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Proceedings of the Fourth International Forum on Decision Sciences pp 461–476Cite as

Reliability Analysis of Unrepairable Warm Standby Systems Mixed With Randomness and Fuzziness

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Part of the book series: Uncertainty and Operations Research ((UOR))

Abstract

As the manufacturing industry competition intensifies, the manufacturers need more reliable production equipment, especially those key production processes, often need to use redundant configuration. Warm standby is one of the redundant techniques widely used to improve system reliability. But in practice, warm standby systems become more and more complex, and sometimes randomness and fuzziness are merged with each other in one warm standby system. So in this paper, the lifetimes of components in operation and in warm standby are assumed to have random fuzzy exponential distributions. Based on that, two mathematical models of unrepairable warm standby systems consisting of two dissimilar components are established. Moreover, the expressions of reliability and mean time to failure (MTTF) are presented for each unrepairable warm standby systems, respectively. Finally, some numerical examples are presented.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China Grant No.11301382 and the Tianjin Natural Science Foundation No. 16JCYBJC18500.

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Authors and Affiliations

  1. College of Computer Science and Information Engineering, Tianjin University of Science and Technology, Tianjin, 300222, China

    Ying Liu, Xiaozhong Li & Yao Ma

Authors
  1. Ying Liu
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  2. Xiaozhong Li
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  3. Yao Ma
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Corresponding author

Correspondence to Ying Liu .

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Editors and Affiliations

  1. School of Economics and Management, Beijing University of Chemical Technology, Beijing, China

    Xiang Li

  2. School of Economics and Management, China University of Petroleum, Qingdao, Shandong, China

    Xiaofeng Xu

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Liu, Y., Li, X., Ma, Y. (2017). Reliability Analysis of Unrepairable Warm Standby Systems Mixed With Randomness and Fuzziness. In: Li, X., Xu, X. (eds) Proceedings of the Fourth International Forum on Decision Sciences. Uncertainty and Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-10-2920-2_39

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