Stability Analysis Method of Public Transport Composite Network Based on Carrying Capacity

In order to comprehensively assess the operational potential of urban public transportation networks and enhance the practical significance of network stability analysis, this study proposes a subway-bus composite network model that incorporates network carrying capacity as the weight of connected edges. Additionally, an analysis and calculation method for network carrying capacity, based on complex network theory, is introduced. The structural stability of the network is investigated through vulnerability and robustness analyses. Firstly, traditional metrics such as node degree, global network efficiency, and the relative size of the largest connected subgraph are employed to identify vulnerable stations and inter-station sections. This identification method considers the result of carrying capacity calculation and quantifies the extent of carrying capacity loss. Furthermore, deliberate attacks are conducted using node carrying capacity as the basis, and a robustness analysis method is proposed, utilizing total network carrying capacity as the evaluation index. To illustrate the practical application of the proposed approaches, the Harbin subway-bus network is employed as a case study for network construction, carrying capacity calculation, and stability analysis. The findings and methodology of this analysis can serve as a reference for emergency measures and risk management in urban public transportation networks. Overall, this research contributes to the advancement of knowledge in the field and provides valuable insights for the planning and management of urban public transportation systems.