Onset of traffic congestion in complex networks

Liang Zhao, Ying-Cheng Lai, Kwangho Park, Nong Ye

Research output: Contribution to journalArticle

376 Citations (Scopus)

Abstract

Free traffic flow on a complex network is key to its normal and efficient functioning. Recent works indicate that many realistic networks possess connecting topologies with a scale-free feature: the probability distribution of the number of links at nodes, or the degree distribution, contains a power-law component. A natural question is then how the topology influences the dynamics of traffic flow on a complex network. Here we present two models to address this question, taking into account the network topology, the information-generating rate, and the information-processing capacity of individual nodes. For each model, we study four kinds of networks: scale-free, random, and regular networks and Cayley trees. In the first model, the capacity of packet delivery of each node is proportional to its number of links, while in the second model, it is proportional to the number of shortest paths passing through the node. We find, in both models, that there is a critical rate of information generation, below which the network traffic is free but above which traffic congestion occurs. Theoretical estimates are given for the critical point. For the first model, scale-free networks and random networks are found to be more tolerant to congestion. For the second model, the congestion condition is independent of network size and topology, suggesting that this model may be practically useful for designing communication protocols.

Original languageEnglish (US)
Article number026125
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number2
DOIs
StatePublished - Feb 2005

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congestion
Traffic Congestion
Complex Networks
traffic
topology
Scale-free Networks
Vertex of a graph
Topology
Traffic Flow
Congestion
Model
Directly proportional
Cayley Tree
Random Networks
Communication Protocol
Degree Distribution
Network Traffic
Information Processing
Network Topology
Shortest path

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Onset of traffic congestion in complex networks. / Zhao, Liang; Lai, Ying-Cheng; Park, Kwangho; Ye, Nong.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 2, 026125, 02.2005.

Research output: Contribution to journalArticle

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