Abstract

How to qualitatively and quantitatively evaluate the ability of the whole subway system to maintain the maximum normal operation has become a noteworthy topic. In this study, the hypergraph space structure of Nanjing subway network is used for research. This study uses the method of time-space evolution mechanism to dynamically and quantitatively analyze the gradual change characteristics of Nanjing subway system vulnerability under the influence of time and space. In addition, this study also makes static and dynamic comparative analysis on the vulnerability of a subway system by using connectivity rate and trip efficiency index, which provides new analysis methods and ideas for the study of a subway system network. The results show that although the overall structure of Nanjing’s subway network shows a loose trend, as Nanjing’s subway is still in a rapid development stage, it can be seen from the long-term planning of Nanjing’s subway that the construction of Nanjing’s subway ring line will be strengthened after the completion of the connection between the main city and the suburbs. Therefore, the vulnerability of the subway system should be reduced and the reliability will be improved.

Highlights

  • Subway, as an indispensable mode of transportation in urban transportation, is favored by people because of its safety, comfort, large carrying capacity, energy saving, environmental protection, convenience, and rapidity

  • With the busy operation of the urban subway, subway failures occur frequently, which are often directly manifested in a station or a section of the subway network that cannot work normally

  • Network Space and P Space of Nanjing Subway In Nanjing’s subway network space, if transfer stations or terminal stations are connected in pairs, there will be a bordering between the two stations, and if subway operation lines can be transferred through stations, there will be a bordering between the two lines, establishing Nanjing’s subway network space and space P structure

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Summary

Introduction

As an indispensable mode of transportation in urban transportation, is favored by people because of its safety, comfort, large carrying capacity, energy saving, environmental protection, convenience, and rapidity. Derrible and Kennedy established vulnerability evaluation indicators such as network redundancy and applied them to complex networks [16] These analyses are only limited to the static analysis of network space and do not take into account the changes of dependent variables caused by the changes of time variables and space variables. Kim et al proposed a fast time simulation method of air traffic network based on spacetime parallelism. Crucitti et al made use of the network efficiency concept to study scale-free networks, and the conclusion which global efficiency can better reflect the response of complex networks to external factors than characteristic path lengths can be drawn [28]. Based on traffic flow redistribution, Su et al proposed a cascading failure model and applied it to the transportation network studies [29]. With the continuous increase of new subway lines, the overall transportation network of the Nanjing subway system will be gradually improved

Hypergraph Space of Nanjing Subway
Matrix Representation of Hypergraphs
Date Collation
Network Space and P Space of Nanjing Subway
Basic Measure of Hypergraph Space
S7 S8 S9
10 S1 S3 S8
Findings
Conclusion
Full Text
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