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Further research of a new kind of series repairable system

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Abstract

This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C 0-semigroup theory and discussing its exponential stability by analyzing the spectral distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China

    Lina Guo

  2. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China

    Houbao Xu

  3. Department of System Engineering, Beijing Institute of Information and Control, Beijing, 100037, China

    Chao Gao

  4. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China

    Guangtian Zhu

Authors
  1. Lina Guo
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  2. Houbao Xu
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  3. Chao Gao
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  4. Guangtian Zhu
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Corresponding author

Correspondence to Lina Guo.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant No. 11001013.

This paper was recommended for publication by Editor Dexing FENG.

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Guo, L., Xu, H., Gao, C. et al. Further research of a new kind of series repairable system. J Syst Sci Complex 25, 744–758 (2012). https://doi.org/10.1007/s11424-012-9253-y

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  • DOI: https://doi.org/10.1007/s11424-012-9253-y

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