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

He Yi, Narayanaswamy Balakrishnan and Xiang Li

Reliability Engineering and System Safety, 2025, vol. 264, issue PA

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.

Keywords: Two-dimensional consecutive k-type systems; Shared components; Joint reliability; Finite Markov chain imbedding approach (FMCIA); Kronecker product (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:264:y:2025:i:pa:s0951832025003941

DOI: 10.1016/j.ress.2025.111193

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