## 5 Experimental Results and Analysis
### Experimental Results and Discussion on Algorithms Comparison
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & **Best** & **Worst** & **Median** & **Average** & **StdDev** \\ \hline NSGAII & \(5.48\times 10^{11}\) & \(2.53\times 10^{11}\) & \(4.70\times 10^{11}\) & \(4.44\times 10^{11}\) & \(8.99\times 10^{10}\) \\ MOPSO & \(3.06\times 10^{10}\) & \(5.02\times 10^{9}\) & \(1.76\times 10^{10}\) & \(1.80\times 10^{10}\) & \(6.65\times 10^{9}\) \\ MOAO & \(2.29\times 10^{10}\) & \(8.16\times 10^{9}\) & \(1.44\times 10^{10}\) & \(1.44\times 10^{10}\) & \(3.39\times 10^{9}\) \\ MOHBA & \(1.93\times 10^{10}\) & \(8.69\times 10^{9}\) & \(1.37\times 10^{10}\) & \(1.42\times 10^{10}\) & \(3.48\times 10^{9}\) \\ MOWOA & \(4.20\times 10^{10}\) & \(1.32\times 10^{10}\) & \(2.01\times 10^{10}\) & \(2.28\times 10^{10}\) & \(8.56\times 10^{9}\) \\ MOGWO & \(3.74\times 10^{10}\) & \(1.36\times 10^{10}\) & \(2.64\times 10^{10}\) & \(2.62\times 10^{10}\) & \(7.27\times 10^{9}\) \\ MOFECO & \(3.68\times 10^{11}\) & \(2.48\times 10^{11}\) & \(3.23\times 10^{11}\) & \(3.15\times 10^{11}\) & \(3.74\times 10^{10}\) \\ LSMOFECO & \(4.30\times 10^{11}\) & \(1.27\times 10^{11}\) & \(2.21\times 10^{11}\) & \(2.46\times 10^{11}\) & \(9.63\times 10^{10}\) \\ MOFECO-MS & \(9.90\times 10^{11}\) & \(5.02\times 10^{11}\) & \(6.56\times 10^{11}\) & \(6.75\times 10^{11}\) & \(1.35\times 10^{11}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 35: Statistical results of HV indicator of the eight comparison algorithms for \(a280\_n1395\). \begin{table}
\begin{tabular}{c c c c c c} \hline  & **Best** & **Worst** & **Median** & **Average** & **StdDev** \\ \hline NSGAII & \(1.43\times 10^{6}\) & \(7.32\times 10^{5}\) & \(1.10\times 10^{6}\) & \(1.09\times 10^{6}\) & \(2.07\times 10^{5}\) \\ MOPSO & \(1.82\times 10^{7}\) & \(6.57\times 10^{6}\) & \(1.50\times 10^{7}\) & \(1.38\times 10^{7}\) & \(3.49\times 10^{6}\) \\ MOAO & \(2.48\times 10^{7}\) & \(1.03\times 10^{7}\) & \(1.69\times 10^{7}\) & \(1.68\times 10^{7}\) & \(4.46\times 10^{6}\) \\ MOHBA & \(2.85\times 10^{7}\) & \(1.15\times 10^{7}\) & \(1.85\times 10^{7}\) & \(1.80\times 10^{7}\) & \(4.41\times 10^{6}\) \\ MOWOA & \(1.73\times 10^{7}\) & \(5.71\times 10^{6}\) & \(1.30\times 10^{7}\) & \(1.30\times 10^{7}\) & \(3.37\times 10^{6}\) \\ MOGWO & \(3.35\times 10^{7}\) & \(1.89\times 10^{7}\) & \(2.43\times 10^{7}\) & \(2.55\times 10^{7}\) & \(5.16\times 10^{6}\) \\ MOFECO & \(3.15\times 10^{7}\) & \(1.22\times 10^{7}\) & \(2.17\times 10^{7}\) & \(2.12\times 10^{7}\) & \(5.16\times 10^{6}\) \\ LSMOFECO & \(1.23\times 10^{6}\) & \(1.29\times 10^{5}\) & \(5.99\times 10^{5}\) & \(6.48\times 10^{5}\) & \(3.50\times 10^{5}\) \\ MOFECO-MS & \(1.74\times 10^{6}\) & \(7.19\times 10^{5}\) & \(1.06\times 10^{6}\) & \(1.10\times 10^{6}\) & \(2.51\times 10^{5}\) \\ \hline \end{tabular}
\end{table} 
Table 40: Statistical results of PD indicator of the eight comparison algorithms for \(a280\_n2790\). Figure 15: Plots of the non-dominated solutions in the objective space of \(a280\_n1395\) obtained by nine algorithms in 15 independent runs (solutions obtained in each run are denoted by each color).