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Availability Analysis of a Repairable Series-Parallel System with Redundant Dependency

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Abstract

This paper investigates the steady-state availability of a repairable series-parallel system with redundant dependency. The different types of components and repairmen are taken into account, the failure rate of the operating component varies as the number of other failed components and the repair rate of the failed component is constant in each parallel redundant subsystem. To quantify the redundant dependency, a modified failure dependence function is introduced to determine the failure rate of the components in each subsystem. Markov theory and matrix analysis method are used to get the steady-state probability vector of each subsystem and the steady-state availability of the entire system. A numerical example is presented to illustrate the obtained results and to analyze the effect of redundant dependency class on the system availability.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, China

    Linmin Hu, Dequan Yue & Zhanyou Ma

  2. School of Economics and Management of Science, Yanshan University, Qinhuangdao, 066004, China

    Dequan Yue

Authors
  1. Linmin Hu
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  2. Dequan Yue
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  3. Zhanyou Ma
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Corresponding author

Correspondence to Dequan Yue.

Additional information

This research work was supported in part by the Natural Science Foundation of Hebei Province under Grant No. A2018203088, the National Natural Science Foundation of China under Grant No. 11601469, and the Science Research Project of Education Department of Hebei Province under Grant No. ZD2017079.

This paper was recommended for publication by Editor LI Gang.

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Hu, L., Yue, D. & Ma, Z. Availability Analysis of a Repairable Series-Parallel System with Redundant Dependency. J Syst Sci Complex 33, 446–460 (2020). https://doi.org/10.1007/s11424-019-8039-x

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  • DOI: https://doi.org/10.1007/s11424-019-8039-x

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