## 4 Example Analysis  
### Overview of the Algorithm  
We take the railway transportation network of Shenhua Ordos Coal to Liquid Liquideaction Project as an example, which is located in the ecological protection area of the Yellow River basin and crosses the Taihang Mountains, the Loess Plateau, and the Ordos Basin. It may be affected by natural disasters such as mud rock flow and earthquakes, which may lead to railway transportation accidents. Moreover, the transportation along the line is inconvenient, the terrain is complex, and it is difficult to transfer goods, which may easily lead to secondary disasters. Especially for the trains transporting oil products, because the oil vapor is heavier than the air, it can spread to a relatively far place at a lower elevation, and can easily cause explosions and other secondary disasters in the case of open fire. However, the damage of goods, tanks, tracks, and surrounding buildings caused by dangerous chemical train accidents is extremely difficult to recover in a short time. Emergency rescue resources are limited and scattered, making rescue difficult. The ecology along the railway is fragile, which makes it easy to cause production environment pollution and ecological disaster for the Yellow River basin water system.  
In this paper, we assume that the damage to the terminal facilities of the railway transportation network is accompanied by the spillage and volatilization of hazardous chemicals, which causes casualties in a certain area and requires the emergency treatment and rescue of the disaster site. We set a total of 10 rescue points of \(J_{1}\), \(J_{2}\), \(J_{3}\), \(J_{4}\), \(J_{5}\), \(J_{6}\), \(J_{7}\), \(J_{8}\), \(J_{9}\), and \(J_{10}\) in the disaster surrounding and a command center K\({}_{1}\) involved in the rescue, for a total of five incident points of \(I_{1}\), \(I_{2}\), \(J_{3}\), \(I_{4}\), and \(I_{5}\) and seven kinds of core material needs.  
Each incident location requires different amounts of rescue materials to be dispatched. Among them, material 1, material 2, material 3, material 4, and material 5 are dispatched based on the weight of the number of people trapped, material 6 is dispatched based on the rescue of hazardous material leakage, and material 1, material 2, material 3, and material 7 are dispatched based on the priority of the zone. The following figure shows the type of supplies and the number of reserves contained in each rescue point and command center (Figure 2).  
The cost and time of transporting supplies from the rescue point to the incident point varies, and the cost and time of transporting various supplies from the rescue point to the disaster area with the command center is shown in the figure below (Figure 3, Figure 4, Figure 5). In which, the x-axis and y-axis of each bar chart represent the corresponding rescue point and disaster area, and the height of z-axis represents the transportation cost or time cost of the corresponding material delivery.  
Figure 2: Types and reserves of materials contained in each rescue center and command center.  
Figure 4: Time cost of transporting various materials from each rescue point to each disaster-stricken point.  
Figure 3: Transportation cost of various materials transported from each rescue point to each disaster-stricken point.