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The Effects of Link and Node Capacity on Traffic Dynamics in Weighted Scale-Free Networks

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Complex Sciences (Complex 2009)

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Abstract

The effect of link and node capacity on traffic dynamics are investigated in weighted scale-free networks by adopting a traffic routing model with local node strength information: \(P_{l \rightarrow i} = \frac{S_{i}^{\alpha}}{\sum_j S_{j}^{\alpha}}\). The link bandwidth is controlled by: B ij  =  max (βw ij ,1), and the capacity of nodes is controlled by: max (γs i , 1). The phase transition from free flow to congestion is reproduced. The optimal routing strategy is sought out. When β increases from zero, the optimal strategy changes from preferring low-strength nodes to high-strength nodes. When β ≈ 1.0, there will be two optimal routing strategies. When β is low, the system’s behavior is controlled by link bandwidth, while it is controlled by node capacity when β is high. Our work may be useful for the design of modern traffic systems and communication networks.

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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Hu, M.B., Jiang, R., Wu, Y.H., Wu, Q.S. (2009). The Effects of Link and Node Capacity on Traffic Dynamics in Weighted Scale-Free Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_56

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  • DOI: https://doi.org/10.1007/978-3-642-02466-5_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02465-8

  • Online ISBN: 978-3-642-02466-5

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