# An Enhanced Discrete Symbiotic Organism Search Algorithm for Optimal Task Scheduling in the Cloud
## 6 Results and Discussion
\begin{table}
\begin{tabular}{l c c c c c} \hline \hline
**Task Size** & **DSOS** & **eDSOS** & **Improvement (\%)** & \(t\)**-Test Value** & \(p\)**-Value** \\ \hline
100 & 101.34 & 86.31 & 17.41 & 4.9518 & 6.69 \(\times\)\(10^{-6}\) \\
200 & 215.08 & 185.27 & 16.09 & 5.0252 & 5.13 \(\times\)\(10^{-6}\) \\
300 & 304.43 & 260.67 & 16.79 & 4.5288 & 3.01 \(\times\)\(10^{-5}\) \\
400 & 429.11 & 363.38 & 18.09 & 6.6084 & 1.33 \(\times\)\(10^{-8}\) \\
500 & 571.23 & 504.68 & 13.19 & 5.8260 & 2.63 \(\times\)\(10^{-7}\) \\
600 & 677.50 & 588.24 & 15.17 & 5.7192 & 3.94 \(\times\)\(10^{-7}\) \\
700 & 821.29 & 693.86 & 18.37 & 8.6257 & 5.53 \(\times\)\(10^{-12}\) \\
800 & 949.67 & 814.97 & 16.53 & 6.3993 & 2.97 \(\times\)\(10^{-8}\) \\
900 & 1036.75 & 894.78 & 15.87 & 7.2671 & 1.04 \(\times\)\(10^{-9}\) \\
1000 & 1201.66 & 1047.84 & 14.68 & 10.099 & 2.15 \(\times\)\(10^{-14}\) \\ \hline \end{tabular}
\end{table} 
Table 6: Comparison of the makespans of DSOS and eDSOS for the dataset with the left-half distribution. Figure 13: The convergence curves with 1000 instances of tasks. \begin{table}
\begin{tabular}{l c c c c c} \hline \hline
**Task Size** & **DSOS** & **eDSOS** & **Improvement (\%)** & \(t\)**-Test Value** & \(p\)**-Value** \\ \hline
100 & 122.48 & 102.02 & 20.05 & 5.4040 & 1.28 \(\times\)\(10^{-6}\) \\
200 & 230.25 & 202.55 & 13.68 & 4.4966 & 3.36 \(\times\)\(10^{-5}\) \\
300 & 349.04 & 298.90 & 16.77 & 5.1478 & 3.28 \(\times\)\(10^{-6}\) \\
400 & 492.34 & 419.30 & 17.42 & 6.837 & 5.50 \(\times\)\(10^{-9}\) \\
500 & 614.39 & 528.49 & 16.25 & 6.6650 & 1.07 \(\times\)\(10^{-8}\) \\
600 & 762.94 & 665.33 & 14.67 & 9.2745 & 4.69 \(\times\)\(10^{-13}\) \\
700 & 884.87 & 771.69 & 14.67 & 7.5949 & 2.93 \(\times\)\(10^{-10}\) \\
800 & 1022.90 & 882.76 & 15.88 & 9.3003 & 4.25 \(\times\)\(10^{-13}\) \\
900 & 1167.82 & 1014.86 & 15.07 & 9.0975 & 9.16 \(\times\)\(10^{-13}\) \\
1000 & 1308.14 & 1139.44 & 14.81 & 8.0474 & 5.10 \(\times\)\(10^{-11}\) \\ \hline \end{tabular}
\end{table} 
Table 5: Comparison of the makespans of DSOS and eDSOS for the normally distributed dataset. \begin{table}
\begin{tabular}{l l l l l l} \hline \hline
**Task Size** & **DSOS** & **eDSOS** & **Improvement** & \(t\)**-Test** & \(p\)**-Value** \\  & & & **(\%)** & **Value** & \\ \hline
100 & 85.92 & 77.00 & 11.58 & 2.4293 & 0.01825 \\
200 & 189.86 & 150.41 & 26.23 & 9.3064 & \(4.16\times 10^{-13}\) \\
300 & 281.57 & 236.94 & 18.84 & \(-1.0000\) & 0.32150 \\
400 & 370.46 & 318.64 & 16.26 & 5.1559 & \(3.19\times 10^{-6}\) \\
500 & 484.99 & 402.29 & 20.56 & 8.3335 & \(1.70\times 10^{-11}\) \\
600 & 597.84 & 484.65 & 23.35 & 9.1862 & \(6.55\times 10^{-13}\) \\
700 & 685.77 & 564.03 & 21.58 & 8.1428 & \(3.53\times 10^{-11}\) \\
800 & 804.90 & 660.39 & 21.88 & 10.5800 & \(3.69\times 10^{-15}\) \\
900 & 887.43 & 738.52 & 20.16 & 11.1340 & \(5.00\times 10^{-16}\) \\
1000 & 1006.27 & 863.99 & 16.47 & 18.5930 & \(2.20\times 10^{-16}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Comparison of the makespans of DSOS and eDSOS for the dataset with the right-half distribution. \begin{table}
\begin{tabular}{l l l l l l} \hline \hline
**Task Size** & **DSOS** & **eDSOS** & **Improvement** & \(t\)**-Test** & \(p\)**-Value** \\  & & & **(\%)** & **Value** & \\ \hline
100 & 107.40 & 97.80 & 9.82 & 2.7944 & 0.00704 \\
200 & 202.37 & 187.10 & 8.16 & 2.2366 & 0.02917 \\
300 & 317.81 & 282.52 & 12.49 & 3.7330 & 0.00043 \\
400 & 445.96 & 381.36 & 16.94 & 6.0255 & \(1.2\times 10^{-7}\) \\
500 & 573.27 & 512.68 & 11.82 & 4.5433 & \(2.9\times 10^{-5}\) \\
600 & 721.87 & 607.13 & 18.90 & 8.2421 & \(2.4\times 10^{-11}\) \\
700 & 833.74 & 713.53 & 16.85 & 6.9794 & \(3.2\times 10^{-9}\) \\
800 & 983.97 & 839.26 & 17.24 & 8.2634 & \(2.2\times 10^{-11}\) \\
900 & 1107.71 & 953.91 & 16.12 & 10.519 & \(4.6\times 10^{-15}\) \\
1000 & 1229.35 & 1049.98 & 17.08 & 11.448 & \(2.2\times 10^{-16}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Comparison of the makespans of DSOS and eDSOS for the uniformly distributed dataset.