# Adaptive Self-Scaling Brain-Storm Optimization via a Chaotic Search Mechanism
## 5 Experimental Studies
### Experimental Results and Analysis
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & **F1** & **F3** & **F4** & **F5** & **F6** \\ \cline{2-5}
**Algorithm** & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} \\ \hline BSO & 2.39\(\times 10^{3}\) & 2.42\(\times 10^{2}\) & 6.45\(\times 10^{3}\) & 3.11\(\times 10^{2}\) & 5.55\(\times 10^{2}\) & 4.65\(\times 10^{1}\) & 7.87\(\times 10^{2}\) & 3.87\(\times 10^{1}\) & 6.59\(\times 10^{2}\) + 5.02 \\ CBSO & 2.57\(\times 10^{3}\) & 2.44\(\times 10^{2}\) & 3.59\(\times 10^{2}\) & 2.21\(\times 10^{1}\) & 5.09\(\times 10^{2}\) & 3.55\(\times 10^{1}\) & 7.04\(\times 10^{2}\) + 4.00\(\times 10^{1}\) & 7.01\(\times 10^{2}\) + 6.53 \\ CGSA-P & 1.99\(\times 10^{3}\) & 8.91\(\times 10^{2}\) & 7.64\(\times 10^{3}\) & 5.88\(\times 10^{3}\) & 4.91\(\times 10^{2}\) & 2.01\(\times 10^{1}\) & 7.25\(\times 10^{2}\) + 2.11\(\times 10^{1}\) & 6.49\(\times 10^{2}\) + 3.95 \\ DE & 2.41\(\times 10^{7}\) & 5.16\(\times 10^{6}\) & 7.99\(\times 10^{4}\) & 2.06\(\times 10^{4}\) & 5.97\(\times 10^{2}\) & 3.19\(\times 10^{1}\) & 7.05\(\times 10^{2}\) + 2.14\(\times 10^{1}\) & **6.13\(\times 10^{2}\) + 3.99** \\ WOA & 1.51\(\times 10^{6}\) & 2.16\(\times 10^{5}\) & 1.47\(\times 10^{5}\) & 7.47\(\times 10^{5}\) & 5.66\(\times 10^{2}\) & 2.91\(\times 10^{1}\) & 7.26\(\times 10^{2}\) + 6.55\(\times 10^{1}\) & 6.71\(\times 10^{2}\) + 1.32 \\ ABSO-R & **1.97\(\times 10^{3}\)** & **1.71\(\times 10^{2}\)** & 5.77\(\times 10^{3}\)** & 9.94\(\times 10^{2}\) & 6.02\(\times 10^{2}\) & 1.11\(\times 10^{1}\) & 7.62\(\times 10^{2}\) + 5.91\(\times 10^{2}\) & 6.55\(\times 10^{2}\) + 2.54 \\ ABSO-P & 2.18\(\times 10^{5}\) & 5.14\(\times 10^{2}\) & **3.47\(\times 10^{2}\)** & **2.92\(\times 10^{2}\)** & **4.57\(\times 10^{2}\)** & **1.86\(\times 10^{2}\)** & **6.44\(\times 10^{2}\)** + 2.62\(\times 10^{1}\)** & 6.33\(\times 10^{2}\) + 3.59 \\ \hline \multirow{3}{*}{**Algorithm**} & \multicolumn{2}{c}{**F7**} & \multicolumn{2}{c}{**F8**} & \multicolumn{2}{c}{**F9**} & \multicolumn{2}{c}{**F10**} & \multicolumn{2}{c}{**F11**} \\ \cline{2-5}  & **Mean \(\pm\) Std** & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} \\ \hline BSO & 1.59\(\times 10^{3}\) & 8.91\(\times 10^{1}\) & 1.09\(\times 10^{3}\) & 3.99\(\times 10^{1}\) & 1.09\(\times 10^{4}\) & 2.29\(\times 10^{3}\) & 7.95\(\times 10^{3}\) + 6.77\(\times 10^{2}\) & 1.45\(\times 10^{3}\) + 4.31\(\times 10^{1}\) \\ CBSO & 1.45\(\times 10^{3}\) & 9.44\(\times 10^{1}\) & 8.99\(\times 10^{2}\) & 2.89\(\times 10^{1}\) & 5.01\(\times 10^{3}\) & 6.99\(\times 10^{2}\) & **5.71\(\times 10^{3}\)** + 6.21\(\times 10^{2}\)** & **1.41\(\times 10^{3}\)** + 4.01\(\times 10^{1}\) \\ CGSA-P & **8.88\(\times 10^{2}\)** & **1.92\(\times 10^{1}\)** & 9.41\(\times 10^{2}\) & 2.12\(\times 10^{1}\) & 3.03\(\times 10^{3}\) & 5.87\(\times 10^{2}\) & 5.97\(\times 10^{3}\) + 3.59\(\times 10^{2}\) & 1.51\(\times 10^{3}\) + 6.99\(\times 10^{1}\) \\ DE & 1.24\(\times 10^{3}\) & 8.97\(\times 10^{3}\) & 1.00\(\times 10^{3}\) & 1.32\(\times 10^{4}\) & 4.59\(\times 10^{9}\) & 8.53\(\times 10^{2}\) & 8.21\(\times 10^{3}\) + 3.44\(\times 10^{2}\) & 1.31\(\times 10^{3}\) + 2.84\(\times 10^{1}\) \\ WOA & 1.37\(\times 10^{3}\) & 9.41\(\times 10^{1}\) & 1.09\(\times 10^{3}\) & 2.29\(\times 10^{1}\) & 7.02\(\times 10^{3}\) & 2.51\(\times 10^{3}\) & 6.11\(\times 10^{3}\) + 1.01\(\times 10^{3}\) & 1.52\(\times 10^{2}\) + 2.23\(\times 10^{2}\) \\ ABSO-R & 1.19\(\times 10^{3}\) & 9.89\(\times 10^{3}\) & 8.89\(\times 10^{2}\) & 4.61\(\times 10^{1}\) & 4.10\(\times 10^{3}\) & 7.64\(\times 10^{2}\) & 6.03\(\times 10^{3}\) + 2.94\(\times 10^{2}\) & 1.41\(\times 10^{3}\) + 5.79\(\times 10^{1}\) \\ ABSO-P & 9.97\(\times 10^{2}\) & 1.06\(\times 10^{2}\) & **8.86\(\times 10^{2}\)** & **5.21\(\times 10^{1}\)** & **2.49\(\times 10^{3}\)** + **1.25\(\times 10^{2}\)** & 5.89\(\times 10^{3}\) + 4.41\(\times 10^{2}\) & 1.41\(\times 10^{3}\) + 5.57\(\times 10^{1}\) \\ \hline \multirow{3}{*}{**Algorithm**} & \multicolumn{2}{c}{**F12**} & \multicolumn{2}{c}{**F13**} & \multicolumn{2}{c}{**F14**} & \multicolumn{2}{c}{**F15**} & \multicolumn{2}{c}{**F16**} \\ \cline{2-5}  & **Mean \(\pm\) Std** & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} & \multicolumn{2}{c}{**Mean \(\pm\) Std**} \\ \hline BSO & 1.17\(\times 10^{7}\) & 7