论文信息 - The M/M/2 Repairable Queueing System

The M/M/2 Repairable Queueing System

In this paper, we consider the M/M/2 queueing system with service interruptions. The rates of server breakdown are different between busy time and idle time, and there is one repairman in the system. Using the transform method we obtain the steady-state probabilities of the states, the steady-state availability and the steady-state queueing length, give a new form of the condition for the existence of the steady-state probabilities.

[1] Marcel F. Neuts,et al. A Markovian Queue with N Servers Subject to Breakdowns and Repairs , 1979 .

[2] Marcel F. Neuts,et al. Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking , 1980, SIAM J. Algebraic Discret. Methods.

[3] B. Avi-Itzhak,et al. A Many-Server Queue with Service Interruptions , 1968, Oper. Res..

[4] Pu Patrick Wang,et al. A vacation queueing model with service breakdowns , 2000 .

[5] Awi Federgruen,et al. Optimal Maintenance Policies for Single-Server Queueing Systems Subject to Breakdowns , 1990, Oper. Res..

[6] Kuo-Hsiung Wang. Optimal operation of a markovian queueing system with a removable and non-reliable server , 1995 .

[7] Ying Hui Tang,et al. Downtime of the service station in M/G/1 queueing system with repairable service station , 1996 .

[8] Qun Liu,et al. A geometric process model for M , 2006, Eur. J. Oper. Res..