## 3 Proposed ATMALS-GSK Algorithm
### Atmals-Gsk
#### 3.2.6 Overall Operation of ATMALS-GSK
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Function**} & \multicolumn{4}{c}{**GSK [16]**} & \multicolumn{4}{c}{**ATMALS-GSK (Proposed)**} \\ \cline{2-10}  & **Best** & **Median** & **Worst** & **Mean** & **STD** & **Best** & **Median** & **Worst** & **Mean** & **STD** \\ \hline
18 & \(2.25\times 10^{1}\) & \(3.69\times 10^{1}\) & \(4.80\times 10^{1}\) & \(3.68\times 10^{1}\) & \(5.42\) & \(2.25\times 10^{1}\) & \(2.74\times 10^{1}\) & \(4.02\times 10^{1}\) & \(3.02\times 10^{1}\) & \(6.67\) \\ \hline
19 & \(3.42\) & \(1.13\times 10^{1}\) & \(2.22\times 10^{1}\) & \(1.29\times 10^{1}\) & \(6.02\) & \(8.03\) & \(1.37\times 10^{1}\) & \(1.65\times 10^{1}\) & \(1.30\times 10^{1}\) & \(3.34\) \\ \hline
20 & \(1.34\) & \(5.51\times 10^{1}\) & \(4.51\times 10^{2}\) & \(1.08\times 10^{2}\) & \(1.14\times 10^{2}\) & \(3.73\times 10^{1}\) & \(5.58\times 10^{1}\) & \(1.62\times 10^{2}\) & \(4.74\times 10^{1}\) & \(3.35\times 10^{1}\) \\ \hline
21 & \(3.20\times 10^{2}\) & \(3.49\times 10^{2}\) & \(3.55\times 10^{2}\) & \(3.46\times 10^{2}\) & \(8.30\) & \(2.51\times 10^{2}\) & \(2.65\times 10^{2}\) & \(2.79\times 10^{2}\) & \(2.66\times 10^{2}\) & \(9.12\) \\ \hline
22 & \(1.00\times 10^{2}\) & \(1.00\times 10^{2}\) & \(1.00\times 10^{2}\) & \(1.00\times 10^{2}\) & \(0.00\) & \(1.00\times 10^{2}\) & \(1.00\times 10^{2}\) & \(1.00\times 10^{2}\) & \(0.00\) \\ \hline
23 & \(3.50\times 10^{2}\) & \(4.86\times 10^{2}\) & \(5.07\times 10^{2}\) & \(4.70\times 10^{2}\) & \(4.49\times 10^{1}\) & \(3.97\times 10^{2}\) & \(4.28\times 10^{2}\) & \(4.43\times 10^{2}\) & \(3.44\times 10^{2}\) & \(1.70\times 10^{1}\) \\ \hline
24 & \(5.29\times 10^{2}\) & \(5.70\times 10^{2}\) & \(5.86\times 10^{2}\) & \(5.68\times 10^{2}\) & \(1.45\times 10^{1}\) & \(4.52\times 10^{2}\) & \(4.77\times 10^{2}\) & \(4.91\times 10^{2}\) & \(4.75\times 10^{2}\) & \(1.48\times 10^{1}\) \\ \hline
25 & \(3.87\times 10^{2}\) & \(3.87\times 10^{2}\) & \(3.87\times 10^{2}\) & \(3.87\times 10^{2}\) & \(2.11\times 10^{-1}\) & \(3.83\times 10^{2}\) & \(3.86\times 10^{2}\) & \(3.87\times 10^{2}\) & \(3.86\times 10^{2}\) & \(1.07\) \\ \hline
26 & \(6.93\times 10^{2}\) & \(9.56\times 10^{2}\) & \(2.12\times 10^{3}\) & \(9.87\times 10^{2}\) & \(2.49\times 10^{2}\) & \(1.45\times 10^{3}\) & \(1.87\times 10^{3}\) & \(1.97\times 10^{3}\) & \(1.79\times 10^{3}\) & \(1.93\times 10^{2}\) \\ \hline
27 & \(4.80\times 10^{2}\) & \(4.92\times 10^{2}\) & \(5.14\times 10^{2}\) & \(4.93\times 10^{2}\) & \(8.02\) & \(4.87\times 10^{2}\) & \(4.97\times 10^{2}\) & \(5.06\times 10^{2}\) & \(4.96\times 10^{2}\) & \(6.31\) \\ \hline
28 & \(3.00\times 10^{2}\) & \(3.00\times 10^{2}\) & \(4.04\times 10^{2}\) & \(3.21\times 10^{2}\) & \(4.22\times 10^{1}\) & \(3.00\times 10^{2}\) & \(3.00\times 10^{2}\) & \(4.03\times 10^{2}\) & \(3.10\times 10^{2}\) & \(3.26\times 10^{1}\) \\ \hline
29 & \(4.23\times 10^{2}\) & \(5.92\times 10^{2}\) & \(7.69\times 10^{2}\) & \(5.77\times 10^{2}\) & \(1.01\times 10^{2}\) & \(4.09\times 10^{2}\) & \(5.13\times 10^{2}\) & \(5.68\times 10^{2}\) & \(4.32\times 10^{2}\) & \(5.95\times 10^{1}\) \\ \hline
30 & \(1.94\times 10^{3}\) & \(2.09\times 10^{3}\) & \(2.36\times 10^{3}\) & \(2.08\times 10^{3}\) & \(9.27\times 10^{1}\) & \(1.97\times 10^{3}\) & \(2.06\times 10^{3}\) & \(2.12\times 10^{3}\) & \(2.06\times 10^{3}\) & \(5.55\times 10^{1}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: _Cant._

\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Function**} & \multicolumn{6}{c}{**GSK [16]**} & \multicolumn{6}{c}{**ATMALS-GSK (Proposed)**} \\ \cline{2-11}  & **Best** & **Median** & **Worst** & **Mean** & **STD** & **Best** & **Median** & **Worst** & **Mean** & **STD** \\ \hline