# A Multi-Strategy Improved Honey Badger Algorithm for Engineering Design Problems
## 3 Experiments
### Results of Ablation Experiments
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Function** & **Criterion** & **HBA** & **HBA1** & **HBA2** & **HBA3** & **HBA12** & **HBA13** & **HBA23** & **MIHBA** \\ \hline \multirow{4}{*}{\(f_{13}\)} & Mean & \(\mathbf{4.1696\times}\) & \(4.2182\times\) & \multirow{4}{*}{\(2.4608\times 10^{9}\)} & \multirow{4}{*}{\(1.0587\times 10^{9}\)} & \multirow{4}{*}{\(2.0050\times 10^{9}\)} & \multirow{4}{*}{\(4.8950\times\)} \\  & SD & \(3.4127\times\) & \(3.6345\times\) & & & & & \\  & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) \\  & Rank & 1 & 2 & 8 & 4 & 6 & 3 & 7 & 5 \\  & Mean & \(1.5304\times 10^{9}\) & \(1.7284\times 10^{9}\) & \(4.8083\times 10^{9}\) & \(\mathbf{1.5299\times 10^{9}}\) & \(3.4278\times 10^{9}\) & \(1.6693\times 10^{9}\) & \(3.2449\times 10^{9}\) & \(3.4290\times 10^{9}\) \\ \(f_{4}\) & SD & \(\mathbf{15614\times 10^{9}}\) & \(1.6678\times 10^{9}\) & \(3.5082\times 10^{9}\) & \(1.6335\times 10^{9}\) & \(2.0498\times 10^{9}\) & \(1.6030\times 10^{9}\) & \(2.6254\times 10^{9}\) & \(1.9069\times 10^{9}\) \\  & Rank & 1 & 8 & 2 & 6 & 3 & 7 & 5 \\  & Mean & \(5.9713\times\) & \(1.7166\times\) & \(7.9111\times\) & \(5.5807\times\) & \(1.7706\times\) & \(1.8942\times\) & \multirow{4}{*}{\(5\)} \\ \(f_{15}\) & Mean & \(10^{-3}\) & \(10^{-3}\) & \(10^{-3}\) & \(10^{-3}\) & \(10^{-3}\) & \(10^{-3}\) & \(10^{-3}\) \\  & \(9.2543\times\) & \(5.7402\times\) & \(1.1928\times\) & \(8.8396\times\) & \(4.4023\times\) & \(5.2232\times\) & \multirow{4}{*}{\(5\)} \\  & Rank & 6 & 3 & \(10^{-3}\) & \(10^{-3}\) & \(10^{-4}\) & \(10^{-4}\) & \(1.3768\times 10^{-2}\) & \(\mathbf{4.3485\times 10^{-4}}\) \\  & Mean & \(-1.0316\times\) & \(-1.0316\times\) & \(-1.0153\times\) & \(-1.0316\times\) & \(-8.5207\times\) & \(-1.0316\times\) & \(-9.8266\times 10^{-1}\) & \(-8.8472\times 10^{-1}\) \\ \(f_{16}\) & & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(-9.8266\times 10^{-1}\) & \(-8.8472\times 10^{-1}\) \\  & & \(3.4164\times\) & \(3.3269\times\) & \(1.1542\times\) & \(\mathbf{3.0917\times}\) & \(3.4153\times\) & \(3.1859\times\) & \(3.1859\times\) \\  & SD & \(-10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-16}\) & \(1.9580\times 10^{-1}\) & \(3.1674\times 10^{-1}\) \\  & Rank & 4 & 1 & 5 & 2 & 8 & 3 & 6 & 7 \\  & Mean & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) & \(3.9789\times\) \\ \(f_{17}\) & & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(10^{-1}\) & \(3.9789\times 10^{-1}\) & \(\mathbf{3.9789\times 10^{-1}}\) \\  & SD & \(0.0000\times 10^{9}\) & \(0.0000\times 10^{9}\) & \(10^{-16}\) & \(0.0000\times 10^{9}\) & \(0.3519\times\) & \(0.0000\times 10^{9}\) & \(0.0000\times 10^{9}\) & \(\mathbf{0.0000\times 10^{9}}\) \\  & Rank & 3.5 & 3.5 & 8 & 3.5 & 7 & 3.5 & 3.5 & 3.5 \\  & Mean & \(5.1600\times 10^{9}\) & \(3.0000\times 10^{9}\) & \(1.2180\times 10^{1}\) & \(3.5400\times 10^{9}\) & \(3.0000\times 10^{9}\) & \(3.0000\times 10^{9}\) & \(7.8600\times 10^{9}\) & \(\mathbf{3.0000\times 10^{9}}\) \\ \(f_{18}\) & SD & \(1.2001\times 10^{1}\) & \(\mathbf{1.7843\times}\) & \(2.0850\times 10^{1}\) & \(3.8184\times 10^{9}\) & \(10.1560\times\) & \(\mathbf{3.9106\times}\) & \(3.1916\times\) \\  & Rank & 6 & 11 & 8 & 5 & 4 & 2 & 7 & 3 \\  & Mean & \(-3.8615\times\) & \(-3.8615\times\) & \(-3.8317\times\) & \(-3.8468\times\) & \(-3.8628\times\) & \(-3.8625\times\) & \multirow{4}{*}{\(3\)} \\ \(f_{19}\) & & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(10^{9}\) & \(-3.8162\times 10^{9}\) & \(-3.8626\times 10^{9}\) \\  & SD & \(2.9188\times\) & \(2.9188\times\) & \(1.5299\times\) &