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Reliability Evaluation for A Class of Multi-Unit Cold Standby Systems under Poisson Shocks
Authors:Qingtai Wu  Jin Zhang  Jiashan Tang
Institution:1. College of Science, Nanjing Agricultural University, Nanjing, Chinawuqingtai@njau.edu.cn;3. College of Science, Nanjing Agricultural University, Nanjing, China;4. College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China
Abstract:The reliability evaluation for a multi-units cold standby system with a switch-over under Poisson shocks is investigated. The random value of each shock is assumed to be i.i.d. with some known distribution. Each arrival of a shock has a random effect on the operating unit and on the switch-over. When the operating unit fails while the switch-over is normal, the next cold standby unit will start to operate immediately. The system fails only when all the units have failed or both the operating unit and the switch-over have failed. The reliability function and the mean time to the failure (MTTF) of the system are obtained.
Keywords:Cold standby system  Switch-over  Poisson shock  Reliability index
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