| 带反馈优先的M/M/c排队在通信网络中的应用 |
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| 引用本文： | 厉莉,朱翼隽.带反馈优先的M/M/c排队在通信网络中的应用[J].成都信息工程学院学报,2006,21(6):897-902. |
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| 作者姓名： | 厉莉 朱翼隽 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013 |
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| 摘 要： | 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。
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| 关 键 词： | M／M／c排队 反馈优先 拟生灭过程 谱展开 稳态分布 |
| 文章编号： | 1671-1742(2006)06-0897-06 |
| 修稿时间： | 2006年2月28日 |
Application of M/M/c queue with feedback priority to communication network |
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| LI Li,ZHU Yi-juan.Application of M/M/c queue with feedback priority to communication network[J].Journal of Chengdu University of Information Technology,2006,21(6):897-902. |
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| Authors: | LI Li ZHU Yi-juan |
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| Abstract: | 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. |
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| Keywords: | M/M/c queue feedback priority quasi birth-and-death process spectral expansion stationary distribution |
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