## 4 Examples
### Three-Bay Two-Story Framework
#### 4.1.1 Parameter Tuning in PFAM for the Three-Bay Two-Story Framework
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & & \(m\) & & \\ \cline{3-6}  & & **0.1** & **1** & **2** & **3** & **4** \\ \hline \multirow{6}{*}{\(t_{c}\)} & 0.1 & **1.28** & **1.44** & **1.42** & 2.09 & 1.81 \\ \cline{2-6}  & 0.3 & 1.55 & 1.97 & **1.39** & 2.19 & 1.50 \\ \cline{2-6}  & 0.5 & 1.61 & 1.96 & 1.62 & 2.39 & 2.65 \\ \cline{2-6}  & 0.7 & 33.54 & 30.80 & 40.10 & 57.53 & 77.53 \\ \cline{2-6}  & 0.9 & 266.93 & 245.71 & 161.07 & 119.86 & 51.44 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Three-bay two-story framework with EEP2 semi-rigid connections. Sensitivity analysis for \(t_{c}\) and \(m\). Standard deviation. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & & \(\gamma_{0}\) & & \\ \cline{3-6}  & & **0.01** & **0.1** & **1** & **10** & **100** \\ \hline \multirow{6}{*}{\(\alpha_{0}\)} & 0.3 & 0.986493 & 0.982331 & 0.995845 & 0.999307 & 0.999308 \\ \cline{2-6}  & 0.4 & 0.985612 & 0.983652 & 0.991808 & **0.99444** & 0.999239 \\ \cline{2-6}  & 0.5 & 0.979556 & 0.991716 & 0.999222 & 0.999210 & 0.999225 \\ \cline{2-6}  & 0.6 & 0.976846 & 0.988560 & 0.999291 & 0.999396 & 0.999380 \\ \cline{2-6}  & 0.7 & 0.986101 & 0.993526 & 0.999215 & 0.999200 & 0.999343 \\ \cline{2-6}  & 0.8 & 0.995233 & 0.989365 & 0.999282 & 0.999277 & 0.999291 \\ \cline{2-6}  & 0.9 & 0.987816 & 0.993768 & 0.999153 & 0.999281 & 0.999218 \\ \cline{2-6}  & 1.0 & 0.982179 & 0.997174 & 0.999199 & 0.999186 & **0.999426** \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Three-bay two-story framework with EEP2 semi-rigid connections. Sensitivity analysis for \(\alpha_{0}\) and \(\gamma_{0}\). Accuracy. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & & \(\gamma_{0}\) & & \\ \cline{3-6}  & & **0.01** & **0.1** & **1** & **10** & **100** \\ \hline \multirow{6}{*}{\(\alpha_{0}\)} & 0.3 & 101.94 & 111.36 & 51.51 & 2.05 & 2.00 \\ \cline{2-6}  & 0.4 & 110.38 & 112.20 & 73.18 & 1.71 & 1.79 \\ \cline{2-6}  & 0.5 & 160.42 & 89.93 & 1.97 & 1.64 & 2.11 \\ \cline{2-6}  & 0.6 & 132.91 & 101.12 & 2.33 & 1.78 & 1.91 \\ \cline{2-6}  & 0.7 & 130.83 & 64.21 & 2.01 & **1.44** & 1.75 \\ \cline{2-6}  & 0.8 & 56.41 & 84.66 & 1.80 & **1.47** & 1.65 \\ \cline{2-6}  & 0.9 & 85.31 & 65.29 & 1.84 & 1.54 & 2.01 \\ \cline{2-6}  & 1.0 & 128.09 & 42.95 & 1.85 & 1.60 & **1.44** \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Three-bay two-story framework with EEP2 semi-rigid connections. Sensitivity analysis for \(\alpha_{0}\) and \(\gamma_{0}\). Standard deviation. In Table 8, the maximum accuracy values have been highlighted in bold, as have the minimum values of standard deviation (below 1.5) in Table 9. The values of parameter \(\gamma_{0}\) below 1 produced poor results regardless of the value of parameter \(\alpha_{0}\). In summary, after performing these sensitivity analyses, the following was observed:  
1. the selected values of parameters \(nt\) = 250 and \(k_{max}\) = 100 produced good metric results with low computational cost;
2. parameter \(t_{c}\) affected the exploration and exploitation phases of the algorithm, obtaining good metric values when its values were reduced to around \(t_{c}\) = 0.1;
3. the values of \(m\) close to the unit produced good metric values for low values of \(t_{c}\); and
4. the values of parameter \(\gamma_{0}\) greater than the unit produced good metric values regardless of the parameter \(\alpha_{0}\) value adopted. After these first results, the influence of the algorithm's number of independent runs on the metrics was studied. Ten cases were considered, which are included in Table 10. The parameter values adopted in all the cases were the following: \(\beta_{0}\) = 1, \(nt\) = 250, \(k_{max}\) = 100, \(t_{c}\) = 0.1, \(\alpha_{0}\) = 1.0, \(\gamma_{0}\) = 10, and \(m\) = 2. Table 10 shows that the number of independent runs had very little effect on the results of the metrics, so 50 independent runs were carried out in the following sensitivity analyses.