Desk Repair The Delay M/g/1/_ ¡Þ Repairable Queuing System

In this paper,the M /G/1/∞repairable queueing system with repair delay time is studied.Some important queueing quantities and reliability quantities are in detail discussed as follows: (1) By using the renewal process theory and the total probability decomposition technique,we obtain the transient and equilibrium distributions of the queue length from any initial state N ( 0)=i,we derive the recursion expression of the equilibrium queue length : and the generating function of equilibrium queue length distribution { p j ,j≥0} is given by (2) We discussed the distribution of waiting time, the mean waiting time and the mean delaying time are given by (3) The departure of the system is studied, and the mean value of departure customers when t â†'∞is given by (4) We discussed the unavailability of the service station .the equilibrium unavailability is given by (5) The expected failure number of the service station is discussed, and its mean value when t â†'∞is given by...