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To improve the market competitiveness of railway transportation in a multimodal transport system, China's local governments have adopted their own freight subsidy policies. This has resulted in a disorderly competition for the China Railway (CR) Express. To address this problem, this study aims to determine a suitable freight subsidy mechanism that considers various influencing factors, such as operating costs, external costs, and transshipment costs of various modes of transportation. A bi-level programming model was developed. The upper-level model aimed to maximize the freight carried by the CR Express through unit subsidy. In contrast, the objective of the lower-level model was to minimize the OD transport cost. The solution to the bi-level model was based on Dijkstra's algorithm and the pattern search algorithm. Taking the freight transport in the Yangtze River Delta and its surrounding areas as an example, we found that when the unit subsidy was increased from 0% to 30%, the proportion of the freight carried by the CR Express increased from 0% to 20% (in terms of the total cargo). When the subsidy was 14.28%, the cargo volume's rate of increase was at its highest, with the proportion of the CR Express being 13.33%. We infer that goods of different time value should have different subsidy values. Furthermore, we also conclude that with an increase in the loading coefficient, the subsidy could be eliminated in a phased manner. [ABSTRACT FROM AUTHOR]

To design the multimodal freight transport network of regional hub seaports, and promote the high-quality development of regional economic integration. Combined with the principal component analysis method, the comprehensive evaluation value of the inland cities is determined. Meanwhile, the gravity model is used to obtain the correlation degree between non-core cities and core cities, and the hinterlands of these core cities are divided. The entropy weight TOPSIS model is applied to select the inland hinterland transshipment cities. Taking the minimum total transport costs as the objective function, the regional hub seaport multimodal freight transport network optimization model with space-time constraints is established, and solved by MATLAB software. Taking the freight transport from Chengdu-Chongqing Economic Zone to Yangtze River Delta as an example, a multimodal freight transport network is constructed. It is calculated that Chengdu and Chongqing can be set as freight consolidation centers, and Changsha, Wuhan, Nanchang, Nanjing, Hangzhou, Hefei, Zhengzhou and Xi'an can be set as transshipment nodes. These non-core cities in the Chengdu-Chongqing Economic Zone can be divided into five groups to achieve effective improvement in transport efficiency through group combined transport. This study gives managerial implications for multimodal transport structure optimization and provides reference for the regional integration development between seaports and hinterlands. • Designing hub seaport multimodal freight transport network can promote regional economic integration. • Hub seaport multimodal freight transport network optimization model with space-time constraints is established. • The gravity model based on principal component analysis and entropy weight TOPSIS model are used. • Multimodal freight transport between the Yangtze River Delta and Chengdu-Chongqing Economic Zone is presented. [ABSTRACT FROM AUTHOR]