Analysis On The Vulnerability Of Railway Complex Passenger Transport Network In Shanxi

In the current society,with the rapid economic development,infrastructure construction and cross-regional mobility of talented people have promoted the vigorous development of China's railway passenger transport.Railway passenger transport has become one of the important choices for people to travel long distances.However,railway safety accidents have occurred from time to time in recent years.When the railway passenger transport network responds to the current situation of intensive human mobility in China,the operating efficiency still needs to be improved.These current conditions reflect the vulnerability of China's railway passenger transport network.Therefore,the effective identification and protection of the vulnerable links in the railway passenger transport network have practical application significance for the high-speed,high-efficiency operation and healthy development of the railway passenger transport network.This paper studies the Shanxi railway passenger transportation network from the perspective of complex networks.In view of the vulnerability of the railway passenger transport network in Shanxi Province,combined with the fact that the density of train trips between stations greatly affects people's travel experience and the actual conditions of the operating efficiency of the railway passenger network,this paper counts the railway lines and train passenger stations in Shanxi Province.Using the modeling method of complex network theory,an undirected weighted network describing the railway passenger network in Shanxi Province was constructed.At the same time,aiming at the undirected weighted characteristics of the railway passenger network in Shanxi Province,a set of characteristic parameters system is designed in this paper.Through the calculation of Pajek software and Matlab software,the nature of Shanxi railway passenger transport network is quantitatively described.From the calculation and statistical results,it is found that the Shanxi railway passenger transportation network has obvious small-world characteristics and scale-free characteristics.In addition,compared with undirected and non-weighted networks,the application of undirected weighted network model to analyze Shanxi railway passenger transport network can more accurately reflect the complex characteristics of Shanxi railway passenger transport network.Then,the network efficiency of the constructed network is calculated,and the vulnerability of the railway passenger network in Shanxi Province is quantitatively analyzed.This paper proposes a method to effectively identify the vulnerable links in undirected weighted networks,and identifies the fragile links in the network that may cause severe damage to the network.The following conclusions are drawn: There are fragile nodes in the railway passenger transport network in Shanxi,and both the degree of nodes and the inlier of the nodes are important factors affecting network efficiency.Larger nodes and nodes with large intervening links have a greater impact on network efficiency,However,both the node degree and the node inequality are not directly proportional to the node vulnerability.At the same time,there are also fragile edges in the Shanxi railway passenger transport network,and the edge weights and edge inequalities are all important factors affecting network efficiency.The edges with heavy weight and large edges have large impact on network efficiency,However,edge weights and edge inequalities are not proportional to the edge's vulnerability.When the scale of the network changes,the fragile links that play a dominant role in the changes in network efficiency are also dynamic.Finally,we give suggestions for improving the vulnerability of the network.