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Reliability Analysis of Random Fuzzy Unrepairable Systems

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  • Ying Liu
  • Xiaozhong Li
  • Jianbin Li

Abstract

The lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. Furthermore, the expressions of reliability and mean time to failure (MTTF) are given for the above five random fuzzy unrepairable systems, respectively. Finally, numerical examples are given to show the application in a lighting lamp system and a hi-fi system.

Suggested Citation

  • Ying Liu & Xiaozhong Li & Jianbin Li, 2014. "Reliability Analysis of Random Fuzzy Unrepairable Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-15, June.
    • Handle: RePEc:hin:jnddns:625985
    DOI: 10.1155/2014/625985
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