In order to solve the vulnerability problem of the integrated energy system in the transportation industry, a vulnerability cascade propagation model based on the Petri net is proposed. The article comprehensively considers the configuration of the energy system, constructs the cascade propagation-based function Petri net model using a hierarchical modelling approach, and performs vulnerability cascade propagation analysis using Matlab on this basis. However, the integrated energy system of the transportation industry is complex and extensive, and it is not easy to model the Petri network of the whole transportation industry, which will be continued in-depth in the subsequent research. The study results show that the energy system’s vulnerability keeps changing with the growth of time, and the factors in maintaining the equilibrium vary from one subsystem to another. In addition, the ringed structure is more vulnerable compared to the acyclic structure, and the vulnerability cascade propagates faster for the ringed structure than the acyclic structure. The results of the study contribute to the scientific development of integrated energy system planning and construction for the transportation industry and provide a reference for the rehabilitation and construction of energy systems.

The logistics industry has an irreplaceable role in promoting Chinese economic development, and its carbon emissions have become a hot topic of academic research. However, more research needs to be conducted on this. This study is based on establishing an evaluation index system for the efficiency of energy carbon emissions in the Chinese logistics industry. The catastrophe progression method was used to evaluate this statically. A dynamic evaluation model was also established based on the characteristics of fuzzy rewards and punishments. The results showed that the static values in the southeastern provinces of China were always between 0.9 and 1, and there was a significant increase in the dynamic values under the fuzzy reward and punishment scenario. Provinces in the southwest fluctuated between 0.8 and 0.95, while the dynamic values did not increase much. In the northern provinces, the static assessment values were consistently between 0.7 and 0.9, while the dynamic values were decreasing. It is therefore important to reward provinces with high static assessment values and penalize those with low static assessment values. The perspective of the characteristics of fuzzy rewards and punishments is also essential for fair and equitable management, reward and punishment in the different provinces in the study.

The structural characteristics and robustness of subway networks are important for improving the safety and efficiency of subway operations. Based on complex network theory, this study analyzed the structural characteristics of the Hefei subway network and evaluated its robustness after suffering from accidents. Specifically: (1) A model of the Hefei subway network was established using the space-L method, and its topological structural characteristics were quantitatively analyzed; (2) An improved cascading failure simulation model was established, and a node importance evaluation system was developed to identify the critical nodes in the Hefei subway network; (3) A simulation analysis was conducted to evaluate the robustness of the Hefei subway network under different scenarios. The results show that the Hefei subway network is different from a scale-free network and small-world network, and the structure was most severely damaged when facing attacks against critical nodes in the cascading failure scenario. Moreover, as the value of the parameter of the control node capacity in the cascade failure model varied, the degree of damage to the subway network also varied considerably. We believe that the results obtained from the study could provide a reference for the construction and planning of the subway network.

Based on complex networks and resilience theory, the structural characteristics and post-disaster performance recovery process of the urban metro network are studied to determine the best repair strategy for metro network performance under different scenarios. Specifically: (1) The space-L method is used to model the Hangzhou metro network, and MATLAB software is used to calculate the characteristic parameter values of the Hangzhou metro network structure; (2) A model of the post-disaster resilience of the Hangzhou metro network was constructed, and network efficiency was used as the evaluation index of the resilience level and resilience of the metro network; (3) The performance recovery process of the metro network under different scenarios was simulated and the optimal recovery strategy of the post-disaster metro network was obtained. The results show that the degree values of the Hangzhou metro network nodes are all generally low; the average passage path between nodes is long and the nodes are scattered, which makes the convenience of residents’ travel low. In addition, the degree index and the betweenness have some influence on the recovery order of the failed nodes. Finally, the genetic algorithm solves the post-disaster optimal recovery strategy of the metro network with good results.