## 3 Results Analysis and Discussion
### Example Verification
#### 3.1.3 Engineering Applications
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Operation Number** & **Scheme** & \(\widetilde{d}_{i}\)_/mois_ & \(\widetilde{C}_{i}\)_/m\(\mathbf{\lessdot}\)_ & \(\widetilde{q}\) \\ \hline \multirow{2}{*}{1} & 1 & (1, 2, 3) & (7,575,757; 8,333,333; 9,090,909) & (0.90, 0.92, 0.94) \\  & 2 & (2, 3, 4) & (6,666,666; 7,272,727; 7,878,787) & (0.88, 0.89, 0.90) \\ \hline \multirow{2}{*}{2} & 1 & (3, 4, 5) & (9,242,424; 10,151,515; 11,060,606) & (0.83, 0.86, 0.89) \\  & 2 & (4, 5, 6) & (8,636,363; 9,393,939; 10,151,515) & (0.74, 0.76, 0.78) \\ \hline \multirow{3}{*}{3} & 1 & (2, 3, 4) & (8,484,848; 8,939,393; 9,393,939) & (0.70, 0.72, 0.74) \\  & 2 & (3, 4, 5) & (7,878,787; 8,333,333; 8,787,878) & (0.81, 0.82, 0.83) \\  & 3 & (4, 5, 6) & (7,272,727; 7,727; 8,181,818) & (0.78, 0.80, 0.82) \\ \hline \multirow{3}{*}{4} & 1 & (2, 3, 4) & (3,484,848; 3,787,878; 4,090,909) & (0.85, 0.86, 0.87) \\  & 2 & (3, 4, 5) & (2,878,787; 3,181,818; 3,484,848) & (0.80, 0.83, 0.86) \\ \hline \multirow{3}{*}{5} & 1 & (4, 5, 6) & (6,363,636; 6,818,181; 7,272,727) & (0.92, 0.94, 0.96) \\  & 2 & (5, 6, 7) & (5,606,060; 6,060; 6,515,151) & (0.87, 0.89, 0.91) \\ \hline \multirow{3}{*}{6} & 1 & (1, 2, 3) & (5,454,545; 5,757,575; 6,060,606) & (0.75, 0.77, 0.79) \\  & 2 & (2, 3, 4) & (4,924,242; 5,303,030; 5,681,818) & (0.96, 0.97, 0.98) \\  & 3 & (3, 4, 5) & (4,621,212; 4,848,484; 5,075,757) & (0.91, 0.92, 0.93) \\ \hline \multirow{3}{*}{7} & 1 & (7, 8, 9) & (8,181,818; 8,484,848; 8,787,878) & (0.78, 0.79, 0.80) \\  & 2 & (9, 10, 11) & (7,500,000; 7,727,272; 7,954,545) & (0.76, 0.77, 0.78) \\  & 3 & (10, 12, 14) & (6,818,181; 6,969,696; 7,121,212) & (0.70, 0.73, 0.76) \\ \hline \multirow{3}{*}{8} & 1 & (1, 2, 3) & (5,303,030; 5,454,545; 5,606,060) & (0.86, 0.87, 0.88) \\  & 2 & (2, 3, 4) & (4,848,484; 5,000,000; 5,151,515) & (0.84, 0.85, 0.86) \\  & 3 & (3, 4, 5) & (3,636,363; 4,545,454; 5,454,545; 5,4545) & (0.80, 0.82, 0.84) \\ \hline \multirow{3}{*}{9} & 1 & (1, 2, 3) & (2,348,484; 2,878,787; 3,409,090) & (0.97, 0.98, 0.99) \\  & 2 & (2, 3, 4) & (1,742,424; 2,121,212; 2,500,000) & (0.94, 0.96, 0.98) \\ \hline \multirow{3}{*}{10} & 1 & (1, 2, 3) & (3,106,060; 3,787,878; 4,469,696) & (0.88, 0.90, 0.92) \\  & 2 & (2, 3, 4) & (2,954,545; 3,333,333; 3,863,636) & (0.86, 0.88, 0.90) \\ \hline \multirow{3}{*}{11} & 1 & (1, 2, 3) & (757,575; 909,090; 1,060,606) & (0.91, 0.94, 0.97) \\  & 2 & (2, 3, 4) & (454,545; 606,060; 757,575) & (0.79, 0.83, 0.87) \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Relevant parameters and data of each operation (for the engineering application of the concrete-face rockfill dam project). \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Solution Number** & **Duration/Month** & **Cost/USS** & **Quality** \\ \hline
1 & 43 & 82,575,757 & 0.8032 \\
2 & 41 & 83,787,878 & 0.8145 \\
3 & 40 & 84,545,454 & 0.8280 \\
4 & 38 & 85,606,060 & 0.8316 \\
5 & 37 & 86,666,666 & 0.8457 \\
6 & 36 & 87,727,272 & 0.8621 \\
7 & 34 & 88,484,848 & 0.8658 \\
8 & 32 & 89,696,969 & 0.8796 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Optimization result data of concrete-face rockfill dam project.