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Repairable Circular Consecutive 2/n(F) System

Zhang Yuanlin(Dept.of Applied Maths,Southeast University, Nanjing 210018)Wang Taipeng(Information Center, Environment Protections Bureau of Henan Province, Zhengzhou 450004)  
In this paper, a circular consecutive 2/ n(F) repairable system is studied.Assume that the working time and repair time of each component are both exponentially distributed, and each component after repair is as good as new.By using the definition of generalized transition probability, we derive the state transition probability of the system.Whenever n is given, we can obtain the exact formulas of the system reliability (or its Laplace transformation) and the system MTTFF (mean time to first failure).Finally, for n =2,3,4,5 and 6,the results of reliability and MTTFF of the corresponding system are presented in a table.
【Fund】: 国家自然科学基金 江苏省自然科学基金
【CateGory Index】: N94
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