TCP/IP网络的整体稳定性和优化研究
RESEARCHES ON ENTIRE STABILITY AND OPTIMAZATION OF TCP/IP NETWORKS
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摘要: TCP/IP网络中有一些路由选择和流量控制方法只能保证系统局部最优。本文引入现代控制理论,提出通过对TCP/IP数据通信网非线性状态控制模型进行线性近似,并借助李亚普诺夫原理的途径判断数据通信网整体稳定性的方法;在稳定性的基础上,证明了数据网最优控制可以具有路由最短和路由不形成环路等性质。Abstract: In TCP/IP networks, some routing decision and flow control algorithms can guarantee only partitioned optimazation of networks. In this paper, we use Modern Control Theory to develop a new method to judge the entir stability of date communication networks, based on the Lyapnovn Priciple and approxmation of linearized network state control model, which is a nonlinear one in the nature. Forthmore, we confirm the conclusions of TCP/IP network optimazation such as: the shotest path is available as well as the optimal routing will never from routing link loop and so on.
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Hang R H.[J].Kurose J F, Towsley T. MDP routing in ATM networks using virtual path concept Proc. IEEE INFOCOM94 Tbronto, Canada.1509,1994:-[2]Kelly F P. Routing in circuit-switched networks optimization, shadow prices and decentralization.[3]Adv. Appl. Probab., 1988, 17: 112-114.[4]徐光辉. 随机服务系统.北京:科学出版社,1980(全文)[5]Key P B,Cope G A. Distributed dynamic routing schames. IEEE Communications Magazine, 1990,28(5): 54-64.[6]黄琳.稳定性原理.北京: 北京大学出版社,1989,235-283.
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