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Evaluating failure rate of fault-tolerant multistage interconnection networks using Weibull life distribution

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  • Bistouni, Fathollah
  • Jahanshahi, Mohsen

Abstract

Fault-tolerant multistage interconnection networks (MINs) play a vital role in the performance of multiprocessor systems where reliability evaluation becomes one of the main concerns in analyzing these networks properly. In many cases, the primary objective in system reliability analysis is to compute a failure distribution of the entire system according to that of its components. However, since the problem is known to be NP-hard, in none of the previous efforts, the precise evaluation of the system failure rate has been performed. Therefore, our goal is to investigate this parameter for different fault-tolerant MINs using Weibull life distribution that is one of the most commonly used distributions in reliability. In this paper, four important groups of fault-tolerant MINs will be examined to find the best fault-tolerance techniques in terms of failure rate; (1) Extra-stage MINs, (2) Parallel MINs, (3) Rearrangeable non-blocking MINs, and (4) Replicated MINs. This paper comprehensively analyzes all perspectives of the reliability (terminal, broadcast, and network reliability). Moreover, in this study, all reliability equations are calculated for different network sizes.

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  • Bistouni, Fathollah & Jahanshahi, Mohsen, 2015. "Evaluating failure rate of fault-tolerant multistage interconnection networks using Weibull life distribution," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 128-146.
    • Handle: RePEc:eee:reensy:v:144:y:2015:i:c:p:128-146
    DOI: 10.1016/j.ress.2015.07.023
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    Citations

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    1. Bistouni, Fathollah & Jahanshahi, Mohsen, 2017. "Remove and contraction: A novel method for calculating the reliability of Ethernet ring mesh networks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 362-375.
    2. Park, Jae-Hyun, 2017. "Time-dependent reliability of wireless networks with dependent failures," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 47-61.
    3. Li, Jian & Dueñas-Osorio, Leonardo & Chen, Changkun & Shi, Congling, 2016. "Connectivity reliability and topological controllability of infrastructure networks: A comparative assessment," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 24-33.
    4. Mohsen Jahanshahi & Fathollah Bistouni, 2019. "Reliable networking in Ethernet ring mesh networks using regular topologies," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 72(2), pages 199-220, October.
    5. Fathollah Bistouni & Mohsen Jahanshahi, 2016. "Reliability analysis of multilayer multistage interconnection networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 62(3), pages 529-551, July.
    6. Bistouni, Fathollah & Jahanshahi, Mohsen, 2019. "Reliability-aware ring protection link selection in Ethernet ring mesh networks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    7. Santhosh, T.V. & Gopika, V. & Ghosh, A.K. & Fernandes, B.G., 2018. "An approach for reliability prediction of instrumentation & control cables by artificial neural networks and Weibull theory for probabilistic safety assessment of NPPs," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 31-44.

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