## 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 & \(3.23\times 10^{6}\) & \(1.46\times 10^{6}\) & \(1.92\times 10^{6}\) & \(2.00\times 10^{6}\) & \(4.55\times 10^{8}\) \\ MOPSO & \(3.78\times 10^{6}\) & \(2.22\times 10^{6}\) & \(2.75\times 10^{6}\) & \(2.82\times 10^{6}\) & \(4.71\times 10^{5}\) \\ MOAO & \(4.01\times 10^{6}\) & \(1.69\times 10^{6}\) & \(2.80\times 10^{6}\) & \(2.72\times 10^{6}\) & \(7.15\times 10^{5}\) \\ MOHBA & \(3.34\times 10^{6}\) & \(1.75\times 10^{6}\) & \(2.58\times 10^{6}\) & \(2.49\times 10^{6}\) & \(5.21\times 10^{5}\) \\ MOWOA & \(4.61\times 10^{6}\) & \(1.55\times 10^{6}\) & \(2.84\times 10^{6}\) & \(2.87\times 10^{6}\) & \(7.61\times 10^{5}\) \\ MOGWO & \(3.66\times 10^{6}\) & \(1.58\times 10^{6}\) & \(2.58\times 10^{6}\) & \(2.57\times 10^{6}\) & \(6.35\times 10^{5}\) \\ MOFECO & \(6.84\times 10^{6}\) & \(4.11\times 10^{6}\) & \(5.20\times 10^{6}\) & \(5.34\times 10^{6}\) & \(8.68\times 10^{5}\) \\ LSMOFFECO & \(3.73\times 10^{6}\) & \(1.67\times 10^{6}\) & \(2.69\times 10^{6}\) & \(2.59\times 10^{6}\) & \(6.38\times 10^{5}\) \\ MOFECO-MS & \(4.19\times 10^{6}\) & \(1.89\times 10^{6}\) & \(2.95\times 10^{6}\) & \(3.02\times 10^{6}\) & \(5.31\times 10^{5}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 19: Statistical results of PD indicator of the eight comparison algorithms for _eil_51_n250. Figure 9: Plots of the non-dominated solutions in the objective space of _eil_51_n250 obtained by nine algorithms in 15 independent runs (Pareto front obtained in each run are denoted by each color). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & **Best** & **Worst** & **Median** & **Average** & **StdDev** \\ \hline NSGAII & \(9.95\times 10^{1}\) & \(5.64\times 10^{2}\) & \(3.03\times 10^{2}\) & \(2.99\times 10^{2}\) & \(1.38\times 10^{2}\) \\ MOPSO & \(3.87\times 10^{2}\) & \(1.72\times 10^{3}\) & \(6.71\times 10^{2}\) & \(7.76\times 10^{2}\) & \(3.44\times 10^{2}\) \\ MOAO & \(2.85\times 10^{2}\) & \(1.77\times 10^{3}\) & \(5.53\times 10^{2}\) & \(7.72\times 10^{2}\) & \(4.57\times 10^{2}\) \\ MOHBA & \(2.26\times 10^{2}\) & \(7.95\times 10^{2}\) & \(4.24\times 10^{2}\) & \(4.75\times 10^{2}\) & \(1.89\times 10^{2}\) \\ MOWOA & \(5.53\times 10^{2}\) & \(2.44\times 10^{3}\) & \(1.06\times 10^{3}\) & \(1.09\times 10^{3}\) & \(5.25\times 10^{2}\) \\ MOGWO & \(2.69\times 10^{2}\) & \(1.76\times 10^{3}\) & \(8.95\times 10^{2}\) & \(9.98\times 10^{2}\) & \(4.32\times 10^{2}\) \\ MOFECO & \(1.36\times 10^{2}\) & \(8.22\times 10^{2}\) & \(3.28\times 10^{2}\) & \(3.84\times 10^{2}\) & \(2.08\times 10^{2}\) \\ LSMOFECO & \(2.82\times 10^{1}\) & \(1.03\times 10^{2}\) & \(5.85\times 10^{1}\) & \(6.36\times 10^{1}\) & \(2.48\times 10^{1}\) \\ MOFECO-MS & \(3.42\times 10^{1}\) & \(1.11\times 10^{2}\) & \(5.38\times 10^{1}\) & \(5.77\times 10^{1}\) & \(1.99\times 10^{1}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 21: Statistical results of SP indicator of the eight comparison algorithms for _eil_51_\(n500\). Figure 10: Plots of the non-dominated solutions in the objective space of _eil_51_\(n500\) obtained by nine algorithms in 15 independent runs (Pareto front obtained in each run are denoted by each color).