## 5 Numerical Experiments
### Large-Scale Case Study
\begin{table}
\begin{tabular}{l c c c c c c c c c c c c c} \hline \hline
**Origality/Terminal** & **Beijing South** & **Langling** & **Tinja** & **Conghue West** & **Dehue East** & **Jana West** & **Tian** & **Quite East** & **Tenghue** & **Zhoushous** & **Xuhon East** & **Suthoe East** \\ \hline
**Being South** & - & 701 & 4427 & 1843 & 1860 & 3901 & 1832 & 236 & 273 & 488 & 3266 & 460 \\
**Langle** & - & - & 832 & 548 & 300 & 300 & 98 & 300 & 69 & 104 & 121 & 100 \\
**Tinja** & - & - & - & 1315 & 142 & 2301 & 613 & 1424 & 176 & 238 & 2235 & 280 \\
**Conghue West** & - & - & - & 219 & 294 & 88 & 88 & 10 & 44 & 196 & 21 \\
**Dehue East** & - & - & - & - & 832 & 284 & 232 & 44 & 239 & 219 & 112 \\
**Joint West** & - & - & - & - & - & 1138 & 1140 & 56 & 1227 & 100 & 73 \\
**Tinja** & - & - & - & - & - & - & 284 & 42 & 307 & 723 & 108 \\
**Conghue East** & - & - & - & - & - & - & - & 28 & 175 & 279 & 488 \\
**Tinghue** & - & - & - & - & - & - & - & - & - & 52 & 125 & 53 \\
**Zhoushous** & - & - & - & - & - & - & - & - & - & - & 394 & 284 \\
**Xuhon East** & - & - & - & - & - & - & - & - & - & - & - & 416 \\
**Subbase East** & - & - & - & - & - & - & - & - & - & - & - & - & - \\ \hline
**Origality/Definitions** & **Beijing South** & **Dinggwan** & **Chububub** & **Nampling South** & **Dinggwan North** & **Chububub North** & **Nutional East** & **Suthoe North** & **Kanska South** & **Hongjia** \\ \hline
**Dehue South** & 789 & 249 & 411 & 328 & 416 & 28 & 657 & 952 & 355 & 146 & 1302 \\
**Langle** & 113 & 41 & 275 & 416 & 101 & 62 & 108 & 107 & 102 & 100 & 1243 \\
**Tinja South** & 1072 & 77 & 279 & 136 & 284 & 160 & 306 & 338 & 240 & 200 & 1171 \\
**Conghue West** & 109 & 12 & 21 & 394 & 65 & 14 & 112 & 112 & 87 & 65 & 1083 \\
**Dehue East** & 125 & 57 & 105 & 394 & 109 & 53 & 133 & 132 & 112 & 112 & 973 \\
**Joint West** & 100 & 54 & 402 & 564 & 307 & 46 & 45 & 476 & 352 & 132 & 840 \\
**Conghue East** & 20 & 21 & 543 & 131 & 45 & 175 & 178 & 153 & 131 & 360 \\
**Conghue East** & 87 & 10 & 54 & 613 & 131 & 12 & 175 & 173 & 153 & 773 \\
**Zhoushous** & 206 & 10 & 54 & 81 & 47 & 54 & 196 & 197 & 186 & 107 & 677 \\
**Kanska East** & 844 & 187 & 701 & 193 & 578 & 102 & 607 & 840 & 882 & 607 & 614 \\
**Suthoe East** & - & 96 & 802 & 787 & 284 & 307 & 306 & 307 & 173 & 203 & 535 \\
**Benghue South** & - & - & 701 & 896 & 407 & 71 & 72 & 747 & 778 & 707 & 458 \\
**Chububapan** & - & - & - & 71 & 28 & 12 & 27 & 33 & 32 & 36 & 405 \\
**Chububapan** & - & - & - & - & 175 & 133 & 219 & 53 & 152 & 548 & 234 \\
**Zhoushous South** & - & - & - & - & 586 & 230 & 798 & 64 & 679 & 269 & 215 \\
**Zhoushous North** & - & - & - & - & - & 21 & 786 & 21 & 54 & 21 & 190 \\
**Chububapan** & - & - & - & - & - & - & 402 & 398 & 41 & 158 \\
**Chububub** & - & - & - & - & - & - & - & - & 2992 & 1008 & 103 \\
**Suthoe North** & - & - & - & - & - & - & - & - & - & 1205 & 75 \\
**Kanska South** & - & - & - & - & - & - & - & - & - & 40 \\
**Hongjia** & - & - & - & - & - & - & - & - & - & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 12. (a) Passenger demand for each OD pair. (b) Passenger demand for each OD pair. Figure 11: Stop plans for existing trains and additional trains on Beijing-Shanghai railway corridor. Figure 10: Timetables for existing trains and additional trains on Beijing-Shanghai railway corridor. Based on the data above, we implemented a large-scale experiment and obtained a new operational plan for peak periods. In the new operational plan, although the timetables and stop plans for existing trains were unchanged, the passenger distribution for existing trains was optimized to meet passenger demand in peak periods. The capacity-occupancy ratio of existing off-peak trains is 0.79, which rises to 0.8 after optimization. This means that the model can improve the capacity-occupancy ratio for existing trains to meet passenger demand in peak periods. Here, 19,757 passengers' travel demand was not satisfied, and four additional trains were added.