## 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 \hline  & **F1** & & **F2** & **F3** & \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{2.1933\times 104}\) & \(\mathbf{2.2253\times 10^{4}}\) & \(2.4396\times 10^{21}\) & \(9.2127\times 10^{21}\) & \(6.1219\times 10^{4}\) & \(\mathbf{3.5196\times 10^{3}}\) \\ PSO & \(1.0374\times 10^{9}\) & \(1.2399\times 10^{9}\) & \(6.8887\times 10^{30}\) & \(3.7723\times 10^{31}\) & \(1.1502\times 10^{5}\) & \(3.8991\times 10^{4}\) \\ DE & \(5.1095\times 10^{9}\) & \(1.8305\times 10^{9}\) & \(1.7854\times 10^{37}\) & \(9.6817\times 10^{37}\) & \(2.6127\times 10^{5}\) & \(7.1828\times 10^{4}\) \\ GA & \(4.9827\times 10^{10}\) & \(1.6541\times 10^{10}\) & \(2.5210\times 10^{31}\) & \(5.4317\times 10^{31}\) & \(2.8484\times 10^{5}\) & \(5.7385\times 10^{4}\) \\ GWO & \(1.4356\times 10^{10}\) & \(4.1652\times 10^{9}\) & \(1.9597\times 10^{37}\) & \(7.4719\times 10^{37}\) & \(6.2312\times 10^{4}\) & \(8.7433\times 10^{3}\) \\ WOA & \(5.2771\times 10^{10}\) & \(2.7584\times 10^{8}\) & \(3.5738\times 10^{39}\) & \(6.4996\times 10^{39}\) & \(9.0248\times 10^{4}\) & \(1.1754\times 10^{4}\) \\ RIME & \(1.1051\times 10^{6}\) & \(6.1015\times 10^{5}\) & \(3.6374\times 10^{32}\) & \(1.5265\times 10^{33}\) & \(1.6754\times 10^{5}\) & \(2.9168\times 10^{4}\) \\ SABO & \(3.3206\times 10^{9}\) & \(2.8103\times 10^{9}\) & \(1.0191\times 10^{40}\) & \(4.8863\times 10^{40}\) & \(1.2342\times 10^{5}\) & \(2.9425\times 10^{4}\) \\ QSMFO & \(2.1009\times 10^{9}\) & \(1.1516\times 10^{9}\) & \(9.5503\times 10^{29}\) & \(5.2109\times 10^{30}\) & \(6.7376\times 10^{4}\) & \(1.2012\times 10^{4}\) \\ CLACO & \(3.0675\times 10^{6}\) & \(1.2035\times 10^{6}\) & \(\mathbf{5.9048\times 10^{12}}\) & \(\mathbf{6.8204\times 10^{12}}\) & \(\mathbf{4.0549\times 10^{4}}\) & \(1.4574\times 10^{4}\) \\ GBSMA & \(4.0262\times 10^{6}\) & \(1.3219\times 10^{6}\) & \(7.0249\times 10^{16}\) & \(9.5988\times 10^{16}\) & \(5.0456\times 10^{4}\) & \(1.9200\times 10^{4}\) \\ MOFOA & \(1.3708\times 10^{7}\) & \(5.7049\times 10^{7}\) & \(1.7082\times 10^{33}\) & \(7.0088\times 10^{33}\) & \(5.9686\times 10^{4}\) & \(2.5339\times 10^{4}\) \\ \hline  & F4 & & F5 & & F6 \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(5.0148\times 10^{2}\) & \(\mathbf{1.5002\times 10^{1}}\) & \(\mathbf{5.8517\times 10^{2}}\) & \(\mathbf{1.2773\times 10^{1}}\) & \(6.0116\times 10^{2}\) & \(8.1538\times 10^{-1}\) \\ PSO & \(6.1316\times 10^{2}\) & \(8.4760\times 10^{1}\) & \(7.2836\times 10^{2}\) & \(5.3817\times 10^{1}\) & \(6.5555\times 10^{2}\) & \(1.2690\times 101\) \\ DE & \(1.2774\times 10^{3}\) & \(4.3559\times 10^{2}\) & \(8.4452\times 10^{2}\) & \(5.7197\times 10^{1}\) & \(6.7916\times 10^{2}\) & \(9.6979\times 100\) \\ GA & \(1.1035\times 10^{4}\) & \(5.0858\times 10^{3}\) & \(1.0167\times 10^{3}\) & \(7.1475\times 10^{1}\) & \(7.1615\times 10^{2}\) & \(1.2046\times 101\) \\ GWO & \(2.5458\times 10^{3}\) & \(9.4491\times 10^{2}\) & \(8.3048\times 10^{2}\) & \(3.9304\times 10^{1}\) & \(6.6958\times 10^{2}\) & \(1.3766\times 101\) \\ WOA & \(5.5569\times 10^{3}\) & \(1.2921\times 10^{2}\) & \(8.6365\times 10^{2}\) & \(2.1006\times 10^{3}\) & \(6.7678\times 10^{2}\) & \(5.6477\times 100\) \\ RIME & \(5.1841\times 10^{2}\) & \(1.8175\times 10^{1}\) & \(6.8840\times 10^{2}\) & \(4.4956\times 10^{1}\) & \(\mathbf{6.0017\times 10^{2}}\) & \(\mathbf{3.4353\times 10^{-2}}\) \\ SABO & \(6.1437\times 10^{2}\) & \(9.1927\times 10^{1}\) & \(6.3167\times 10^{2}\) & \(3.6188\times 10^{1}\) & \(6.1396\times 10^{2}\) & \(4.5371\times 100\) \\ QSMFO & \(7.8114\times 10^{2}\) & \(2.5851\times 10^{2}\) & \(7.0181\times 10^{2}\) & \(2.9046\times 10^{1}\) & \(6.4940\times 10^{2}\) & \(8.8476\times 100\) \\ CLACO & \(\mathbf{4.7403\times 10^{2}}\) & \(3.1313\times 10^{1}\) & \(6.8997\times 10^{2}\) & \(3.2949\times 10^{1}\) & \(6.3143\times 10^{2}\) & \(8.1975\times 100\) \\ GBSMA & \(5.2706\times 10^  
\begin{table}
\begin{tabular}{l l l l l l l} \hline \multicolumn{1}{c}{F7} & \multicolumn{2}{c}{F8} & \multicolumn{2}{c}{F9} \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(9.2969\times 10^{2}\) & \(2.0630\times 10^{1}\) & \(\mathbf{8.8206\times 10^{2}}\) & \(\mathbf{1.1588\times 10^{1}}\) & \(\mathbf{1.1370\times 10^{3}}\) & \(4.9427\times 10^{2}\) \\ PSO & \(1.2128\times 10^{3}\) & \(1.0587\times 10^{2}\) & \(9.7770\times 10^{2}\) & \(2.3574\times 10^{1}\) & \(8.6126\times 10^{3}\) & \(1.5509\times 10^{3}\) \\ DE & \(1.3124\times 10^{3}\) & \(8.5029\times 10^{1}\) & \(1.0730\times 10^{3}\) & \(6.2022\times 10^{1}\) & \(1.1048\times 10^{4}\) & \(3.4590\times 10^{3}\) \\ GA & \(2.1723\times 10^{3}\) & \(3.2267\times 10^{2}\) & \(1.2478\times 10^{3}\) & \(5.0006\times 10^{1}\) & \(1.1425\times 10^{4}\) & \(3.1382\times 10^{3}\) \\ GWO & \(1.1424\times 10^{3}\) & \(6.4035\times 10^{1}\) & \(1.0909\times 10^{3}\) & \(4.1032\times 10^{1}\) & \(7.6505\times 10^{3}\) & \(2.0115\times 10^{3}\) \\ WOA & \(1.3275\times 10^{3}\) & \(2.0132\times 10^{1}\) & \(1.1062\times 10^{3}\) & \(2.0226\times 10^{1}\) & \(1.0315\times 10^{4}\) & \(1.0795\times 10^{3}\) \\ RIME & \(9.6689\times 10^{2}\) & \(\mathbf{1.5678\times 10^{1}}\) & \(9.9259\times 10^{2}\) & \(3.4856\times 10^{1}\) & \(2.2256\times 10^{3}\) & \(\mathbf{4.0278\times 10^{2}}\) \\ SABO & \(9.1464\times 10^{2}\) & \(5.6379\times 10^{1}\) & \(9.0470\times 10^{2}\) & \(2.2065\times 10^{1}\) & \(2.3935\times 10^{3}\) & \(1.0566\times 10^{3}\) \\ QSMFO & \(1.1618\times 10^{3}\) & \(7.0989\times 10^{1}\) & \(9.7827\times 10^{2}\) & \(3.6054\times 10^{1}\) & \(6.8644\times 10^{3}\) & \(1.3862\times 10^{3}\) \\ CLACO & \(9.1294\times 10^{2}\) & \(4.6527\times 10^{1}\) & \(9.3927\times 10^{2}\) & \(2.6927\times 10^{1}\) & \(4.3277\times 10^{3}\) & \(1.5740\times 10^{3}\) \\ GBSMA & \(\mathbf{8.6983\times 10^{2}}\) & \(3.9362\times 10^{1}\) & \(9.1552\times 10^{2}\) & \(2.9839\times 10^{1}\) & \(3.0513\times 10^{3}\) & \(1.1130\times 10^{3}\) \\ MOFOA & \(1.1352\times 10^{3}\) & \(1.1395\times 10^{2}\) & \(9.3225\times 10^{2}\) & \(2.8250\times 10^{1}\) & \(4.0505\times 10^{3}\) & \(1.2546\times 10^{3}\) \\ \hline  & F10 & & F11 & & F12 & \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{4.2828\times 10^{3}}\) & \(6.4064\times 10^{2}\) & \(\mathbf{1.2463\times 10^{3}}\) & \(\mathbf{3.8981\times 10^{1}}\) & \(\mathbf{1.2447\times 10^{6}}\) & \(\mathbf{8.6153\times 10^{5}}\) \\ PSO & \(6.0783\times 10^{3}\) & \(1.0073\times 10^{3}\) & \(1.8035\times 10^{3}\) & \(4.3925\times 10^{2}\) & \(1.7595\times 10^{7}\) & \(1.6609\times 10^{7}\) \\ DE & \(7.5964\times 10^{3}\) & \(\mathbf{3.4400\times 10^{2}}\) & \(1.1218\times 10^{4}\) & \(4.7194\times 10^{3}\) & \(4.3472\times 10^{8}\) & \(2.9425\times 10^{8}\) \\ GA & \(4.5056\times 10^{3}\) & \(8.1843\times 10^{2}\) & \(2.4795\times 10^{4}\) & \(9.7912\times 10^{2}\) & \(1.3814\times 10^{8}\) & \(2.5819\times 10^{9}\) \\ GWO & \(8.8892\times 10^{3}\) & \(4.4488\times 10^{2}\) & \(5.5759\times 10^{3}\) & \(1.8585\times 10^{3}\) & \(8.7132\times 10^{8}\) & \(5.7328\times 10^{8}\) \\ WOA & \(9.1445\times 10^{3}\) & \(4.1068\times 10^{2}\) & \(2.5344\times 10^{4}\) & \(6.0007\times 10^{3}\) & \(9.8850\times 10^{9}\) & \(9.4561\times 10^{7}\) \\ RIME & \(7.6757\times 10^{3}\) & \(8.0881\times 10^{2}\) & \(1.8265\times 10^{3}\) & \(3.0893\times 10^{2}\) & \(3.7237\times 10^{7}\) & \(1.8648\times 10^{7}\) \\ SABO & \(8.5300\times 10^{3}\) & \(1.0504\times 10^{3}\) & \(2.6138\times 10^{3}\) & \(1.2015\times 10^{4}\) & \(5.5632\times 10^{9}\) & \(1.1342\times 10^{8}\) \\ QSMFO & \(8.4955\times 10^{3}\) & \(8.5677\times 10^{2}\) & \(1.3905\times 10^{3}\) & \(1.2317\times 10^{2}\) & \(1.7383\times 10^{7}\) & \(1.6605\times 10^{7}\) \\ CLACO & \(4.7715\times 10^{3}\) & \(6.7327\times 10^{2}\) & \(1.2897\times 10^{3}\) & \(8.1450\times 10^{1}\) & \(3.1885\times 10^{6}\) & \(2.1386\times 10^{6}\) \\ GBSMA & \(4.8102\times 10^{3}\) & \(6.8812\times 10^{2}\) & \(1.3323\times 10^{3}\) & \(4.9737\times 10^{1}\) & \(1.6220\times 10^{7}\) & \(1.4288\times 10^{7}\) \\ MOFOA & \(5.5369\times 10^{3}\) & \(8.4991\times 10^{2}\) & \(1.3491\times 10^{3}\) & \(2.3141\times 10^{2}\) & \(1.4338\times 10^{6}\) & \(1.4434\times 10^{6}\) \\ \hline  & F13 & & F14 & & F15 & \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{2.5515\times 10^{4}}\) & \(2.1349\times  
\begin{table}
\begin{tabular}{l l l l l l l} \hline \multicolumn{1}{c}{} & \multicolumn{1}{c}{F16} & \multicolumn{1}{c}{F17} & \multicolumn{1}{c}{F18} \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{2.4310\times 10^{3}}\) & \(2.7776\times 10^{2}\) & \(\mathbf{2.0723\times 10^{3}}\) & \(2.1126\times 10^{2}\) & \(1.4183\times 10^{6}\) & \(4.3452\times 10^{5}\) \\ PSO & \(3.0098\times 10^{3}\) & \(3.7055\times 10^{2}\) & \(2.3624\times 10^{3}\) & \(2.4549\times 10^{2}\) & \(2.9849\times 10^{6}\) & \(4.2654\times 10^{6}\) \\ DE & \(4.2364\times 10^{3}\) & \(7.4903\times 10^{2}\) & \(2.1945\times 10^{3}\) & \(\mathbf{1.0216\times 10^{2}}\) & \(2.3048\times 10^{7}\) & \(2.8803\times 10^{7}\) \\ GA & \(4.6939\times 10^{3}\) & \(6.1868\times 10^{2}\) & \(2.1976\times 10^{3}\) & \(2.2014\times 10^{2}\) & \(2.6407\times 10^{7}\) & \(3.3508\times 10^{7}\) \\ GWO & \(4.0919\times 10^{3}\) & \(2.2891\times 10^{2}\) & \(2.8521\times 10^{3}\) & \(2.0374\times 10^{2}\) & \(6.0175\times 10^{6}\) & \(7.8567\times 10^{6}\) \\ WOA & \(8.9062\times 10^{3}\) & \(1.9477\times 10^{3}\) & \(2.4279\times 10^{4}\) & \(1.6776\times 10^{4}\) & \(1.0283\times 10^{7}\) & \(1.7853\times 10^{6}\) \\ RIME & \(3.0026\times 10^{3}\) & \(\mathbf{1.6919\times 10^{2}}\) & \(2.7520\times 10^{3}\) & \(3.4184\times 10^{2}\) & \(3.3062\times 10^{6}\) & \(2.2653\times 10^{6}\) \\ SABO & \(2.5897\times 10^{3}\) & \(2.9668\times 10^{2}\) & \(3.3441\times 10^{3}\) & \(4.1853\times 10^{2}\) & \(1.6698\times 10^{6}\) & \(1.8219\times 10^{6}\) \\ QSMFO & \(3.4653\times 10^{3}\) & \(3.2794\times 10^{2}\) & \(2.3739\times 10^{3}\) & \(2.6183\times 10^{2}\) & \(1.5622\times 10^{6}\) & \(\mathbf{3.0023\times 10^{5}}\) \\ CLACO & \(2.8586\times 10^{3}\) & \(2.8507\times 10^{2}\) & \(2.2694\times 10^{3}\) & \(1.4860\times 10^{2}\) & \(1.2447\times 10^{6}\) & \(1.3364\times 10^{6}\) \\ GBSMA & \(2.8338\times 10^{3}\) & \(2.9254\times 10^{2}\) & \(2.2222\times 10^{3}\) & \(2.1668\times 10^{2}\) & \(\mathbf{3.2023\times 10^{5}}\) & \(1.2828\times 10^{6}\) \\ MOFOA & \(2.9941\times 10^{3}\) & \(4.0675\times 10^{2}\) & \(2.4128\times 10^{3}\) & \(3.2043\times 10^{2}\) & \(3.6235\times 10^{5}\) & \(1.5784\times 10^{6}\) \\ \hline  & F19 & & F20 & & F21 & \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(\mathbf{7.6499\times 10^{3}}\) & \(\mathbf{6.5555\times 10^{3}}\) & \(\mathbf{2.4066\times 10^{3}}\) & \(1.4461\times 10^{2}\) & \(\mathbf{2.3775\times 10^{3}}\) & \(2.4169\times 10^{1}\) \\ PSO & \(3.7651\times 10^{4}\) & \(5.1006\times 10^{4}\) & \(2.6759\times 10^{3}\) & \(2.3411\times 10^{2}\) & \(2.4868\times 10^{3}\) & \(5.2382\times 10^{1}\) \\ DE & \(2.4940\times 10^{7}\) & \(2.4503\times 10^{7}\) & \(2.8637\times 10^{3}\) & \(2.4033\times 10^{2}\) & \(2.6631\times 10^{3}\) & \(4.9489\times 10^{1}\) \\ GA & \(3.9131\times 10^{8}\) & \(4.0324\times 10^{8}\) & \(3.3074\times 10^{3}\) & \(2.6114\times 10^{2}\) & \(2.8315\times 10^{3}\) & \(5.5491\times 10^{1}\) \\ GWO & \(7.2239\times 10^{6}\) & \(5.5667\times 10^{6}\) & \(3.1064\times 10^{3}\) & \(\mathbf{1.3302\times 10^{2}}\) & \(2.5980\times 10^{3}\) & \(3.4620\times 10^{1}\) \\ WOA & \(1.4356\times 10^{8}\) & \(7.3293\times 10^{6}\) & \(3.0260\times 10^{3}\) & \(1.8563\times 10^{2}\) & \(2.6458\times 10^{3}\) & \(\mathbf{2.1467\times 10^{1}}\) \\ RIME & \(5.6148\times 10^{5}\) & \(4.3506\times 10^{5}\) & \(2.5305\times 10^{3}\) & \(1.9564\times 10^{2}\) & \(2.4906\times 10^{3}\) & \(3.6339\times 10^{1}\) \\ SABO & \(3.8317\times 10^{6}\) & \(8.4477\times 10^{6}\) & \(2.4366\times 10^{3}\) & \(1.5118\times 10^{2}\) & \(2.4170\times 10^{3}\) & \(3.5004\times 10^{1}\) \\ QSMFO & \(1.4293\times 10^{4}\) & \(1.2085\times 10^{4}\) & \(2.6935\times 10^{3}\) & \(1.7995\times 10^{2}\) & \(2.4898\times 10^{3}\) & \(3.6692\times 10^{1}\) \\ CLACO & \(8.1096\times 10^{3}\) & \(9.2642\times 10^{3}\) & \(2.6207\times 10^{3}\) & \(1.6306\times 10^{2}\) & \(2.4696\times 10^{3}\) & \(3.3569\times 10^{1}\) \\ GBSMA & \(1.9362\times 10^{4}\) & \(1.7485\times 10^{4}\) & \(2.5444\times 10^{3}\) & \(1.4011\times 10^{2}\) & \(2.4301\times 10^{3}\) & \(2.6380\times 10^{1}\) \\ MOFOA & \(1.1439\times 10^{4}\) & \(8.9838\times 10^{3}\) & \(2.7057\times 10^{3}\) & \(2.1425\times 10^{2}\) & \(2.4446\times 10^{3}\) & \(3.4623\times 10^{1}\) \\ \hline  & F22 & & F23 & & F24 & \\ \hline  & AVG & STD & AVG & STD & AVG & STD \\ \hline MISAO & \(3.9161\times 10^{3}