# Dynamic Heterogeneous Search-Mutation Structure-Based Equilibrium Optimizer
## 4 Numerical Experiments and Discussion for DHSMEO
### Comparative Test of DHSMEO and Other Algorithms
\begin{table}
\begin{tabular}{c c c c c c c c} \hline  & **Problem** & & **EO** & **RSA** & **SMA** & **HGS** & **DMMAEO** \\ \hline Composition & BF24 & Avg & \(6.000\times 10^{1}\) & \(3.700\times 10^{2}\) & \(7.334\times 10^{1}\) & \(1.433\times 10^{2}\) & \(2.825\times 10^{-7}\) \\  & Std & \(6.215\times 10^{1}\) & \(6.903\times 10^{1}\) & \(7.397\times 10^{1}\) & \(5.683\times 10^{1}\) & \(1.547\times 10^{-6}\) \\  & BF25 & Avg & \(1.303\times 10^{2}\) & \(4.059\times 10^{2}\) & \(2.890\times 10^{1}\) & \(1.598\times 10^{2}\) & \(3.490\times 10^{1}\) \\  & Std & \(5.632\times 10^{1}\) & \(5.751\times 10^{1}\) & \(9.120\times 10^{9}\) & \(7.163\times 10^{1}\) & \(4.469\times 10^{1}\) \\  & BF26 & Avg & \(1.721\times 10^{2}\) & \(8.876\times 10^{2}\) & \(1.914\times 10^{2}\) & \(4.054\times 10^{2}\) & \(1.671\times 10^{2}\) \\  & Std & \(2.824\times 10^{1}\) & \(2.211\times 10^{1}\) & \(2.801\times 10^{1}\) & \(1.896\times 10^{2}\) & \(3.584\times 10^{1}\) \\  & BF27 & Avg & \(4.093\times 10^{2}\) & \(8.915\times 10^{2}\) & \(3.712\times 10^{2}\) & \(5.495\times 10^{2}\) & \(3.562\times 10^{2}\) \\  & Std & \(1.231\times 10^{2}\) & \(1.763\times 10^{1}\) & \(6.451\times 10^{1}\) & \(1.134\times 10^{2}\) & \(6.502\times 10^{1}\) \\  & BP28 & Avg & \(6.517\times 10^{1}\) & \(4.463\times 10^{2}\) & \(6.702\times 10^{1}\) & \(1.323\times 10^{2}\) & \(5.808\times 10^{2}\) \\  & Std & \(4.733\times 10^{1}\) & \(1.361\times 10^{2}\) & \(5.519\times 10^{1}\) & \(8.539\times 10^{1}\) & \(2.167\times 10^{2}\) \\  & BF29 & Avg & \(8.623\times 10^{2}\) & \(9.000\times 10^{2}\) & \(6.647\times 10^{2}\) & \(8.687\times 10^{2}\) & \(8.335\times 10^{2}\) \\  & Std & \(1.227\times 10^{2}\) & \(0.000\times 10^{0}\) & \(1.914\times 10^{2}\) & \(1.163\times 10^{2}\) & \(1.513\times 10^{2}\) \\  & SF30 & Avg & \(2.316\times 10^{3}\) & \(2.349\times 10^{3}\) & \(2.331\times 10^{3}\) & \(2.298\times 10^{3}\) & \(2.285\times 10^{3}\) \\  & Std & \(4.620\times 10^{3}\) & \(3.945\times 10^{3}\) & \(7.019\times 10^{3}\) & \(5.274\times 10^{1}\) & \(5.433\times 10^{1}\) \\  & BF31 & Avg & \(2.301\times 10^{3}\) & \(3.037\times 10^{3}\) & \(2.328\times 10^{3}\) & \(2.304\times 10^{3}\) & \(2.297\times 10^{3}\) \\  & Std & \(4.319\times 10^{-1}\) & \(1.029\times 10^{2}\) & \(1.330\times 10^{2}\) & \(1.830\times 10^{0}\) & \(1.404\times 10^{1}\) \\  & Std & \(2.619\times 10^{3}\) & \(2.709\times 10^{3}\) & \(2.626\times 10^{3}\) & \(2.633\times 10^{3}\) & \(2.617\times 10^{3}\) \\  & Std & \(4.387\times 10^{3}\) & \(1.119\times 10^{3}\) & \(4.554\times 10^{3}\) & \(6.484\times 10^{4}\) & \(4.036\times 10^{3}\) \\  & Std & \(2.749\times 10^{3}\) & \(2.908\times 10^{3}\) & \(2.765\times 10^{3}\) & \(2.773\times 10^{3}\) & \(2.732\times 10^{3}\) \\  & Std & \(7.531\times 10^{3}\) & \(3.205\times 10^{1}\) & \(5.622\times 10^{3}\) & \(9.164\times 10^{3}\) & \(5.132\times 10^{1}\) \\  & SF34 & Avg & \(2.946\times 10^{3}\) & \(3.335\times 10^{3}\) & \(2.948\times 10^{3}\) & \(2.947\times 10^{3}\) & \(2.907\times 10^{3}\) \\  & Std & \(1.674\times 10^{3}\) & \(3.125\times 10^{1}\) & \(1.530\times 10^{1}\) & \(8.235\times 10^{3}\) & \(1.704\times 10^{1}\) \\  & BF35 & Avg & \(3.041\times 10^{3}\) & \(4.317\times 10^{3}\) & \(3.329\times 10^{3}\) & \(3.067\times 10^{3}\) & \(2.860\times 10^{3}\) \\  & Std & \(2.723\times 10^{2}\) & \(1.450\times 10^{2}\) & \(4.946\times 10^{2}\) & \(1.333\times 10^{2}\) & \(6.306\times 10^{1}\) \\  & BF36 & Avg & \(3.097\times 10^{3}\) & \(3.220\times 10^{3}\) & \(3.092\times 10^{3}\) & \(3.100\times 10^{3}\) & \(3.092\times 10^{3}\) \\  & Std & \(9.015\times 10^{3}\) & \(4.835\times 10^{3}\) & \(1.447\times 10^{3}\) & \(9.205\times 10^{3}\) & \(1.308\times 10^{3}\) \\  & BF37 & Avg & \(3.422\times 10^{3}\) & \(3.881\times 10^{3}\) & \(3.414\times 10^{3}\) & \(3.390\times 10^{3}\) & \(3.159\times 10^{3}\) \\  & Std & \(5.882\times 10^{1}\) & \(4.524\times 10^{1}\) & \(6.707\times 10^{1}\) & \(5.771\times 10^{1}\) & \(5.531\times 10^{1}\) \\  & BF38 & Avg & \(3.188\times 10^{3}\) & \(3.488\times 10^{3}\) & \(3.264\times 10^{3}\) & \(3.270\times 10^{3}\) & \(3.171\times 10^{3}\) \\  & Std & \(2.246\times 10^{1}\) & \(8.767\times 10^{1}\) & \(4.486\times 10^{4}\) & \(4.459\times 10^{3}\) & \(1.574\times 10^{1}\) \\  & BF39 & Avg & \(3.532\times 10^{5}\) & \(8.866\times 10^{6}\) & \(3.799\times 10^{5}\) & \(6.095\times 10^{5}\) & \(2.490\times 10^{4 Figure 3: Convergence curves of DHSMEO and other algorithms in six benchmark functions.