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Further research of a new kind of series repairable system |
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| Authors: | Lina Guo Houbao Xu Chao Gao Guangtian Zhu |
| Institution: | 1. Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China 2. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China 3. Department of System Engineering, Beijing Institute of Information and Control, Beijing, 100037, China 4. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China |
| 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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