Self-organized diffusion of congestion in complex networks |
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Authors: | Jian-Feng Zheng Zi-You Gao Shuai Dai |
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Affiliation: | a Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing, 100044, PR China b Institute of Transportation Engineering, Tsinghua University, Beijing 100084, PR China c State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, PR China |
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Abstract: | ![]() In this work, we propose and study a model for the diffusion of congestion in complex networks. According to the proposed model, the level of congestion on each node will be self-organized into the same value. The diffusion of congestion throughout various networks with different topologies is investigated analytically and by numerical tests. The flow fluctuations in complex networks are studied. We recover a power-law scaling relation between the standard deviation and mean flow, which is consistent with the previous studies. Finally, we extend our model by adding two constraints, which may be effective strategies for diffusing the local and the global congestion in complex networks, respectively. |
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Keywords: | 89.75.Hc 05.60.-k 02.60.Cb |
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