# Research on Railway Emergency Resources Scheduling Model under Multiple Uncertainties
## 4 Instance Analysis
### Formatting of Mathematical Components
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline  & & \multicolumn{2}{c}{\(\lambda\)=0.8} & \multicolumn{2}{c}{\(\lambda\)=0.9} & \multicolumn{2}{c}{\(\lambda\)=1} \\ \hline \multirow{4}{*}{\(A_{1}\)} & \(R_{i}\) & \(R_{3}\) & \(R_{6}\) & \(R_{3}\) & \(R_{6}\) & \(R_{3}\) & \(R_{6}\) \\  & \(j_{1}\) & 18 & 32 & 19 & 31 & 19 & 31 \\  & \(j_{2}\) & 8 & 17 & 8 & 17 & 8 & 17 \\  & \(j_{3}\) & 10 & 25 & 11 & 24 & 11 & 24 \\ \hline \multirow{4}{*}{\(A_{2}\)} & \(R_{i}\) & \(R_{1}\) & \(R_{2}\) & \(R_{1}\) & \(R_{2}\) & \(R_{1}\) & \(R_{2}\) \\  & \(j_{1}\) & 20 & 30 & 20 & 30 & 20 & 30 \\ \cline{1-1}  & \(j_{2}\) & 9 & 16 & 9 & 16 & 9 & 16 \\ \cline{1-1}  & \(j_{3}\) & 11 & 24 & 11 & 24 & 11 & 24 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Optimal decision-making quantities under different confidence levels in major accidents \(q_{2}\). \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Rescue Cost** & \(\lambda\)=1 & \(\lambda\)=0.9 & \(\lambda\)=0.8 \\ \hline \multirow{4}{*}{\(A_{1}\)} & \(R_{i}\) & \(R_{2}\) & \(R_{3}\) & \(R_{6}\) & \(R_{2}\) & \(R_{3}\) & \(R_{6}\) \\  & \(j_{1}\) & 33 & 20 & 32 & 31 & 23 & 31 & 23 & 31 \\  & \(j_{2}\) & 17 & 6 & 17 & 17 & 6 & 17 & 6 & 17 \\  & \(j_{3}\) & 26 & 14 & 25 & 25 & 16 & 24 & 25 & 16 & 24 \\ \hline \multirow{4}{*}{\(A_{2}\)} & \(R_{i}\) & \(R_{1}\) & \(R_{4}\) & \(R_{5}\) & \(R_{1}\) & \(R_{4}\) & \(R_{5}\) & \(R_{1}\) & \(R_{4}\) & \(R_{5}\) \\  & \(j_{1}\) & 33 & 31 & 21 & 32 & 31 & 22 & 32 & 31 & 22 \\ \cline{1-1}  & \(j_{2}\) & 17 & 17 & 6 & 17 & 17 & 6 & 17 & 17 & 6 \\ \cline{1-1}  & \(j_{3}\) & 27 & 26 & 12 & 26 & 25 & 14 & 26 & 24 & 15 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Optimal decision-making quantities under different confidence levels in an extraordinarily serious accident \(q_{1}\). \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & & & \multicolumn{2}{c}{\(\lambda\)=0.8} & \multicolumn{2}{c}{\(\lambda\)=0.9} & \multicolumn{2}{c}{\(\lambda\)=1} \\ \hline \multirow{4}{*}{\(A_{1}\)} & \(R_{i}\) & \(R_{2}\) & \(R_{3}\) & \(R_{6}\) & \(R_{2}\) & \(R_{3}\) & \(R_{6}\) & \(R_{2}\) & \(R_{3}\) & \(R_{6}\) \\  & \(j_{1}\) & 33 & 20 & 32 & 31 & 23 & 31 & 31 & 23 & 31 \\  & \(j_{2}\) & 17 & 6 credibility, three different scheduling schemes are obtained under three different credibility conditions. When it is reduced from \(\lambda=1\) to \(\lambda=0.9\), for accident spot \(A_{1}\), the amount of dispatching resources at Shangrao emergency rescue base \(R_{3}\) is reduced, and the amount of dispatching resources at Yingtan emergency rescue base \(R_{2}\) is increased. For accident point \(A_{2}\), the amount of dispatching resources at the Laizhou emergency rescue base \(R_{5}\) was reduced, and the amount of dispatching resources at the Jingdezhen emergency rescue base \(R_{4}\) was increased. When it reduces from \(\lambda=0.9\) to \(\lambda=0.8\), with the relaxation of the restrictions in addition to the changes mentioned above, for accident point \(A_{1}\), the amount of dispatched resources at the Shaowu emergency rescue base \(R_{6}\) is also increased. For accident spot \(A_{2}\), the amount of dispatched resources at the Xiangtang emergency rescue base is increased. These indicate that with the relaxation of the resource reserves, the corresponding amount of transportable resources increases, the decision-making space expands, and the total rescue cost decreases. Therefore, the trade-off between the total cost of rescue and the degree of constraint satisfaction can provide managers with different decision-making schemes.