Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/288
Title: Traffic on complex networks: Towards understanding global statistical properties from microscopic density fluctuations
Authors: Tadic, B
Thurner, S
Rodgers, GJ
Keywords: Large-scale systems;Time series;Fluctuations;Graph theory
Issue Date: 2004
Publisher: American Physical Society
Citation: Bosiljka Tadic, Stefan Thurner, G. J. Rodgers, Traffic on complex networks: Towards understanding global statistical properties from microscopic density fluctuations, Phys. Rev. E 69, 036102 (2004)
Abstract: We study the microscopic time fluctuations of traffic load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates R the traffic is stationary and the load time series exhibits antipersistence due to the regulatory role of the superstructure associated with two hub nodes in the network. We discuss how the superstructure affects the functioning of the network at high traffic density and at the jamming threshold. The degree of correlations systematically decreases with increasing traffic density and eventually disappears when approaching a jamming density Rc. Already before jamming we observe qualitative changes in the global network-load distributions and the particle queuing times. These changes are related to the occurrence of temporary crises in which the network-load increases dramatically, and then slowly falls back to a value characterizing free flow.
URI: http://link.aps.org/abstract/PRE/v69/e036102
http://bura.brunel.ac.uk/handle/2438/288
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers
Mathematical Sciences

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