## 3 TIES Method
### Technology Selection  
One of the objectives during the technology evaluation step is to find any combinations of technologies that cause the design variables to reach the target values to meet the requirements. In the previous section, we observed that the wing root chord design variable was not able to reach the target value. Hence, under the condition guaranteeing that the other design variables are within the feasible design space, a few technology combinations were chosen to satisfy the target value for the wing root chord. Finally, with eight technology combinations, it was confirmed that the wing root chord design variable reached the target value, which was 5.3. The selected technology combinations and the final target values are tabulated in Tables 13 and 14, respectively.  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Case** & **MTOW** & **Wing Span** & **Wing Root** & **Wing Loading** & **Power-to-Weight** & **Fuel** \\
**(lb)** & **(ft)** & **Chord (ft)** & **(W/S) (lb/\(f\)\({}^{2}\))** & **(P/W) (hp/lb)** & **(Emiciency** \\ \hline
1 & 2291 & 33.0 & 5.7 & 16 & 0.06 & \\
2 & 2213 & 32.4 & 5.6 & 16 & 0.06 & 14 \\
3 & 2247 & 32.7 & 5.6 & 16 & 0.06 & 15 \\
4 & 2171 & 32.1 & 5.5 & 16 & 0.06 & 15 \\
1 &! &! &! &! &! &! \\
130 & 2187 & 32.2 & 5.5 & 16 & 0.06 & 16 \\
1 &! &! &! &! &! &! \\
253 & 2110 & 31.7 & 5.4 & 16 & 0.05 & 19 \\
254 & 2043 & 31.1 & 5.4 & 16 & 0.05 & 19 \\
255 & 2082 & 31.4 & 5.4 & 16 & 0.05 & 19 \\
256 & 2016 & 30.9 & 5.3 & 16 & 0.05 & 20 \\ \hline \hline \end{tabular}
\end{table}
Table 12: Factorial design result for applicable technologies.  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Case** & **T1** & **T2** & **T3** & **T4** & **T5** & **T6** & **T7** & **T8** \\ \hline
1 & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) \\
2 & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(1\) \\
3 & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(1\) & \(-1\) \\
4 & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(1\) & \(1\) \\ \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) \\
130 & 1 & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(-1\) & \(1\) \\
1 & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) & \(\vdots\) \\
253 & 1 & 1 & 1 & 1 & 1 & 1 & \(-1\) & \(-1\) \\
254 & 1 & 1 & 1 & 1 & 1 & 1 & \(-1\) & \(1\) \\
255 & 1 & 1 & 1 & 1 & 1 & 1 & \(1\) & \(-1\) \\
256 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \(1\) \\ \hline \hline \end{tabular}
\end{table}
Table 11: Factorial design for applicable technologies.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Case** & **Methodology Combinations** \\ \hline
48 & Combination 1: T3, T5, T6, T7, T8 \\
108 & Combination 2: T2, T3, T6, T7, T8 \\
176 & Combination 3: T1, T3, T5, T6, T7, T8 \\
22 & Combination 4: T1, T2, T3, T6, T7, T8 \\
238 & Combination 5: T1, T2, T3, T5, T6, T8 \\
240 & Combination 6: T1, T2, T3, T5, T6, T7, T8 \\
248 & Combination 7: T1, T2, T3, T4, T6, T7, T8 \\
256 & Combination 8: T1, T2, T3, T4, T5, T6, T7, T8 \\ \hline \hline \end{tabular}
\end{table}
Table 13: Technology combinations satisfying root chord length requirements.