## 4 Case Study
### Solution of Non-Splittable Model Under Adequate and Insufficient Capacity Scenarios
#### 4.2.2 Transportation Plan (Cargo Flow Path) Results
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Train**} & \multicolumn{3}{c}{**(0, 1)**} & \multicolumn{3}{c}{**(1, 2)**} & \multicolumn{3}{c}{**(2, 3)**} & \multicolumn{3}{c}{**(3, 4)**} \\  & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} \\  & \multicolumn{1}{c}{**Utilization**} & & \multicolumn{1}{c}{**Utilization**} & & & & & \\ \hline
**Unit** & **Ton** & **-** & **Ton** & **-** & **Ton** & **-** & **Ton** & **-** \\ \hline \(I_{1}\) & - & - & - & - & - & - & - & - \\ \(I_{2}\) & 1.2 & 49.38\% & 2.4 & 98.77\% & 2.4 & 98.77\% & 1.2 & 49.38\% \\ \(I_{3}\) & 0 & 0.00\% & 1.2 & 49.38\% & 1.2 & 49.38\% & 0 & 0.00\% \\ \(I_{4}\) & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% \\ \(I_{5}\) & 0 & 0.00\% & 0 & 0.00\% & 2.4 & 98.77\% & 2.4 & 98.77\% \\ \(I_{6}\) & 1.2 & 49.38\% & 1.2 & 49.38\% & 1.2 & 49.38\% & 1.2 & 49.38\% \\ \(I_{7}\) & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% \\ \(I_{8}\) & 1.2 & 49.38\% & 1.2 & 49.38\% & 1.2 & 49.38\% & - & - \\ \(I_{9}\) & 1.2 & 49.38\% & 2.4 & 98.77\% & 1.2 & 49.38\% & 0 & 0.00\% \\ \(I_{10}\) & 0 & 0.00\% & 0 & 0.00\% & 2.4 & 98.77\% & 1.2 & 49.38\% \\ \(I_{11}\) & 1.2 & 49.38\% & 1.2 & 49.38\% & 1.2 & 49.38\% & 0 & 0.00\% \\ \(I_{12}\) & - & - & - & - & - & - & 1.2 & 49.38\% \\ Dedicated train & - & - & - & - & - & - & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 16: A non-splittable model (M3) for scenarios with sufficient transportation capacity: train loading capacity and capacity utilization rate. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Train**} & \multicolumn{3}{c}{**(0, 1)**} & \multicolumn{3}{c}{**(1, 2)**} & \multicolumn{3}{c}{**(2, 3)**} & \multicolumn{3}{c}{**(3, 4)**} \\  & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} & \multicolumn{1}{c}{**Loading**} & \multicolumn{1}{c}{**Capacity**} \\  & \multicolumn{1}{c}{**Utilization**} & & \multicolumn{1}{c}{**Utilization**} & & & & \\ \hline
**Unit** & **Ton** & **-** & **Ton** & **-** & **Unit** & **Ton** & **-** & **Ton** \\ \hline \(I_{1}\) & 9.6 & 34.77\% & 20.4 & 73.89\% & 21.6 & 78.23\% & 12 & 43.46\% \\ \(I_{2}\) & 8.4 & 66.35\% & 9.6 & 75.83\% & 9.6 & 75.83\% & 4.8 & 37.91\% \\ \(I_{3}\) & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% \\ \(I_{4}\) & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 & 98.77\% \\ \(I_{5}\) & 2.4 & 98.77\% & 2.4 & 98.77\% & 2.4 &By analyzing the train load and capacity utilization for both transportation scenarios, the following observations are made:  
Capacity-Sufficient Scenario: In this scenario, the non-splittable model results show that there are eight train segments where no cargo is carried. These empty segments occur exclusively on trains operating under the passenger carry mode, indicating no wasted express freight capacity. Capacity-Constrained Scenario: For this scenario, the non-splittable model does not achieve 100% capacity utilization for most passenger carry trains. However, the results indicate that capacity utilization is relatively balanced across the trains.