Repairable System Reliability Analysis, Repair Of Equipment Can Be Replaced

Reliability of repairable system is very important in the research of reliability. On the base of the existing research harvest of reliability of repairable system, this paper has studied the reliability of some important repairable systems with repairable repair facility as follows:1) A one unit repairable system with a replaceable repair facility and single repairman vacation is studied. It is supposed that the unit's life, its repair time and the repairman's vacation time both have general distribution, the repair facility's life has exponential distribution, and its repair time has general distribution. By using total probability decomposition and tool of the laplace transform, some primary reliability quantities of the system are obtained, such as the system's reliability, availability and the expected failure number during (0, t ]. Furthermore, the generalized busy period of the repair facility is defined, and a new approach to analyze the repair facility's reliability is provided by the total probability decomposition and the tool of the laplace transform. A series of reliability quantities of the repair facility are also obtained, such as the distributions of the repair facility's free period and generalized busy period, the probability in generalized busy period, non-availability, and mean failure number.2) A one unit repairable system with a replaceable repair facility and multiple repairman vacation is studied. It is supposed that the unit's life has exponential distribution, its repair time and the repairman's vacation time both have general distribution, the repair facility's life has exponential distribution, and its repair time has general distribution. By using total probability decomposition and tool of the laplace transform, some primary reliability quantities of the system are obtained, such as the system's reliability, availability and the expected failure number during (0, t ]. Furthermore, the generalized busy period of the repair facility is defined, and a new approach to analyze the repair facility's reliability is provided by the total probability decomposition and the tool of the laplace transform. A series of reliability quantities of the repair facility are also obtained, such as the distributions of the repair facility's free period and generalized busy period, the probability in generalized busy period,...