DYNAMICS BEHAVIORS OF SCALE-FREE NETWORKS WITH ELASTIC DEMAND

Yan-Lai Li, Hui-Jun Sun () and Jian-Jun Wu
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Yan-Lai Li: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Hui-Jun Sun: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Jian-Jun Wu: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 08, 1305-1313

Abstract: Many real-world networks, such as transportation networks and Internet, have the scale-free properties. It is important to study the bearing capacity of such networks. Considering the elastic demand condition, we analyze load distributions and bearing capacities with different parameters through artificially created scale-free networks. The simulation results show that the load distribution follows a power-law form, which means some ordered pairs, playing the dominant role in the transportation network, have higher demand than other pairs. We found that, with the decrease of perceptual error, the total and average ordered pair demand will decrease and then stay in a steady state. However, with the increase of the network size, the average demand of each ordered pair will decrease, which is particularly interesting for the network design problem.

Keywords: Dynamics behaviors; scale-free networks; elastic demand; 89.40.-a; 89.65.-s; 89.90.+n; 89.75.-k (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012893

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