## 4 Case Study
### Analysis of Results  
Figure 5 shows the convergence curve of the adaptability function while using the ant colony algorithm to solve the DRT based on the reservation scheduling model. The results show that the total cost of system operation gradually decreases with the increase in the number of iterations. The objective function reaches convergence in the 143 rd generation, obtaining the optimal objective value, i.e., the minimum value of the total cost considering the vehicle size and mileage, CNY1519.52. Table 5 shows the scheduling scheme results corresponding to the optimal target value. The vehicle scheduling scheme results show that only 16.67% of the vehicle scale can cover the demand for 180 trips in this time period, with 30 vehicles, 150 empty trips, and 131.95 km of total empty mileage. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Parameter** & **Explanation** & **Value** \\ \hline \(m\) & Total number of ant colonies & 30 \\ \(t_{max}\) & Iteration number & 200 \\ \(Q\) & Total number of pheromones & 200 \\ \(\tau_{0}\) & Initial value of pheromone & 1 \\ \(\rho\) & Pheromone volatility factor & 0.3 \\ \(\tau_{0}\) & Roulete impact factor & 0.5 \\ \(\alpha\) & Pheromone impact factor & 1 \\ \(\beta\) & Inspired function impact factor & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Values of the parameters of the ant colony algorithm. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Task** & **Departure** & **Final** & **Vehicle** & **Departure** \\
**Number** & **Station** & **Station** & **Size** & **Time** \\ \hline
10 & Zhaoxian Road, Huyi Highway & Huyi Highway Double Single Road & Medium & 7:10 \\
11 & Baiyin Road, Huyi Highway & Hongde Road, Huyi Highway & Medium & 7:00 \\
12 & Huyi Highway Hope Road & Zhaoxian Road, Huyi Highway & Small & 7:40 \\
13 & Baiyin Road, Huyi Highway & Yagang Road, Huyi Highway & Large & 8:10 \\
14 & Yagang Road, Huyi Highway & Huyi Highway Bao’an Highway & Large & 7:50 \\
15 & Malu Township & Baiyin Road, Huyi Highway & Large & 8:40 \\
16 & Huyi Highway Double Single Road & Huyi Highway Chenxiang Road & Medium & 9:00 \\
17 & Hongde Road, Huyi Highway & Huyi Highway Chenxiang Road & Small & 7:20 \\
18 & Da Qiaotou & Huyi Highway Bao’an Highway & Large & 8:40 \\
19 & Da Qiaotou & Zhaoxian Road, Huyi Highway & Small & 8:50 \\
20 & Huyi Highway Bao’an Highway & Baiyin Road, Huyi Highway & Small & 7:40 \\
21 & Yagang Road, Huyi Highway & Baiyin Road, Huyi Highway & Large & 8:20 \\
22 & Huyi Highway Chenxiang Road & Huyi Highway Hope Road & Small & 8:30 \\
23 & Yagang Road, Huyi Highway & Huyi Highway Hope Road & Small & 7:50 \\
24 & Huyi Highway Double Single Road & Baiyin Road, Huyi Highway & Medium & 8:10 \\
25 & Huyi Highway Chenxiang Road & Huyi Highway Hope Road & Large & 8:10 \\
26 & Hongde Road, Huyi Highway & Baiyin Road, Huyi Highway & Medium & 8:30 \\
27 & Da Qiaotou & Baiyin Road, Huyi Highway & Medium & 7:10 \\
28 & Da Qiaotou & Shigang & Small & 8:30 \\
29 & Hongde Road, Huyi Highway & Huyi Highway Bao’an Highway & Small & 8:10 \\
30 & Huyi Highway Bao’an Highway & Hongde Road, Huyi Highway & Medium & 7:00 \\ \(\ldots\ldots\) & \(\ldots\ldots\) & \(\ldots\ldots\) & \(\ldots\ldots\) & \(\ldots\ldots\) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: _Cont._Figure 5: The convergence curve of the adaptability function for solving the model.