在具有Bernoulli反馈的单队列单服务台排队模型的基础上,考虑通信网络中赋予反馈信元优先权的情况,将单个服务台推广到多个服务台,建立了具有反馈优先的M/M/c排队模型.在该排队模型中,信元的到达遵循泊松过程,服务时间服从指数分布,通过构造拟生灭过程和运用谱展开方法给出了平稳队长分布的算法,具体给出了C=2时平稳队长分布的显式表达式,以及在反馈优先和反馈非优先两种策略下的排队指标,并作出了相应的指标性能分析,得出信元在反馈优先策略下的平均逗留时间较短,进而说明了该排队模型在通信网络中有广泛的应用价值。
The strategy with feedback priority on the basis of a single server queue with Bernoulli feedback is considered. A single server is expanded to the multi-servers and a M/M/c queue with feedback priority, Poisson arrival process and exponential service time. By constructing a quasi birth-and-death process and applying the spectral expansion method the algorithm of stable indexes are given, especially the explicit expression of stationary distribution when c -- 2. Furthermore the performance indexes are calculated and analyzed respectively with the strategy between feedback priority and feedback non-priority. The result shows that mean sojourn time of feedback priority is shorter to indicate that this queue model has an extensive value of application to the communication network.