## 5 Computational Results
In Tables 20-22, experimental results that investigate the effect of parameter setting to algorithms' performance and behavior regarding input instance, WHPP, are presented. As shown in Table 20, setting the first phase's number of cycles equal to 1 assists the algorithm in achieving the lowest best and average fitness values in the lowest best and average execution times. Except for that, if we do not use the first phase at all (first phase cycles = 0), execution times and success rate are rather worse. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Input instance** & \multicolumn{6}{c}{**Fitness value**} & \multicolumn{6}{c}{**Execution time (s)**} & \multicolumn{2}{c}{**Success**} \\
**BCV4-13.1** & **Best** & **Worst** & **Average** & **STD** & **CV (\%)** & **Best** & **Worst** & **Average** & **STD** & **rate** \\ \hline POPSIZE = 1 & 10 & 10 & 10 & 0 & 0 & 5.3 & 8.5 & 6.98 & 2.1 & 100\% \\ POPSIZE = 2 & 10 & 10 & 10 & 0 & 0 & 3 & 14.2 & 7.1 & 2.65 & 100\% \\ POPSIZE = 3 & 10 & 10 & 10 & 0 & 0 & 6.2 & 8 & 7.23 & 0.64 & 100\% \\ POPSIZE = 4 & 10 & 10 & 10 & 0 & 0 & 6 & 8.3 & 6.95 & 0.9 & 100\% \\ POPSIZE = 5 & 10 & 10 & 10 & 0 & 0 & 6.4 & 9.8 & 7.8 & 1.31 & 100\% \\ \hline \hline \end{tabular}
\end{table} 
Table 18: Investigating the effect of population size for input instance, BCV4-13.1. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Input instance** & \multicolumn{6}{c}{**Fitness value**} & \multicolumn{6}{c}{**Execution time (s)**} & \multicolumn{2}{c}{**Success**} \\
**BCV4-13.1** & **Best** & **Worst** & **Average** & **STD** & **CV (\%)** & **Best** & **Worst** & **Average** & **STD** & **rate** \\ \hline Swapping probability & 10 & 10 & 10 & 0 & 0 & 5.72 & 7.8 & 7.3 & 0.51 & 100\% \\ Swapping probability & 10 & 10 & 10 & 0 & 0 & 5.23 & 7.55 & 7.3 & 0.61 & 100\% \\ Swapping probability & 10 & 10 & 10 & 0 & 0 & 5.14 & 7.45 & 7.2 & 0.69 & 100\% \\ Swapping probability & 10 & 10 & 10 & 0 & 0 & 3 & 14.2 & 7.1 & 0.7 & 100\% \\ Swapping probability & 10 & 10 & 10 & 0 & 0 & 3.87 & 22.1 & 12.45 & 6.61 & 100\% \\ Swapping probability & & & & & & & & & & \\ \(=0.99995\) & 10 & 10 & 10 & 0 & 0 & 3.87 & 22.1 & 12.45 & 6.61 & 100\% \\ \hline \hline \end{tabular}
\end{table} 
Table 19: Investigating the effect of swapping probability for input instance, BCV4-13.1. As shown in Table 21, setting the value of population size equal to 2 assists the algorithm in achieving the lowest best and average fitness values in the lowest best and average execution times, respectively. As shown in Table 22, setting the value of swapping probability equal to 0.45 assists the algorithm in achieving the lowest best and average fitness values in the lowest best and average execution times, respectively. In Tables 23-25, experimental results that investigate the effect of parameter setting to algorithms' performance and behavior regarding input instance, HED01, are presented. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Input instance** & \multicolumn{5}{c}{**Fitness value**} & \multicolumn{5}{c}{**Execution time (s)**} & **Success** \\ \cline{2-10}
**WHPP** & **Best** & **Worst** & **Average** & **STD** & **CV (\%)** & **Best** & **Worst** & **Average** & **STD** & **Rate** \\ \hline First phase cycles = 0 & 5 & 7 & 5.2 & 0.63 & 12.1 & 16.45 & 97.43 & 43.3 & 21.8 & 90\% \\ First phase cycles = 1 & 5 & 5 & 5 & 0 & 0 & 9.1 & 27.2 & 16.2 & 5.9 & 100\% \\ First phase cycles = 2 & 5 & 8 & 5.3 & 0.95 & 17.9 & 25.74 & 42.4 & 37 & 5.4 & 90\% \\ First phase cycles = 3 & 5 & 5 & 5 & 0 & 0 & 23.43 & 51.6 & 33.8 & 9.35 & 100\% \\ First phase cycles = 4 & 5 & 5 & 5 & 0 & 0 & 25.19 & 39.9 & 34.3 & 5.6 & 100\% \\ First phase cycles = 5 & 5 & 5 & 5 & 0 & 0 & 21 & 54.3 & 38 & 9.7 & 100\% \\ \hline \hline \end{tabular}
\end{table} 
Table 20: Investigating the effect of first phase’s number of cycles for input instance, WHPP.