# Mutational Chemotaxis Motion Driven MdpI for Engineering Applications
## 4 Discussion of Experimental Results
### Parameters Sensitivity Analyses
#### 4.1.2 Determination of Chemotaxis Motion Step Size  
In order to select the most suitable step size, this experiment follows the single-variable principle. Only the parameter settings for the step size were changed, specifically \(Ci=[0.01,\ 0.03,\ 0.05,\ 0.07,\ 0.09,\ 0.1,\ 0.3]\), and the rest followed the experimental setting described above. If the direction in the chemotaxis-motion strategy helps the individual move toward the optimal solution, the maximum number of motion steps is specified as 10 to avoid too many motion steps which increases the overhead of the algorithm. Table 3 below shows the solutions using different step lengths. \begin{table}
\begin{tabular}{l c c c c c c} \hline \hline HMCMMFO\(\delta\)7 & \(2.88799\times 10^{3}\) & \(7.36339\times 10^{0}\) & \(4.40356\times 10^{3}\) & \(1.73217\times 10^{2}\) & \(3.21635\times 10^{3}\) & \(1.24228\times 10^{1}\) \\ HMCMMFO\(\delta\)8 & \(2.88606\times 10^{3}\) & \(2.46422\times 10^{0}\) & \(4.42429\times 10^{3}\) & \(2.05940\times 10^{2}\) & \(3.21478\times 10^{3}\) & \(1.13235\times 10^{1}\) \\ HMCMMFO\(\delta\)9 & \(2.88775\times 10^{3}\) & \(4.37929\times 10^{0}\) & \(4.45078\times 10^{3}\) & \(1.92314\times 10^{2}\) & \(3.21407\times 10^{3}\) & \(1.04529\times 10^{1}\) \\ \hline  & **F28** & \multicolumn{2}{c}{**F29**} & \multicolumn{2}{c}{**F30**} \\ \cline{2-6}  & **AVG** & **STD** & **AVG** & **STD** & **AVG** & **STD** \\ \hline HMCMMFO\(\delta\)1 & \(3.71619\times 10^{3}\) & \(6.94854\times 10^{1}\) & \(3.68289\times 10^{3}\) & \(1.84964\times 10^{2}\) & \(1.26906\times 10^{4}\) & \(5.57223\times 10^{3}\) \\ HMCMMFO\(\delta\)2 & \(3.18621\times 10^{3}\) & \(7.13906\times 10^{1}\) & \(3.57683\times 10^{3}\) & \(1.23870\times 10^{2}\) & \(1.40244\times 10^{4}\) & \(4.21658\times 10^{3}\) \\ HMCMMFO\(\delta\)3 & \(3.16965\times 10^{3}\) & \(6.92289\times 10^{1}\) & \(3.61081\times 10^{3}\) & \(1.71466\times 10^{2}\) & \(1.21935\times 10^{4}\) & \(5.25786\times 10^{3}\) \\ HMCMMFO\(\delta\)4 & \(3.16650\times 10^{3}\) & \(7.46658\times 10^{1}\) & \(3.62631\times 10^{3}\) & \(1.49335\times 10^{2}\) & \(1.21869\times 10^{4}\) & \(4.20930\times 10^{3}\) \\ HMCMMFO\(\delta\)5 & \(3.17276\times 10^{3}\) & \(6.93366\times 10^{1}\) & \(3.62422\times 10^{3}\) & \(1.67782\times 10^{2}\) & \(1.50316\times 10^{4}\) & \(4.71045\times 10^{3}\) \\ HMCMMFO\(\delta\)6 & \(3.16032\times 10^{3}\) & \(6.31060\times 10^{1}\) & \(3.57831\times 10^{3}\) & \(1.61502\times 10^{2}\) & \(1.33741\times 10^{4}\) & \(4.21481\times 10^{3}\) \\ HMCMMFO\(\delta\)7 & \(3.15070\times 10^{3}\) & \(6.04520\times 10^{1}\) & \(3.62263\times 10^{3}\) & \(2.29452\times 10^{2}\) & \(1.26976\times 10^{4}\) & \(4.58287\times 10^{3}\) \\ HMCMMFO\(\delta\)8 & \(3.18155\times 10^{3}\) & \(6.40737\times 10^{1}\) & \(3.66002\times 10^{3}\) & \(1.47621\times 10^{2}\) & \(1.25602\times 10^{4}\) & \(4.09736\times 10^{3}\) \\ HMCMMFO\(\delta\)9 & \(3.14029\times 10^{3}\) & \(6.10406\times 10^{1}\) & \(3.68634\times 10^{3}\) & \(1.95530\times 10^{2}\) & \(1.40643\times 10^{4}\) & \(5.26455\times 10^{3}\) \\ \hline  & **ARV** & \multicolumn{2}{c}{**Rank**} \\ \hline HMCMMFO\(\delta\)1 & \(4.566667\) & \(4\) & & & & \\ HMCMMFO\(\delta\)2 & \(4.333333\) & \(2\) & & & & \\ HMCMMFO\(\delta\)3 & \(3.866667\) & \(1\) & & & & \\ HMCMMFO\(\delta\)4 & \(4.7\) & \(5\) & & & \\ HMCMMFO\(\delta\)5 & \(4.4666667\) & \(3\) & & & & \\ HMCMMFO\(\delta\)6 & \(4.866667\) & \(6\) & & & & \\ HMCMMFO\(\delta\)7 & \(5.3\) & \(7\) & & & \\ HMCMMFO\(\delta\)8 & \(6.4\) & \(8\) & & & \\ HMCMMFO\(\delta\)9 & \(6.5\) & \(9\) & & & \\ \hline \hline \end{tabular}
\end{table}