Analysis Of The Repairable Queueing System M/G/1 With Several Kinds Of States

Much has been done concerning repairable queueing system M/G/1 and plenty of results been obtained. But those results are mainly concerned with the situation of only two kinds of state (work and breakdown). This paper first concerned repairable queueing system M/G/1 with the situation of several kinds of state. In the chapter one and two, we give the development of queueing system and we research this paper which is used of some methods and theorems. In the chapter three, we discuss that the repairable queueing system M/G/1 with two kinds of Breakdown states(normal and abnormal) .Normal breakdown is caused by the life termination of service station and abnormal breakdown results from the operation lapse. Next chapter, we discuss that the repairable queueing system with three kinds of states which are normal work, abnormal work and breakdown. After a few minutes, the service station turns into abnormal work. Passing by a period of time, the life of service station terminate, then enter into breakdown. Once the service station change, the service time that is already served will lose, and the customer will accept the service over again. By use of "Supplemental variable method" and "VMP", we derive queueing indexes and reliability indexes.