## 3 Proposed MISAO
### Results Comparisons and Analysis of CEC2017 Benchmark Functions
#### 3.4.2 Comparison and Analysis of Algorithms
\begin{table}
\begin{tabular}{l l l l l l} \hline  & F25 & & F26 & & F27 \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{2.8900\times 10^{3}}\) & \(6.1313\times 10^{0}\) & \(\mathbf{4.1942\times 10^{3}}\) & \(\mathbf{1.4400\times 10^{2}}\) & \(\mathbf{3.2271\times 10^{3}}\) & \(1.6528\times 10^{1}\) \\ PSO & \(2.9778\times 10^{3}\) & \(3.9919\times 10^{1}\) & \(6.3264\times 10^{3}\) & \(1.4005\times 10^{3}\) & \(3.2914\times 10^{3}\) & \(5.1901\times 10^{1}\) \\ DE & \(2.8958\times 10^{3}\) & \(\mathbf{6.0411\times 10^{0}}\) & \(8.5254\times 10^{3}\) & \(1.0374\times 10^{3}\) & \(3.4413\times 10^{3}\) & \(9.2001\times 10^{1}\) \\ GA & \(6.1888\times 10^{3}\) & \(1.2584\times 10^{3}\) & \(1.0211\times 10^{4}\) & \(9.2768\times 10^{2}\) & \(4.2253\times 10^{3}\) & \(2.2631\times 10^{2}\) \\ GWO & \(3.3304\times 10^{3}\) & \(1.5281\times 10^{2}\) & \(8.2500\times 10^{3}\) & \(7.6077\times 10^{2}\) & \(3.4742\times 10^{3}\) & \(8.8325\times 10^{1}\) \\ WOA & \(3.6130\times 10^{3}\) & \(2.6367\times 10^{1}\) & \(8.9393\times 10^{3}\) & \(2.8371\times 10^{2}\) & \(3.6815\times 10^{3}\) & \(3.9853\times 10^{1}\) \\ RIME & \(3.2546\times 10^{3}\) & \(9.7431\times 10^{1}\) & \(5.5874\times 10^{3}\) & \(4.9687\times 10^{2}\) & \(3.2299\times 10^{3}\) & \(\mathbf{4.8377\times 10^{0}}\) \\ SABO & \(3.0194\times 10^{3}\) & \(5.8063\times 10^{1}\) & \(4.7782\times 10^{3}\) & \(3.3793\times 10^{2}\) & \(3.2667\times 10^{3}\) & \(3.2376\times 10^{1}\) \\ QSMFO & \(3.0948\times 10^{3}\) & \(9.1002\times 10^{1}\) & \(6.2775\times 10^{3}\) & \(2.2334\times 10^{3}\) & \(3.3249\times 10^{3}\) & \(1.6419\times 10^{2}\) \\ CLACO & \(2.9098\times 10^{3}\) & \(2.4403\times 10^{1}\) & \(5.6720\times 10^{3}\) & \(5.1888\times 10^{2}\) & \(3.3588\times 10^{3}\) & \(3.1521\times 10^{1}\) \\ GBSMA & \(2.9241\times 10^{3}\) & \(2.1835\times 10^{1}\) & \(5.1608\times 10^{3}\) & \(5.6080\times 10^{2}\) & \(3.2419\times 10^{3}\) & \(1.5749\times 10^{1}\) \\ MOFOA & \(2.9688\times 10^{3}\) & \(5.5997\times 10^{1}\) & \(6.5209\times 10^{3}\) & \(8.6147\times 10^{2}\) & \(3.3214\times 10^{3}\) & \(5.4919\times 10^{1}\) \\ \hline  & F28 & & F29 & & F30 \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{3.2424\times 10^{3}}\) & \(2.8334\times 10^{1}\) & \(\mathbf{3.6660\times 10^{3}}\) & \(2.0021\times 10^{2}\) & \(\mathbf{1.0601\times 10^{4}}\) & \(\mathbf{3.9129\times 10^{3}}\) \\ PSO & \(3.3743\times 10^{3}\) & \(6.1510\times 10^{1}\) & \(4.1743\times 10^{3}\) & \(3.2414\times 10^{2}\) & \(9.5909\times 10^{5}\) & \(9.5392\times 10^{5}\) \\ DE & \(3.8753\times 10^{3}\) & \(2.4378\times 10^{2}\) & \(5.5841\times 10^{3}\) & \(5.5787\times 10^{2}\) & \(7.2547\times 10^{7}\) & \(6.5087\times 10^{7}\) \\ GA & \(7.6307\times 10^{3}\) & \(1.5798\times 10^{3}\) & \(6.5037\times 10^{3}\) & \(1.1108\times 10^{3}\) & \(2.6012\times 10^{8}\) & \(2.4383\times 10^{8}\) \\ GWO & \(4.2757\times 10^{3}\) & \(4.0470\times 10^{2}\) & \(5.6078\times 10^{3}\) & \(4.5327\times 10^{2}\) & \(4.3393\times 10^{7}\) & \(4.2971\times 10^{7}\) \\ WOA & \(5.0587\times 10^{3}\) & \(3.1869\times 10^{1}\) & \(6.6990\times 10^{3}\) & \(3.5520\times 10^{2}\) & \(3.0792\times 10^{9}\) & \(8.7527\times 10^{8}\) \\ RIME & \(3.3039\times 10^{3}\) & \(3.5529\times 10^{1}\) & \(4.1399\times 10^{3}\) & \(\mathbf{1.3268\times 10^{2}}\) & \(5.6943\times 10^{5}\) & \(4.0365\times 10^{5}\) \\ SABO & \(3.4998\times 10^{3}\) & \(1.2305\times 10^{2}\) & \(4.0170\times 10^{3}\) & \(2.0736\times 10^{2}\) & \(1.4405\times 10^{7}\) & \(1.1861\times 10^{7}\) \\ QSMFO & \(3.5605\times 10^{3}\) & \(1.3596\times 10^{2}\) & \(4.1966\times 10^{3}\) & \(2.8036\times 10^{2}\) & \(6.6403\times 10^{5}\) & \(5.6983\times 10^{5}\) \\ CLACO & \(3.2460\times 10^{3}\) & \(\mathbf{2.2766\times 10^{1}}\) & \(4.2828\times 10^{3}\) & \(2.4731\times 10^{2}\) & \(1.5137\times 10^{5}\) & \(8.2389\times 10^{4}\) \\ GBSMA & \(3.2843\times 10^{3}\) & \(3 To enhance the reliability of the experiments and the validity of the Wilcoxon signed-rank test, Figure 5 presents the findings of the Friedman test, which was also employed for comparative analysis alongside the Wilcoxon test.