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Reliability Evaluation of Subsystem Based on Exchanged Hypercube

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Computing and Combinatorics (COCOON 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 13025))

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Abstract

As the scale of systems increased, the probability of a single node failure also increasing. Therefore, exploring the reliability of complex systems is crucial to the operation of the network. Few of Scholar focus on the reliability of subsystems of irregular networks. While exchanged hypercube EH(st) was firstly proposed by Loh et al. [9] and it is a irregular network. In this paper, we evaluate the reliability of EH(st) by studying the reliability of subsystems \(EH(s-1,t-1)\). Specifically, we use the PIE (Principle of Inclusion-Exclusion) method to derive the approximate value of the reliability and the upper bound with the intersection of no more than 3 subgraphs \(EH(s-1,t-1)\) under the probability fault model.

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Correspondence to Shuming Zhou .

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Wang, Y., Zhou, S., Yu, Z. (2021). Reliability Evaluation of Subsystem Based on Exchanged Hypercube. In: Chen, CY., Hon, WK., Hung, LJ., Lee, CW. (eds) Computing and Combinatorics. COCOON 2021. Lecture Notes in Computer Science(), vol 13025. Springer, Cham. https://doi.org/10.1007/978-3-030-89543-3_23

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  • DOI: https://doi.org/10.1007/978-3-030-89543-3_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-89542-6

  • Online ISBN: 978-3-030-89543-3

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