| The construction of urban rail transit is in the stage of rapid development.The mileage of operation is increasing year by year,and the pressure of safe operation is increasing.With the network operation trend of rail transit gradually forming,the failure of a station may cause the breakdown of the whole traffic network.The reasonable location of urban rail transit emergency rescue station can improve the efficiency of emergency rescue as well as the level of emergency management and reduce accident losses.Therefore,this paper combines the complex network theory with the location model of the emergency rescue station to conduct an in-depth study on the optimal location of the emergency rescue station.Firstly,this paper models the topology of urban rail transit network and calculate the network structure characteristic quantity to understand the network structure characteristics.Then,an index system for evaluating the importance of urban rail transit nodes including degree centrality,betweenness centrality,closeness centrality,network cohesion,and network efficiency is constructed from two perspectives of importance equals salience and importance equals destruction,and an index solving algorithm is designed.The node importance evaluation model based on ideal fuzzy matter element is proposed to rank the importance of urban rail transit network nodes using euclid closeness degree,which will be used as the parameters of the optimal site selection model in the following paper.Based on the premise of comprehensive coverage of the demand points and meeting the emergency rescue time,two classical siting models and an optimal siting model considering the importance of nodes are constructed and solved by Lingo software to obtain three siting options.Finally,two attack algorithms of random attack and fixed attack are designed,and use MATLAB to simulate the antidestructiveness of the urban rail network under three siting schemes,and compare and analyze the three siting schemes to verify the effectiveness of the model.Taking Shijiazhuang 2025 rail transit as an example,the following conclusions are drawn:(1)A topological model of Shijiazhuang rail transit network containing 99 nodes and 107 edges is constructed.The statistical analysis found that the average path length of Shijiazhuang rail transit network is 9.734 1,the diameter is 29,the clustering coefficient is 0,the network aggregation degree is very low,and it is a scale-free network.(2)The node importance of Shijiazhuang rail transit network was evaluated,and finds that Line 1 of Shijiazhuang rail transit has the most key nodes.The K-means algorithm is used to classify the stations of Shijiazhuang rail transit network into four levels,among which there are 14 extremely important stations in level Ⅰ.(3)The two classical siting models and the siting model considering the node importance are solved to obtain three siting decision options.The simulations of the destructibility of Shijiazhuang rail transit network under the three siting options show that under the two attack strategies,the network destructibility curves under the three siting decisions are significantly different.The Shijiazhuang rail transit network under the decision scheme considering node importance selection model shows strong anti-destructive performance in the face of random attacks and deliberate attacks.The comparative analysis shows that the optimal site selection scheme can not only reduce the number of site selection and construction cost,but also realize the priority protection of key stations and improve the anti-damage performance of urban rail transit network.The case proves the effectiveness of the optimization model,which has a certain guiding significance for the location of emergency rescue station in urban rail transit. |
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