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Self-organized critical traffic in parallel computer networks

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  • Valverde, Sergi
  • Solé, Ricard V

Abstract

In a recent paper, we analysed the dynamics of traffic flow in a simple, square lattice architecture. It was shown that a phase transition takes place between a free and a congested phase. The transition point was shown to exhibit optimal information transfer and wide fluctuations in time, with scale-free properties. In this paper, we further extend our analysis by considering a generalization of the previous model in which the rate of packet emission is regulated by the local congestion perceived by each node. As a result of the feedback between traffic congestion and packet release, the system is poised at criticality. Many well-known statistical features displayed by Internet traffic are recovered from our model in a natural way.

Suggested Citation

  • Valverde, Sergi & Solé, Ricard V, 2002. "Self-organized critical traffic in parallel computer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 636-648.
    • Handle: RePEc:eee:phsmap:v:312:y:2002:i:3:p:636-648
    DOI: 10.1016/S0378-4371(02)00872-5
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    Cited by:

    1. Huang, Wei & Chen, Shengyong & Wang, Wanliang, 2014. "Navigation in spatial networks: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 132-154.
    2. Almendral, Juan A. & López, Luis & Cholvi, Vicent & Sanjuán, Miguel A.F., 2005. "Congestion schemes and Nash equilibrium in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 602-618.
    3. Glauche, Ingmar & Krause, Wolfram & Sollacher, Rudolf & Greiner, Martin, 2004. "Distributive routing and congestion control in wireless multihop ad hoc communication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 677-701.
    4. Lordan, Oriol & Sallan, Jose M. & Simo, Pep, 2014. "Study of the topology and robustness of airline route networks from the complex network approach: a survey and research agenda," Journal of Transport Geography, Elsevier, vol. 37(C), pages 112-120.

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