# Research on Railway Emergency Resources Scheduling Model under Multiple Uncertainties
## 4 Instance Analysis  
### Basic Information  
The jurisdiction of Nanchang Railway (China Railway Nanchang Group Co., Ltd., Nanchang, China) includes the whole of the Jiangxi and Fujian provinces and parts of the Hunan and Hubei provinces and mainly includes two major railway lines: Beijing-Kowloon and Shanghai-Kunming. Additionally, it is located in the core area of the central railway network of China, with an operating mileage of more than 7700 km. It occupies a significant position in the national railway's eight vertical and eight horizontal high-speed railway networks. It connects east and west, running through the north and south as well, and it is also the critical link connecting the Yangtze River Delta in the east and the Pearl River Delta in the south. Moreover, there are 14 emergency rescue bases belonging to Nanchang Railway, and each base is equipped with a rescue train and related rescue materials.  
This paper takes the Nanchang Railway (China Railway Nanchang Group Co., Ltd.) as an example, assuming that the railway lines in the area under the jurisdiction of Nanchang Railway are affected by severe weather and that several natural disasters have occurred, such as a location between Zixi Railway Station and Guangzhou Railway Station and another location between Dongxiang Railway Station and Jinxian Railway Station being greatly affected by a natural disaster. Therefore the experts of the emergency management department of Nanchang Railway have to assess the level of possible emergencies between a major accident \(q_{2}\) and an extraordinarily serious accident \(q_{1}\). The emergency rescue base is needed to dispatch emergency rescue trains to repair the damaged lines. Then obtain the transportation distance from the emergency base to the accident spot through the ArcGIS software calculation, choose the emergency bases to include Xiangtang, Yingtan, Shangrao, Jingdezhen, Laizhou, and Shaowu as the rescue points, and then represent these as \(R_{1}\) to \(R_{6}\). The distances of the rescue bases from the accident spot are shown in Table 2.  
Extraordinarily serious accidents (\(q_{1}\)) and major accidents (\(q_{2}\)) require three types of emergency relief supplies: bulge splints, rails, and sleepers, as shown in Table 3.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \(R_{1}\) & \(R_{2}\) & \(R_{3}\) & \(R_{4}\) & \(R_{5}\) & \(R_{6}\) \\ \hline \(l_{1}^{1}\) & 214,684 & 99,756 & 205,955 & 252,863 & 220,267 & 44,637 \\ \(l_{l}^{2}\) & 64,315 & 49,790 & 158,363 & 201,934 & 368,307 & 193,807 \\ \hline \hline \end{tabular}
\end{table}
Table 2: The length of the rescue path from each emergency rescue base to the accident spot (m).  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Scenario** & \(j_{1}\) & \(j_{2}\) & \(j_{3}\) \\ \hline \(q_{1}\) & 85 & 40 & 65 \\ \(q_{2}\) & 50 & 25 & 35 \\ \hline \hline \end{tabular}
\end{table}
Table 3: The number of rescue materials needed after the accident in different scenarios (items).  
The initial fund \(k\) of the emergency rescue base is 50,000 yuan, and the other relevant economic parameters are shown in Table 4.  
Considering the actual situation, besides the emergency rescue base, other relevant departments also provide part of the emergency rescue resources when a major accident happens. The amount of rescue materials in this model is divided into two parts: the rescue base and the other related rescue departments. Based on the actual situation, the material reserves of the emergency rescue base are divided into three types of reserve status: low, medium, and high, which the probability of occurrence is 0.3, 0.6 and 0.1; then, we used triangular fuzzy numbers to characterize the reserves at different levels. The three types of emergency relief supply reserves of the relevant departments are [6,8,10], [4,5,6], and [6,7,8]. The material reserves of each emergency rescue base are shown in Table 5.