Reliability Analysis For Two Repairable Voting Systems

The voting system is one of the standby system and consecutive k-out-of-n system are widely applied in engineering. These systems have been investigated by many researchers so far, and have some results. In this paper we improve the results and do some study in the following respectsFirst, a n-1-out-of-n(G) repairable system with one standby component is studied. Assuming that the working time and repair time of each component are both exponentially distributed. All components are identical and independent. Repair starts immediately when a component fails and repair times are independent and exponentially distributed. By using the definition of generaliz- ed transition probability and a rule with priority to repair the key components. We derive the reliability indices.Second, a consecutive circle 2-out-of-3(G) repairable system with differe- nt components is studied. Assuming that the system have only one repairman, the failure components can be repaired"as good as new", the working time and repair time of each component are both exponentially distributed. We derive the system reliability, the mean time to first failure of the system, the steady state availability and on the condition that system is on the steady state,and other reliability indices.Finally, a 2-out-of-3(G) repairable system is studied. It is assumed that the life distribution of each component is exponential distribution and the repair distribution of each component is general distribution. Under this assumption, the failure components can not be repaired"as good as new"and are to be repaired by"first in first out"rule. By using the theory of geometric process and introducting supplementary variable.we construct a generalized markov process and derive lapace transforms of some reliability indices.