# An On-Orbit Task-Offloading Strategy Based on Satellite Edge Computing
## 4 Algorithm Introduction and Simulation Analysis
### Statistical Analysis
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Sources** & **Variance** & **Degrees of Freedom** & **Mean Square** & **F-Value** \\ \hline Algorithms & \(SSR=\) 125,633.16 & \((a-1)=3\) & \(\Delta S_{R}^{2}=\frac{SSR}{a-1}\) 41,877.72 & \(Fr=\frac{\Delta S_{R}^{2}}{\Delta S_{R}^{2}}=2765.48\) \\ ISL bandwidth & \(SSC=\) 80,806.03 & \((b-1)=4\) & \(\Delta S_{C}^{2}=\frac{SSR}{a-1}\) 20,201.51 & \(Fc=\frac{\Delta S_{C}^{2}}{\Delta S_{C}^{2}}=1334.05\) \\ Error & \(SSE=181.72\) & \((a-1)(b-1)=12\) & \(\Delta S_{E}^{2}=\frac{SSR}{(a-1)(b-1)}=15.14\) & - \\ Total & \(SST=\) 206,620.90 & \((ab-1)=19\) & - & - \\ \hline Algorithms & \(SSR=\) 196,415.00 & \((a-1)=3\) & \(\Delta S_{R}^{2}=\frac{SSR}{a-1}\) 65,471.67 & \(Fr=\frac{\Delta S_{R}^{2}}{\Delta S_{R}^{2}}=1759.82\) \\ Computational complexity & \(SSC=\) 366,858.53 & \((b-1)=8\) & \(\Delta S_{C}^{2}=\frac{SSR}{a-1}\) 45,857.32 & \(Fc=\frac{\Delta S_{C}^{2}}{\Delta S_{E}^{2}}=1232.60\) \\ Error & \(SSE=\) 892.89 & \((a-1)(b-1)=24\) & \(\Delta S_{E}^{2}=\frac{(a-1)(b-1)}{(-1)(b-1)}=37.20\) & - \\ Total & \(SST=\) 564,166.42 & \((ab-1)=35\) & - & - \\ \hline Algorithms & \(SSR=\) 1,383,009.98 & \((a-1)=3\) & \(\Delta S_{R}^{2}=\frac{SSR}{a-1}\) = 461,003.33 & \(Fr=\frac{\Delta S_{C}^{2}}{\Delta S_{E}^{2}}=80.08\) \\ Subtasks original data quantity & \(SSC=\) 3,325,662.57 & \((b-1)=8\) & \(\Delta S_{C}^{2}=\frac{SSR}{a-1}\) 415,707.82 & \(Fc=\frac{\Delta S_{C}^{2}}{\Delta S_{E}^{2}}=72.21\) \\ Error & \(SSE=\) 138,166.68 & \((a-1)(b-1)=24\) & \(\Delta S_{E}^{2}=\frac{SSR}{(a-1)(b-1)}=5756.94\) & - \\ Total & \(SST=\) 4,846,839.23 & \((ab-1)=35\) & - & - \\ \hline Algorithms & \(SSR=\) 742,694.99 & \((a-1)=3\) & \(\Delta S_{R}^{2}=\frac{SSR}{a-1}\) 247,565.00 & \(Fr=\frac{\Delta S_{C}^{2}}{\Delta S_{C}^{2}}=32.51\) \\ \(\beta\) & \(SSC=\) 6,956,029.66 & \((b-1)=9\) & \(\Delta S_{C}^{2}=\frac{SSR}{a-1}\) 772,892.18 & \(Fc=\frac{\Delta S_{C}^{2}}{\Delta S_{C}^{2}}=101.5\) \\ Error & \(SSE=\) 205,587.88 & \((a-1)(b-1)=27\) & \(\Delta S_{E}^{2}=\frac{SSR}{(a-1)(b-1)}=7614.37\) & - \\ Total & \(SST=\) 7,904,312.53 & \((ab-1)=39\) & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 4: ANOVA results. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Scheduling** & **High-Load** & **High-Load** & **High-Load** & **High-Load** & **High-Load** & **High-Load** & **High-Load** & **Statellite** \\
**Algorithms** & **Satellite** & **Satellite** & **Satellite** & **Satellite** & **Satellite** & **Satellite** & **Proportions** & **Proportions** \\
**Algorithms** & **as 10\%** & **Proportions** & **as 20\%** & **as 30\%** & **as 40\%** & **as 50\%** & **as 60\%** & **as 70\%** \\ \hline BPSO & 532.41 & 559.63 & 623.39 & 672.36 & 746.15 & 871.16 & 963.73 \\ \hline GA & 397.12 & 432.65 & 476.35 & 528.73 & 592.66 & 655.53 & 731.26 \\ \hline GABPSO & 357.77 & 398.24 & 452.85 & 513.35 & 574.75 & 619.83 & 697.98 \\ \hline MPSO & 505.32 & 547.28 & 600.11 & 653.75 & 692.68 & 830.77 & 926.85 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Calculation parameters.