Properties of transportation dynamics on scale-free networks

Jian-Feng Zheng, Zi-You Gao and Xiao-Mei Zhao

Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 837-844

Abstract: In this work, we study the statistical properties of transportation dynamics considering congestion effects, based on the standard Barabási–Albert scale-free model. In terms of user equilibrium (UE) condition, congestion effects can be described by cost function. Simulation results demonstrate that the cumulative load distribution exhibits a power-law behavior with Pl∼l-(γ-1), where l is the flow loaded on the node and γ≈2.7 which is much bigger than that obtained in many networks without considering congestion effects. That is, there exist fewer heavily loaded nodes in the network when considering congestion effects. Furthermore, by numerically investigating overload phenomenon of the heaviest loaded link removal in transportation networks, a phase-transition phenomenon is uncovered in terms of the key parameter characterizing the node capacity.

Keywords: Scale-free networks; Transportation networks; Congestion effects; Overload phenomenon (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:837-844

DOI: 10.1016/j.physa.2006.05.032

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