# Simulated Annealing with Exploratory Sensing for Global Optimization
## 4 Numerical Simulation
### Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Test** & \multicolumn{4}{c}{**Test**} \\
**Functions** & **SA** & **SAES\({}_{\text{\tiny{Iw}}}\)** & **SAES** & **Functions** & **SA** & **SAES\({}_{\text{\tiny{Iw}}}\)** & **SAES** \\ \hline \(f_{1}\) & \(1.863\times 10^{3}\) & \(1.733\times 10^{3}\) & \(1.127\times 10^{-10}\) & \(h_{1}\) & \(2.275\times 10^{3}\) & \(2.126\times 10^{3}\) & \(1.501\times 10^{-11}\) \\ \(f_{2}\) & \(5.672\times 10\) & \(5.837\times 10\) & \(1.248\times 10^{-3}\) & \(h_{2}\) & \(4.231\times 10^{4}\) & \(4.001\times 10^{4}\) & \(6.427\times 10^{-8}\) \\ \(f_{3}\) & \(2.926\times 10^{4}\) & \(2.977\times 10^{4}\) & \(5.939\times 10^{-9}\) & \(h_{3}\) & \(2.752\times 10^{8}\) & \(2.760\times 10^{8}\) & \(8.071\times 10^{-1}\) \\ \(f_{4}\) & \(2.643\times 10\) & \(2.700\times 10\) & \(1.073\times 10\) & \(h_{4}\) & \(2.623\times 10^{8}\) & \(2.528\times 10^{8}\) & \(1.021\) \\ \(f_{5}\) & \(2.372\times 10^{6}\) & \(2.162\times 10^{6}\) & \(1.276\) & \(h_{5}\) & \(3.263\times 10^{3}\) & \(3.356\times 10^{3}\) & \(2.451\times 10^{3}\) \\ \(f_{6}\) & \(1.850\times 10^{3}\) & \(1.773\times 10^{3}\) & \(1.727\times 10^{3}\) & \(h_{6}\) & \(6.962\times 10^{7}\) & \(7.345\times 10^{9}\) & \(8.622\times 10^{2}\) \\ \(f_{7}\) & \(1.190\times 10\) & \(1.192\times 10\) & \(1.095\times 10\) & \(h_{7}\) & \(4.958\times 10^{3}\) & \(5.037\times 10^{3}\) & \(1.920\times 10^{-2}\) \\ \(f_{8}\) & \(4.552\times 10^{3}\) & \(4.551\times 10^{3}\) & \(4.029\times 10^{3}\) & \(h_{8}\) & \(2.090\times 10\) & \(2.070\times 10\) & \(2.000\times 10\) \\ \(f_{9}\) & \(2.033\times 10^{2}\) & \(1.933\times 10^{2}\) & \(1.276\times 10^{2}\) & \(h_{9}\) & \(1.874\times 10^{2}\) & \(1.882\times 10^{2}\) & \(9.333\times 10\) \\ \(f_{10}\) & \(1.928\times 10\) & \(1.945\times 10\) & \(1.939\times 10\) & \(h_{10}\) & \(2.961\times 10^{2}\) & \(2.828\times 10^{2}\) & \(1.162\times 10^{2}\) \\ \(f_{11}\) & \(3.389\times 10^{2}\) & \(3.197\times 10^{2}\) & \(1.217\times 10^{-11}\) & \(h_{11}\) & \(2.150\times 10\) & \(2.153\times 10\) & \(1.903\times 10\) \\ \(f_{12}\) & \(1.077\times 10\) & \(1.187\times 10\) & \(3.357\times 10^{-1}\) & \(h_{12}\) & \(8.566\times 10^{5}\) & \(7.789\times 10^{5}\) & \(1.638\times 10^{3}\) \\ \(f_{13}\) & \(1.986\times 10\) & \(1.993\times 10\) & \(1.065\) & \(h_{13}\) & \(6.082\times 10\) & \(5.464\times 10^{2}\) & \(4.275\times 10^{5}\) \\ \(f_{14}\) & \(1.153\times 10\) & \(1.081\times 10\) & \(1.257\times 10\) & \(h_{14}\) & \(1.450\times 10\) & \(1.410\times 10\) & \(1.477\times 10\) \\ \(f_{15}\) & \(4.290\times 10^{-3}\) & \(4.172\times 10^{-3}\) & \(2.253\times 10^{-4}\) & \(h_{15}\) & \(5.899\times 10^{2}\) & \(5.772\times 10^{2}\) & \(4.763\times 10^{2}\) \\ \(f_{16}\) & \(1.860\times 10^{-2}\) & \(1.860\times 10^{-2}\) & \(0.000\) & \(h_{16}\) & \(2.847\times 10^{2}\) & \(2.341\times 10^{2}\) & \(1.318\times 10^{2}\) \\ \(f_{17}\) & \(6.813\times 10^{-3}\) & \(8.013\times 10^{-3}\) & \(3.578\times 10^{-7}\) & \(h_{17}\) & \(3.520\times 10^{2}\) & \(3.675\times 10^{2}\) & \(3.550\times 10^{2}\) \\ \(f_{18}\) & \(6.270\times 10^{-1}\) & \(4.694\times 10^{-1}\) & \(6.600\times 10^{-12}\) & \(h_{18}\) & \(1.014\times 10^{3}\) & \(1.008\times 10^{3}\) & \(9.515\times 10^{2}\) \\ \(f_{19}\) & \(2.780\times 10^{-3}\) & \(2.780\times 10^{-3}\) & \(2.133\times 10^{-7}\) & \(h_{19}\) & \(1.011\times 10^{3}\) & \(1.004\times 10^{3}\) & \(9.907\times 10^{2}\) \\ \(f_{20}\) & \(9.737\times 10^{-2}\) & \(8.902\times 10^{-2}\) & \(6.676\times 10^{-2}\) & \(h_{20}\) & \(1.009\times 10^{3}\) & \(1.005\times 10^{3}\) & \(9.588\times 10^{2}\) \\ \(f_{21}\) & \(3.032\) & \(3.989\) & \(3.746\) & \(h_{21}\) & \(1.293\times 10^{3}\) & \(1.294\times 10^{3}\) & \(1.260\times 10^{3}\) \\ \(f_{22}\) & \(4.419\) & \(3.331\) & \(2.975\) & \(h_{22}\) & \(1.300\times 10^{3}\) & \(1.298\times 10^{3}\) & \(1.228\times 10^{3}\) \\ \(f_{23}\) & \(4.349\) & \(3.466\) & \(3.561\) & \(h_{23}\) & \(1.301\times 10^{3}\) & \(1.297\times 10^{3}\) & \(1.289\times 10^{3}\) \\ \(f_{24}\) & \(4.914\times 10\) & \(4.949\times 10\) & \(2.982\times 10^{2}\) & \(h_{24}\) & \(1.271\times 10^{3}\) & \(1.230\times 10^{3}\) & \(1.192\times 10^{3}\) \\ \(f_{25}\) & \(3.