The Study Of Empirical, Topology And Traffic Dynamics For Weighted Network

Traffic dynamic of complex network is originated from the physical abstraction of the objectiveworld. Complex networks from the physical to the objective world of abstraction, scholars study onit that is started from the network structure and the actual research network, and then introduced toconstruct the network model, to reappear the diverse topological features of actual networks, andbegan to use all sorts of structural properties of the network constantly changing perspective tore-understand the actual network. In the full understanding based on network structure of scholarsbegan to explore the traffic dynamics of networks, where traffic dynamics is an important branch ofthe dynamics of complex networks.Previous research is mainly based on the meaning of topology network made, overlooking theactual weights of networks. In this paper, the empirical research, evolving mechanism and kineticbehavior of weighted Network will be as the research’s content, Analysis use statistical theory,united with imitation experiments, understanding the framework and changes of weighted networkmodel, study the dynamic of weighted network. In this paper, the chief study task and fruits are:Firstly, Nanjing city bus lines and docking sites consisted of transit network will be as a typicalweighted networks. Calculated by simulating the structural Eigen-values of its network capacity,and make a comprehensive and detailed analysis about the weighted small-world networks,scale-free properties.Secondly, considering the real traffic programming, the weighted network evolution model isproposed based on the repetition rate, by using computer to imitate the models evolution, the degreeand the right point of the network whose distribution are agreed with a power-law, those areconsistent with theoretical speculation.Thirdly, for the sake of solve the traffic congestion matter in weighted network, a new strategyis proposed by us that combined with the local routing strategy and broken-edge routing strategythat two strategies are based on strong product. Using traffic order parameter describing transitionprocess of the network from the free-state to the congestion-state phase, the dynamics of network isin free-state and the traffic congestion condition was analyzed.