M/G/1 QUEUE WITH COMPULSORY VACATION AND DETERMINISTIC REPAIR

We analyze a single server M/G/1 queue with compulsory server vacation and random breakdowns. Also just after a breakdown, the server undergoes repair of fixed (constant) duration of constant length 0. There are single Poisson arrivals with mean arrival rate . The service is performed one by one to all arriving customers and service times follow general distribution. After the completion of each service, the server goes for compulsory vacation and the vacation times also follow general distribution. The supplementary variable technique is used to find explicitly the probability generating function of the number in the system and the mean number in the system.