Research On Traffic Congestion Propagation Model And Control Strategy Based On Road Network Structur

With the acceleration of urbanization,traffic congestion has become a persistent problem plaguing many cities around the world,severely impacting the quality of life for urban residents and economic growth.The numerous factors contributing to traffic congestion include insufficient road infrastructure,high concentration of motor vehicles,road construction,and urban planning and management,among others.Therefore,establishing a rational and effective urban traffic congestion propagation model to study the patterns of congestion propagation and dissipation is of great significance for the prevention and alleviation of urban traffic congestion.The urban transportation system is a complex and enormous system,with its actual operation influenced by the combined effects of various factors.In previous studies,simplified rule-based networks were mainly used,and traffic flow theories were applied to simulate the traffic operation within the network.However,such methods have not yet fully revealed the complexity of urban traffic networks.The emerging complex network theory focuses on the interaction between network structure and dynamic behavior,bringing innovative perspectives to the study of urban traffic congestion.Therefore,based on complex network theory,this paper establishes a heterogeneous traffic congestion propagation model from the dimensions of road network structure and propagation state to further study the mechanism of traffic congestion propagation.At the same time,deterministic and stochastic control strategies for traffic congestion are designed.The specific contents of this paper are as follows:（1）A heterogeneous traffic congestion propagation model has been established.First,by obtaining and parsing the real road network data of a part of the central area of Guangzhou city as an example,it is abstracted into a complex network according to intersections（nodes）and roads（edges）.Next,the Gephi tool is used to perform statistical analysis on the network,obtain relevant data,and calculate the corresponding structural parameters.Finally,based on complex network theory,intersections with different congestion states are classified,and a heterogeneous traffic congestion propagation model is constructed.（2）Analysis of the propagation mechanism of the traffic congestion propagation model.First,a global dynamic analysis is carried out on the model,and based on the next-generation matrix method,an expression for the threshold value（basic reproduction number）that describes the magnitude of traffic congestion propagation force is calculated.Then,the Lyapunov method is applied to further confirm the global stability of sustained congestion propagation under the threshold ₀R>1 and the global stability of natural congestion dissipation under the threshold R₀<1.Finally,through numerical experiments,the congestion propagation conditions under the two situations are compared,verifying the accuracy of the theoretical analysis.（3）Research on control strategies based on the traffic congestion propagation mechanism.First,the PRCC method is used to conduct a parameter sensitivity analysis of the traffic congestion propagation threshold,obtaining the main parameters affecting traffic congestion propagation and their degree of influence.In response to the road network structure,a deterministic traffic congestion control strategy is proposed,and the role of road network structure optimization in alleviating traffic congestion is analyzed.By controlling the initial values of different congested intersections,the changes in the corresponding traffic congestion propagation are analyzed.Based on artificial intervention measures such as traffic control,a stochastic traffic congestion control strategy is proposed.Through theoretical and numerical experiments,it is proven that the proposed stochastic control strategy can effectively control congestion propagation when the control conditions are met.