## 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{5}{c}{**GSK [16]**} & \multicolumn{5}{c}{**ATMALS-GSK (Proposed)**} \\ \cline{2-11}  & **Best** & **Median** & **Worst** & **Mean** & **STD** & **Best** & **Median** & **Worst** & **Mean** & **STD** \\ \hline
3 & 0.00 & \(5.66\times 10^{-8}\) & \(8.54\times 10^{-6}\) & \(7.07\times 10^{-7}\) & \(1.82\times 10^{-6}\) & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\ \hline
4 & \(9.28\times 10^{-3}\) & 4.00 & \(7.25\times 10^{1}\) & \(1.11\times 10^{1}\) & \(2.17\times 10^{1}\) & 0.00 & 1.99 & 3.98 & 1.99 & 2.10 \\ \hline
5 & \(1.36\times 10^{2}\) & \(1.62\times 10^{2}\) & \(1.73\times 10^{2}\) & \(1.60\times 10^{2}\) & 8.87 & \(1.08\times 10^{1}\) & \(2.67\times 10^{1}\) & \(9.72\times 10^{1}\) & \(1.53\times 10^{1}\) & \(1.90\times 10^{1}\) \\ \hline
6 & 0.00 & \(5.47\times 10^{-7}\) & \(8.42\times 10^{-6}\) & \(1.52\times 10^{-6}\) & \(2.36\times 10^{-6}\) & \(2.26\times 10^{-5}\) & \(5.71\times 10^{-5}\) & \(1.39\times 10^{-4}\) & \(6.82\times 10^{-5}\) & \(3.90\times 10^{-5}\) \\ \hline
7 & \(1.64\times 10^{2}\) & \(1.87\times 10^{2}\) & \(1.99\times 10^{2}\) & \(1.87\times 10^{2}\) & 8.40 & \(2.52\times 10^{1}\) & \(5.60\times 10^{1}\) & \(9.83\times 10^{1}\) & \(4.33\times 10^{1}\) & \(1.15\times 10^{1}\) \\ \hline
8 & \(1.24\times 10^{2}\) & \(1.56\times 10^{2}\) & \(1.73\times 10^{2}\) & \(1.55\times 10^{2}\) & \(1.11\times 10^{1}\) & \(1.07\times 10^{1}\) & \(2.34\times 10^{1}\) & \(5.06\times 10^{1}\) & \(1.35\times 10^{1}\) & \(1.29\times 10^{1}\) \\ \hline
9 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & \(8.95\times 10^{-2}\) & \(1.79\times 10^{-2}\) & \(3.77\times 10^{-2}\) \\ \hline
10 & \(5.84\times 10^{3}\) & \(6.68\times 10^{3}\) & \(7.16\times 10^{3}\) & \(6.69\times 10^{3}\) & \(3.54\times 10^{2}\) & \(1.63\times 10^{3}\) & \(2.96\times 10^{3}\) & \(3.49\times 10^{3}\) & \(2.80\times 10^{3}\) & \(5.90\times 10^{2}\) \\ \hline
11 & \(6.00\times 10^{-1}\) & 8.57 & \(9.85\times 10^{1}\) & \(3.30\times 10^{1}\) & \(3.83\times 10^{1}\) & 9.94 & \(2.04\times 10^{1}\) & \(7.19\times 10^{1}\) & \(1.46\times 10^{1}\) & \(1.73\times 10^{1}\) \\ \hline
12 & \(1.03\times 10^{3}\) & \(5.32\times 10^{3}\) & \(1.91\times 10^{4}\) & \(6.62\times 10^{3}\) & \(4.59\times 10^{3}\) & \(9.02\times 10^{2}\) & \(3.12\times 10^{3}\) & \(8.19\times 10^{3}\) & \(3.84\times 10^{3}\) & \(2.62\times 10^{3}\) \\ \hline
13 & \(4.61\times 10^{1}\) & \(9.11\times 10^{1}\) & \(1.82\times 10^{2}\) & \(9.83\times 10^{1}\) & \(3.42\times 10^{1}\) & \(2.06\times 10^{1}\) & \(3.91\times 10^{1}\) & \(6.34\times 10^{1}\) & \(3.01\times 10^{1}\) & \(1.12\times 10^{1}\) \\ \hline
14 & \(4.72\times 10^{1}\) & \(5.73\times 10^{1}\) & \(6.65\times 10^{1}\) & \(5.69\times 10^{1}\) & 5.49 & \(1.04\times 10^{1}\) & \(1.79\times 10^{1}\) & \(4.57\times 10^{1}\) & \(1.78\times 10^{1}\) & \(4.26\) \\ \hline
15 & 2.13 & 9.17 & \(7.48\times 10^{1}\) & \(1.45\times 10^{1}\) & \(1.49\times 10^{1}\) & 5.88 & \(1.75\times 10^{1}\) & \(1.92\times 10^{1}\) & \(1.43\times 10^{1}\) & \(5.56\) \\ \hline
16 & \(4.35\times 10^{2}\) & \(7.76\times 10^{2}\) & \(1.15\times 10^{3}\) & \(7.96\times 10^{2}\) & \(1.94\times 10^{2}\) & \(1.97\times 10^{1}\) & \(5.47\times 10^{2}\) & \(7.50\times 10^{2}\) & \(2.53\times 10^{2}\) & \(2.81\times 10^{2}\) \\ \hline
17 & \(6.28\times 10^{1}\) & \(2.04\times 10^{2}\) & \(3.77\times 10^{2}\) & \(1.89\times 10^{2}\) & \(9.44\times 10^{1}\) & \(2.92\times 10^{1}\) & \(6.37\times 10^{1}\) & \(1.41\times 10^{2}\) & \(4.71\times 10^{1}\) & \(2.30\times 10^{1}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: _Cont._