通信网络中带有Markov故障流的MAP/M/∞排队模型

MAP/M/∞ Queue Model with Markov Flow of Breakdowns in Communication Network

为了减少通信网络故障对系统排队指标和系统性能的影响,本文通过讨论通信网络中具有故障和数据包到达都为Markov流的MAP/M/∞排队模型,采用拟生灭过程的方法求得稳态时两个队列与系统的各项排队指标及重要的可靠性指标.另外,利用数值例子说明了系统的各个参数对系统各项排队指标及可靠性指标的影响.

In order to reduce the breakdown impact of the communication network, we consider the MAP/ M/∞ Queue with Markov Flow of Breakdowns and packets in the system. The queue and main reliability indexes of servers are also derived by a quasi - birth - and - death process. Besides, we give numerical examples to il- lustrate the effect of the parameters on several performance characteristics.