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摘要:
We study the congestion phenomenon in a mathematical model of the data packets traffic in transmission networks as a function of the topology and of the load of the network. Two types of traffic are considered: homogeneous and heterogeneous traffic. The congestion phenomenon is studied in stationary conditions through the behaviour of two quantities: the mean travel time of a packet and the mean number of packets that have not reached their destination and are traveling in the network. We define a transformation that maps a network having the small world property (Inet 3037 in our numerical experiments) into a (modified) lattice network that has the same number of nodes. This map changes the capacity of the branches of the graphs representing the networks and can be regarded as an “interpolation” between the two classes of networks. Using this transformation we compare the behaviour of Inet 3037 to the behaviour of a modified rectangular lattice and we study the behaviour of the interpolating networks. This study suggests how to change the network topology and the branch capacities in order to alleviate the congestion phenomenon. In the website: http://www.ceri.uniroma1.it/ceri/zirilli/w6 some auxiliary material including animations and stereo?graphic scenes that helps the understanding of this paper is shown.
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篇名 Homogeneous and Heterogeneous Traffic of Data Packets on Complex Networks: The Traffic Congestion Phenomenon
来源期刊 通讯与网络(英文) 学科 数学
关键词 Complex Networks Network TOPOLOGY CONGESTION Phenomenon Small World PROPERTY Phase TRANSITION
年,卷(期) 2012,(2) 所属期刊栏目
研究方向 页码范围 157-182
页数 26页 分类号 O1
字数 语种
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Complex
Networks
Network
TOPOLOGY
CONGESTION
Phenomenon
Small
World
PROPERTY
Phase
TRANSITION
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研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
通讯与网络(英文)
季刊
1949-2421
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
427
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