Reliability Analysis Of Some Repairable Systems With Repairman Having Different Conditions

Reliability of repairable system is very important in the research of reliability. The voting system, warm standby system and the parallel system are used much more in practical engineering. On the base of the existing research harvest of repairable system, the paper has extended some system reliability of repairable models.First, this paper discusses a repairable circular consecutive k/n(F) system. Under the condition of varing failure rates when the number of the working components change and more than one repairman, we obtain the MTTFF and the laplace transform of instantaneous availability and reliability by using the method of generalized transition probability and the rule of key component with repairing priority.Second, the warm standby repairable system consisting of two different components with one repairman is discussed. Assume that the work time and repair time of one component with work priority has exponential distribution, and the standby time, work time and repair time of another component with time test strategy has general distribution. By using Markov renewal process theory, we obtain the MTTFF and the LS or laplace transform of instantaneous availability and reliability of the system.Last, this paper discusses two parallel system with repairman having vacations. One is a parallel system consisting of two different units with two different repair styles and one repairman with multiple vacations; the other is a parallel system with warm standby component and repairman with multiple delay vacations. By using generalized Markov process and the method of supplemental variable, we obtain the laplace transform of some reliability indices such as steady state availability and reliability and the stationary indices.