## 5 Numerical Experiment
### Results, Discussion, and Analysis  
Based on the actual train timetable information of the Harbin-Dalian high-speed railway, the algorithm is developed in python language for model solving so as to co-ordinate and plan the transport scheme of 180 freight flows in 15 OD pairs in the downstream direction and analyse the scheme. The results of the freight flow transport scheme under different OD pairs and its analysis are shown as follows. There are 180 freight flows in this case, and the transport scheme and freight flow of different freight flows are obtained, in which some sections of Dalian-Harbin, Anshan-Harbin, and Anshan-Shenyang are summarised in the transport scheme of each freight flow as shown in Table 14. The delay penalty accumulated for the different goods is 4271. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{2}{c}{**GAMS**} & \multicolumn{2}{c}{**Classical GA**} & \multicolumn{2}{c}{**Improved Adaptive GA**} \\ \hline
**Objective** & **Running** & **Objective** & **Running** & **Objective** & **Running** \\
**Value** & **Time (min)** & **Value** & **Time (min)** & **Value** & **Time (min)** \\ \hline
42,311 & 5 & 40,885 & 1 & 42,728 & 1 \\
44,975 & 20 & 41,268 & 3 & 44,387 & 3 \\
44,562 & 60 & 41,451 & 5 & 44,416 & 5 \\
44,657 & 120 & 43,979 & 15 & 44,503 & 15 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Comparison results of GAMS, classical GA, and improved adaptive GA. The idea behind the design of the model is to allocate the express cargo flow according to the different freight demand differences. The analysis of the results of the different sectoral freight flow transport schemes reveals that the solution results are basically in line with the expectations of the model in the following aspects:  
1. Delivery priorities 1. For different categories of express shipments, delivery is generally prioritized for the higher-category shipments with a higher time requirement because of the model's goal of maximizing revenue. In the 8:00-10:00 shipping time period of the Dalian-Harbin section. For example, the time priority for delivery of same-day products (type a) is higher than that of the other two categories. 2. When the cargo flow is small and the train transport capacity and station loading and unloading capacity meet the requirements, different cargo flows under the same OD pair will appear to be merged onto the same train. For example, train DJXX1 of the Dalian-Harbin section can be found to be in line with the above analysis. 3. For express cargoes with different ODs, generally, the greater the length of the section, the higher the transportation benefits will be and the more fully occupied the loading capacity of the train in the whole section will be. For example, in this case study, the distance between Anshan-Shenyang is smaller, and the distribution priority is correspondingly lower. 2. Transportation mode selection The confirmation train is usually the first train of the day. Considering the early departure time of the confirmation train, constraints are set in the model to restrict the train from carrying same-day delivery products in this mode, and the results of this paper satisfy this requirement. In summary, for HSR operators, appropriate transport strategies for each batch of cargo flows can be planned in terms of delivery priorities and transportation mode selection, thus making full use of the remaining capacity of HSR trains and increasing operational revenue.