基于M/M/m队列的通信网络排队模型化研究  

Study of M/M/m Queuing Model in Communication Network

作　　者：张霖[1] 刘建明[2] 李宏周[1] 彭智勇[1] 

机构地区：[1]桂林电子科技大学电子工程与自动化学院,桂林541004 [2]桂林电子科技大学计算机科学与工程学院,桂林541004

出　　处：《科学技术与工程》2013年第5期1175-1180,1185,共7页Science Technology and Engineering

基　　金：国家自然科学基金(60762002);广西可信软件重点实验室开放课题(kx201101);广西高校优秀人才计划(桂教人201065);广西研究生教育创新计划项目(2010105950812M25)资助

摘　　要：在通信领域里,排队论因理论性强,通用性好而被广泛地运用到网络建模中,但由于排队论本身复杂的理论推导和大量的数学运算,使得用它求解问题变得困难,同时也限制了它的进一步推广。为了更好地将排队论用于网络建模,利用排队论的知识建立了两种不同的排队模型:一、利用C++语言建立了M/M/m队列的数学模型;二、利用仿真工具建立了M/M/m队列的仿真模型并给出了仿真过程的模块化定义。这两种模型均具有形象直观的表达形式,弥补了单纯使用数学分析方法而使问题显得过于抽象的不足,从而为研究更加复杂的排队网模型奠定了基础。In the field of communications, the queuing theory has been widely applied in network modeling because of its strong versatility. However, due to the complex theoretical analysis and mathematical operations of the queuing theory, the application becomes more difficult, and its further promotion is limited. In order to apply the queuing theory in network modeling, two different models using the knowledge of queuing theory were established. Firstly, the mathematical model of M/M/m queue based on C language was established. Secondly, a modular definition of simulation was given and the simulation model of M/M/m queue based on simulation tools was established. These two models both have intuitive forms of expression. They can improve the mathematical analysis which is too abstract to understand, and laid the foundation for the study of more complex queuing network model.

关 键 词：排队论 M M m队列 网络建模 OPNET Matlab 

分 类 号：TN919.3[电子电信—通信与信息系统] N945.12[电子电信—信息与通信工程]