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大型M/P/C/C排队系统仿真研究
引用本文:林峰,符涛,黄生叶.大型M/P/C/C排队系统仿真研究[J].计算机仿真,2007,24(5):131-133,221.
作者姓名:林峰  符涛  黄生叶
作者单位:湖南大学计算机与通信学院,湖南,长沙,410082;湖南大学计算机与通信学院,湖南,长沙,410082;湖南大学计算机与通信学院,湖南,长沙,410082
摘    要:理论上推测Erlang B 公式对服务时问为任意分布的M/G/C/C系统的呼叫损失概率是有效的但缺乏严格证明.据此,对服务时间呈 Pareto 分布的M/P/C/C排队系统的仿真问题进行了研究,特别是对排队系统中服务装置数目很大的情况进行了研究.采用一种名为红黑树的数据结构较好地解决了超长序列、超大C值所造成的计算时间问题,并采用基于事件驱动的时间调度法进行排队仿真,结果与 Erlang-B 公式相符.表明Erlang B公式对M/P/C/C系统的呼叫损失概率是有效的.为采用仿真方法对自相似流下的网络性能进行深入研究打下了基础.

关 键 词:自相似  公式  红黑树
文章编号:1006-9348(2007)05-0130-03
修稿时间:2006-10-232006-12-29

Simulation of Large M/P/C/C Queueing System
LIN Feng,FU Tao,HUANG Sheng-ye.Simulation of Large M/P/C/C Queueing System[J].Computer Simulation,2007,24(5):131-133,221.
Authors:LIN Feng  FU Tao  HUANG Sheng-ye
Affiliation:College of Computer and Communication, Hunan University, Changsha Hunan 410082, China
Abstract:The formula of Erlang B is inferred to hold for any M/G/G/C system with general service time distribution, but rigorous proof is absent. Simulation of M/P/G/C queuing system has been researched, especially considering the situation that the number of servers is huge. A kind of data structure named red - black tree is used to solve the time - consuming problem caused by overlong sequence and huge number of servers C. And event - driven time scheduling simulation method is adopted. Simulation results coincides well with Erlang - B formula. This has laid the foundation of further research on using simulation methods to study the performance of self - similar network traffic.
Keywords:Self - similar  Formula  Red - black tree
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