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Network Traffic Assignments And Transportation Dynamics Over Different Topologies

Author

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  • YI-FAN ZHAO

    (Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China)

  • JIAN-FENG ZHENG

    (Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China)

Abstract

Many real systems can be regarded as complex networks. In this paper, we investigate the influence of traffic assignments on transportation dynamics in complex networks with different topologies. The sequential problem is motivated by the fact that some previous works are only on traffic assignment of user equilibrium (UE). We introduce traffic assignments of system equilibrium (SE) and system optimization (SO) to analyze the relationship between traffic assignments and network topologies. In terms of these traffic assignments, some interesting results concerning system total cost are obtained. Simulation results demonstrate that load distribution also exhibits a power-law behavior for SE and SO assignments in scale-free networks. Furthermore, the exponents for SE and SO assignments are much larger than that for UE assignment. It indicates that traffic assignments play an important role in determining the transportation dynamics in scale-free networks. Finally, cascading failures of link removal in different topologies are discussed.

Suggested Citation

  • Yi-Fan Zhao & Jian-Feng Zheng, 2008. "Network Traffic Assignments And Transportation Dynamics Over Different Topologies," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(09), pages 1337-1347.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:09:n:s012918310801300x
    DOI: 10.1142/S012918310801300X
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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