International Journal of Innovative Research in Science, Engineering and Technology (IJIRSET)
In this paper, the authors deal with a single server batch arrival queue, two stages of heterogeneous service with different (arbitrary) service time distribution subject to random breakdowns followed by a repair and compulsory server vacations with general (arbitrary) vacation periods. After first stage service the server must provide second stage service. However, after the completion of each second stage service the server will take compulsory vacation. The system may breakdown at random and it must be send to repair process immediately.