The effect of bandwidth in scale-free network trafficMao-Bin Hu1, Wen-Xu Wang2, Rui Jiang1, Qing-Song Wu1 and Yong-Hong Wu3
1 School of Engineering Science, University of Science and Technology of China - Hefei 230026, PRC
2 Nonlinear Science Center and Department of Modern Physics, University of Science and Technology of China - Hefei 230026, PRC
3 Department of Mathematics and Statistics, Curtin University of Technology - Perth WA6845, Australia
received 18 December 2006; accepted in final form 22 May 2007; published July 2007
published online 8 June 2007
This paper models the effects of bandwidth on the traffic capacity of scale-free networks. We investigate the decrease of the system traffic capacity and the variation of the optimal local routing coefficient , induced by the restriction of bandwidth. For low bandwidth, the same optimal value of emerges for two different cases of node capacity, namely C= constant and Ci=ki, where ki denotes the degree of the i-th node. By investigating the number of packets at each node in the free-flow state, we provide analytical explanations for the optimal value of . Average packet travelling time, distribution of packet travelling time, and average visits per node divided by the node connectivity are also studied.
45.70.Vn - Granular models of complex systems; traffic flow.
89.75.Fb - Structures and organization in complex systems.
89.20.-a - Interdisciplinary applications of physics.
© Europhysics Letters Association 2007