In this paper, linear two-dimensional consecutive k-type systems with shared components are considered for the first time. This includes the cases of linear connected-(k,r)-out-of-(m,n): F systems, linear connected-(k,r)-or-(r,k)-out-of-(m,n): F systems, linear l-connected-(k,r)-out-of-(m,n): F systems without/with overlapping, and linear l-connected-(k,r)-or-(r,k)-out-of-(m,n): F systems without/with overlapping. Using Kronecker product, finite Markov chain imbedding approach (FMCIA) is applied in a new way to derive the joint reliability functions of these two-dimensional consecutive k-type systems with shared components. Their accuracy and computational efficiency are illustrated with the use of some numerical examples. Finally, some concluding remarks are provided.

Suggested Citation

  • Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2025. "Joint reliability of linear two-dimensional consecutive k-type systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
    • Handle: RePEc:eee:reensy:v:264:y:2025:i:pa:s0951832025003941
    DOI: 10.1016/j.ress.2025.111193
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