## 4 Results and Discussion
### Statistical Analysis Using \(t\)-Test
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Makespan** & **Task Size** & **HWACO** & **MFT-BPSO** & **Improvement** & \(t\)**-Test Value** & \(p\)**-Value** \\ \hline \multirow{4}{*}{Onset rate 10} & 100 & 13.78 & 16.21 & 14.99074645 & 2.3498 & \(5.394\times 10^{-3}\) \\ \cline{2-6}  & 200 & 25.9 & 31.09 & 16.69347057 & 2.4085 & \(6.048\times 10^{-4}\) \\ \cline{2-6}  & 300 & 36.56 & 46.31 & 21.05376808 & 3.2083 & \(3.308\times 10^{-5}\) \\ \cline{2-6}  & 400 & 50.4 & 58.42 & 13.72817528 & 2.1083 & \(8.073\times 10^{-3}\) \\ \hline \multirow{4}{*}{Onset rate 40} & 100 & 16.98 & 19.67 & 13.6756482 & 2.8992 & \(1.937\times 10^{-3}\) \\ \cline{2-6}  & 200 & 30.76 & 38.12 & 19.30745016 & 3.4913 & \(4.497\times 10^{-4}\) \\ \cline{2-6}  & 300 & 45.13 & 55.41 & 18.55260783 & 2.8934 & \(1.003\times 10^{-4}\) \\ \cline{2-6}  & 400 & 60.8 & 71.01 & 14.37825658 & 2.5085 & \(4.999\times 10^{-3}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: \(t\)-Test for makespan between HWACO and MFT-BPSO. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Cost** & **Iteration** & **HWACO** & **MTF-BPSO** & **Improvement** & \(t\)**-Test Value** & \(p\)**-Value** \\ \hline \multirow{6}{*}{Number of Task 200} & 10 & 70 & 80 & 12.5 & 4.0834 & \(5.038\times 10^{-2}\) \\ \cline{2-6}  & 20 & 63 & 76 & 17.10526316 & 3.3508 & \(6.043\times 10^{-3}\) \\ \cline{2-6}  & 30 & 58 & 71 & 18.30985915 & 3.9553 & \(1.301\times 10^{-3}\) \\ \cline{2-6}  & 40 & 52 & 69 & 24.63768116 & 4.2316 & \(9.085\times 10^{-4}\) \\ \cline{2-6}  & 50 & 49 & 65 & 24.61538462 & 3.9358 & \(7.032\times 10^{-4}\) \\ \hline \multirow{6}{*}{Number of Task 400} & 10 & 110 & 122 & 9.836065574 & 3.1239 & \(5.034\times 10^{-2}\) \\ \cline{2-6}  & 20 & 103 & 118 & 12.71186441 & 3.9835 & \(8.342\times 10^{-2}\) \\ \cline{2-6}  & 30 & 89 & 110 & 19.09090909 & 4.0023 & \(4.497\times 10^{-3}\) \\ \cline{2-6}  & 40 & 80 & 109 & 26.60550459 & 3.8947 & \(1.242\times 10^{-4}\) \\ \cline{2-6}  & 50 & 75 & 98 & 23.46938776 & 5.2948 & \(5.099\times 10^{-4}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 10: \(t\)-Test for cost between HWACO and MTF-BPSO. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Cost** & **Iteration** & **HWACO** & **ACO** & **Improvement** & \(t\)**-Test Value** & \(p\)**-Value** \\ \hline \multirow{6}{*}{Number of Task 200} & 10 & 70 & 84 & 16.6666667 & 3.3048 & \(4.534\times 10^{-3}\) \\ \cline{2-6}  & 20 & 63 & 80 & 21.25 & 2.5034 & \(3.395\times 10^{-4}\) \\ \cline{2-6}  & 30 & 58 & 76 & 23.68421053 & 3.0485 & \(8.035\times 10^{-4}\) \\ \cline{2-6}  & 40 & 52 & 74 & 29.72972973 & 3.9853 & \(7.357\times 10^{-4}\) \\ \cline{2-6}  & 50 & 49 & 73 & 32.87671233 & 3.4532 & \(4.048\times 10^{-4}\) \\ \hline \multirow{6}{*}{Number of Task 400} & 10 & 110 & 124 & 11.29032258 & 2.3934 & \(9.825\times 10^{-2}\) \\ \cline{2-6}  & 20 & 103 & 122 & 15.57377049 & 3.0385 & \(4.397\times 10^{-3}\) \\ \cline{2-6}  & 30 & 89 & 124 & 28.22580645 & 4.2311 & \(7.092\times 10^{-4}\) \\ \cline{2-6}  & 40 & 80 & 113 & 29.20353982 & 4.3244 & \(2.139\times 10^{-4}\) \\ \cline{2-6}  & 50 & 75 & 104 & 27.88461538 & 4.1333 & \(1.082\times 10^{-4}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 11: \(t\)-Test for cost between HWACO and ACO.