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Routing strategies in traffic network and phase transition in network traffic flow
Authors:Bing-Hong Wang  Wen-Xu Wamg
Institution:(1) Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, China;(2) Shanghai Academy of System Science and University of Shanghai for Science and Technology, Shanghai, 200093, China;(3) Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
Abstract:The dynamics of information traffic over scale-free networks has been investigated systematically. A series of routing strategies of data packets have been proposed, including the local routing strategy, the next-nearest-neighbour routing strategy, and the mixed routing strategy based on local static and dynamic information. The capacity of the network can be quantified by the phase transition from free flow state to congestion state. The optimal parameter values of each model leading to the highest efficiency of scale-free networked traffic systems have been found. Moreover, we have found hysteretic loop in networked traffic systems with finite packets delivering ability. Such hysteretic loop indicates the existence of the bi-stable state in the traffic dynamics over scale-free networks.
Keywords:Routing strategy  network traffic flow  hysteretic loop  phase transition from free flow state to congestion state  scale-free network  bi-stable state  traffic dynamics
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