An optimal replacement policy for the alpha series system with single vacation and delay repair

For the maintenance of repairable system of the alpha series, under the situation that the system. For the α-series process of the repairable system with a single vacation repairman and delay repair, this paper gives a replaced policy. Assume the damaged system can not be repaired as a new one and the repairmen can be repaired immediately in p probability and the repair is delayed in probability, under this situation, according to the α-series process, we get the average cost rate of the system under the policy N. And we also use a numerical example to illustrate the maintenance model mentioned in this paper.