Reliability of repairable multi-state two-phase mission systems with finite number of phase switches |
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Institution: | 1. Center for System Reliability and Safety, School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, 611731 Chengdu, China;2. Chair System Science and the Energy Challenge, Fondation Électricité de France (EDF), CentraleSupélec, Université Paris Saclay, 91192 Gif-sur-Yvette Cedex, France;3. Energy Department, Politecnico di Milano, Milano, Italy;1. School of Management, Shanghai University, Shanghai, China;2. University of Massachusetts, Dartmouth, MA, USA;3. Donlinks School of Economics & Management, University of Science and Technology Beijing, Beijing, China;4. School of Reliability and Systems Engineering, Beihang University, Beijing, China;1. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, Sichuan 611731, PR China;2. Center for System Reliability and Safety, University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, Sichuan 611731, PR China |
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Abstract: | In this article, a repairable multi-state two-phase mission system with finite number of phase switches is considered. System states can be divided into a subset of working states and a subset of failed states, and the system can be repaired from the failed subset to the working subset. However, when the number of switches between two phases exceeds a specified integer, the system will be permanently damaged and cannot be repaired any more. The closed-form formulas of the probability density function of the time to first failure of the system, the point-wise availability, the interval availability and other reliability indexes are obtained by using the theory of aggregated stochastic processes. Finally, a detailed example of lithium-ion batteries is given to illustrate the proposed model and obtained results. |
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