# Scenario-Based Emergency Material Scheduling Using V2X Communications
## 4 Experiment
### Parameters
#### 4.2.2 SEMS Scheduling Time  
Based on the optimized solution for maximum fairness, the SEMS algorithm was used to obtain the optimized scheduling time. Table 14 presents the used parameters. The iterative curve for the SEMS scheduling time optimization is shown in Figure 8, and the SEMS scheduling plan is shown in Table 15. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Item**} & \multicolumn{3}{c}{**Chengdu**} & \multicolumn{3}{c}{**Shifang**} & \multicolumn{3}{c}{**Jiangyou**} \\ \cline{2-10}  & **G** & **T** & **W** & **G** & **T** & **W** & **G** & **T** & **W** \\ \hline \multirow{2}{*}{
\begin{tabular}{c} Amt \\ Sat Rate \\ \end{tabular} } & 3517 & 8993 & 16,488 & 10,031 & 3008 & 52,391 & 6514 & 100 & 9952 \\  & 0.6133 & 0.8180 & 0.8919 & 1.0031 & 0.6741 & 0.9667 & 0.8405 & 0.6711 & 0.8117 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Scheduling plan for enhanced Theil model. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Fish**} & **Maximum Number** & **Maximum Number** & **Perceived** & **Congestion** & **Step** \\
**Number** & **of Iterations** & **of Trials** & **Distance** & **Factor** & **Length** \\ \hline
30 & 600 & 50 & 0.01 & 1 & 0.1 \\ \hline \hline \end{tabular}
\end{table} 
Table 14: Parameters used in the SEMS algorithm. We compared the SEMS with the enhanced Theil model, whose optimal objective for the scheduling time is expressed as Equation (13):  
\[f_{2^{\prime}}=\min\!\sum_{r=1}^{R}\sum_{i=1}^{I}\sum_{j=1}^{J}h_{i \
eq i}^{p}t_{i\
eq r}^{p} \tag{13}\]  
The related results of the enhanced Theil model are shown in Figure 9 and Table 16.  
Similarly, Table 17 compares the optimized scheduling time obtained by the SEMS model and the enhanced Theil model. Thus, we compared the optimized scheduling time between the SEMS model and the enhanced Theil model, and then made the following conclusions based on Table 17.  
As shown in Figure 8, the optimized scheduling time by the SEMS model is 28.180 h. We applied the same solution to the enhanced Theil model, and obtained the total scheduling time of 168.190 h. As shown in Figure 9, the optimized solution for the enhanced Theil model is 165.850 h. The total scheduling time achieved by the SEMS and the enhanced Theil model are similar, which shows that the SEMS scheduling time optimization is feasible with the consideration of the scenario coefficient. If the scenario coefficient of emergency material is larger, the emergency material should be delivered to the disaster depot earlier. In the optimized SEMS solution, the scheduling time of emergency material with a larger scenario coefficient is shorter, whereas the enhanced Theil model does not obey this rule. Take Shifang, for example: the scenario coefficient of gauze is more than that of tents, and in the SEMS model the scheduling time of gauze (6.370 h) is much shorter than that of tents (14.100 h). The enhanced Theil model gives an opposite answer, where the scheduling time of gauze is 19.650 h and that of tents is 18.500 h. The reason is that the scenario coefficient of gauze is larger than that of tents, which indicates that the gauze demand is more urgent than the demand for tents. Taking Chengdu as another example, the scenario coefficient of gauze is more than that of tents, and in the \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & \multirow{2}{*}{**Mode**} & \multicolumn{3}{c}{**Chengdu**} & \multicolumn{3}{c}{**Shifang**} & \multicolumn{3}{c}{**Jiangyou**} \\ \cline{3-10}  & & **G** & **T** & **W** & **G** & **T** & **W** & **G** & **T** & **W** \\ \hline \multirow{3}{*}{Xi’an} & Road & 0 & 0 & 2983 & 3999 & 0 & 32,117 & 0 & 0 & 0 \\  & Air & 0 & 6862 & 5602 & 4136 & 0 & 0 & 4451 & 122 & 0 \\ \cline{1-1} \cline{2-10}  & Road & 4509 & 0 & 2755 & 0 & 4233 & 0 & 0 & 0 & 5648 \\ \cline{1-1} \cline{2-10}  & Air & 0 & 0 & 3839 & 0 & 0 & 17,957 & 0 & 0 & 5244 \\ \hline \hline \end{tabular}
\end{table} 
Table 16: Scheduling plan for the enhanced Theil model.