The Applied Research Of Urban Transit Network Based On The Complex Network Synchronization Theory

With the scale of city unceasingly expanding, the number of vehicles rapidly increases, and the problem of urban traffic congestion has become increasingly serious. The traffic jam can be reduced through constructing more roads, which is used to enhance the capacity of road network. However, the speed of construction of road is far behind the growth rate of traffic demand, as the limited space of cities, which is available for the construction of roads, and the phenomenon of traffic congestion is still very serious. The experience of many cities in domestic and overseas shows that giving priority to the development of public transportation is one of effective way to solve urban traffic congestion.The optimization of bus scheduling scheme is one of the specific measures for giving priority to the development of public transport. In this paper, three kinds of public transportation network models are built based on complex networks theory. And the topology properties of public transportation are analyzed through BA scale-free network theory. Moreover, the complex urban public transport networks with time delays and time-varying delays are considered respectively. Then, the two types of bus dispatch models of complex networks are deeply analyzed using synchronization theory of complex networks. The correctness and validity of these models are verified through experiment researches and numerical simulations of public transportation networks in Lanzhou and Bus Rapid Transit (BRT) network in Zhengzhou.The main research works in this thesis are as follows:(1) The research current situation of synchronization theory of complex networks and theory of bus dispatching at home and abroad is overviewed. The synchronization methods of complex networks with time-delay and time-varying delay are studied deeply. The criteria for global synchronization of systems with time-delay and time-varying delay are analyzed using the stability theory of time delay dynamic systems.(2) Three different models:network model for bus stop, network model for bus ride and network model for bus line, are built based on different characteristics of public transit network of cities. The dynamical characteristics, topology properties and reliability of these three network models are studied. The BA scale-free characters, which lay the foundation for solving the problem of bus dispatching using the theory of synchronization of complex networks, are found in all these three models.(3) In the actual operation of urban public transportation vehicles, the time-delay phenomenon is inherent, as the different speed between vehicles, control sjgnal detector in intersection, emergency and so on. In this thesis, the models of public transportation networks with time-delay are built and the criteria of synchronization of these models are given. Then the "static" scheduling of public transport system is stuied and the evolution process of passenger flow is analyzed based on the synchronization theory of complex networks'nodes with time-delay. The effectness of this method to optimize conventional bus dispatching scheme is proved through numerical simulations and example analysis of public transportation network of Lanzhou.(4) In the actual operation of urban public transportation networks, the time-varying delaying phenomenon is inherent, because of road conditions, traffic volumes, passenger volumes and other factors and so on at different times. The models of public transportation networks'nodes with time-varying delay are built against the above phenomena, and the dynamic properties of these models are studied. Then the "dynamic" scheduling of urban transit system, which can be used to improve operation efficiency and helps the running vehicles and passengers reach dynamical equilibrium, is realized through theoretical analysis and numerical simulation by choosing appropriate nonlinear systems according to the evolution process of passenger volumes.(5) In recent years, BRT in some densely populated prosperous cities have developed rapidly. It is particularly important to improve the operating efficiency of BRT. In this thesis, the BRT models with time-varying delay are built, and the dynamical properties and the topology properties of BRT networks are studied based on the operating characteristics of BRT. And the BA scale-free properties are found in these BRT models. The BRT networks of Zhengzhou are analyzed based on the theory of synchronization theory of complex networks with time-varying delay. The passenger volumes rates of change at the nodes are caculated and the optimalizing scheduling schemes are gained. All of these operations can help the running BRT reach dynamical equilibrium, improve operation efficiency and save operation costs.