N-policy M/g/1 / ¡Þ Repairable Queuing System,

In this paper, the repairable queuing system with police is studied. Some important queuing quantities and reliability quantities are in detail discussed as follows: (1) Using the renewal process theory and the method of stochastic decomposition,Both the transient and equilibrium distributions of the queue length from any state are discussed, and the recursion expression of the equilibrium distribution is given by Furthermore, the generating function of equilibrium queuing length distribution is given by(2) The distribution of waiting time is discussed, and the mean waiting time is given by (3) The departure of the system is discussed, and the mean value of departure customers when is given by(4) The unavailability of the service station and the equilibrium unavailability is given by (5) The expected failure number of the service station is discussed, and its mean value when is given by...