## 5 Experimental Results and Analysis
### Comparison Experiments
The demonstrated effectiveness of this algorithm in addressing complex logistics issues significantly enhances the credibility of our research findings and provides promising directions for future applications in the field. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Client Point Size**} & \multirow{2}{*}{**Experiment No. **} & \multicolumn{2}{c}{**MOPSO-GA**} & \multicolumn{2}{c}{**MOGA-VNS**} & \multicolumn{2}{c}{**MODRL-SIA**} \\ \cline{3-8}  & & **HV** & **IGD** & **HV** & **IGD** & **HV** & **IGD** \\ \hline \multirow{8}{*}{Number of customer points is 30} & Example 1 & 1.312 & 1.085 & 1.021 & 1.179 & 1.307 & **1.084** \\  & Example 2 & 1.263 & 1.100 & 1.021 & 1.179 & **1.362** & **1.060** \\  & Example 3 & 1.262 & **1.096** & 1.021 & 1.179 & **1.297** & **1.096** \\  & Example 4 & 1.417 & 1.057 & 1.100 & 1.142 & **1.449** & **1.038** \\ \cline{1-1}  & Example 5 & **1.394** & **1.068** & 1.100 & 1.142 & 1.327 & 1.082 \\ \cline{1-1}  & Example 6 & **1.425** & **1.061** & 1.126 & 1.139 & 1.327 & 1.082 \\ \cline{1-1}  & Example 7 & 1.287 & 1.097 & 1.048 & 1.174 & **1.424** & **1.049** \\ \cline{1-1}  & Example 8 & **1.381** & 1.068 & 1.021 & 1.179 & 1.362 & **1.060** \\ \cline{1-1}  & Example 9 & **1.438** & **1.058** & 1.019 & 1.196 & 1.330 & 1.069 \\ \cline{1-1}  & Example 10 & **1.488** & **1.043** & 1.050 & 1.174 & 1.342 & 1.062 \\ \hline \multirow{8}{*}{Number of customer points is 50} & Example 11 & 1.282 & 1.159 & 0.856 & 1.296 & **1.325** & **1.126** \\  & Example 12 & 1.037 & 1.219 & 0.769 & 1.335 & **1.457** & **1.120** \\ \cline{1-1}  & Example 13 & 1.133 & 1.182 & 0.808 & 1.298 & **1.350** & **1.148** \\ \cline{1-1}  & Example 14 & **1.217** & 1.196 & 1.013 & 1.209 & 1.208 & **1.171** \\ \cline{1-1}  & Example 15 & 1.078 & 1.191 & 0.808 & 1.298 & **1.239** & **1.124** \\ \cline{1-1}  & Example 16 & 1.010 & 1.233 & 1.013 & 1.209 & **1.350** & **1.148** \\ \cline{1-1}  & Example 17 & 1.287 & 1.142 & 0.805 & 1.299 & **1.362** & **1.120** \\ \cline{1-1}  & Example 18 & 1.133 & 1.176 & 0.849 & 1.297 & **1.331** & **1.138** \\ \cline{1-1}  & Example 19 & 1.147 & 1.179 & 0.851 & 1.297 & **1.463** & **1.107** \\ \cline{1-1}  & Example 20 & 1.069 & 1.207 & 0.809 & 1.336 & **1.463** & **1.107** \\ \hline \multirow{8}{*}{Number of customer points is 80} & Example 21 & 1.168 & 1.215 & 0.596 & 1.484 & **1.448** & **1.080** \\ \cline{1-1}  & Example 22 & 1.157 & 1.186 & 0.583 & 1.493 & **1.481** & **1.064** \\ \cline{1-1}  & Example 23 & 1.110 & 1.228 & 0.633 & 1.469 & **1.327** & **1.143** \\ \cline{1-1}  & Example 24 & 1.100 & 1.247 & 0.567 & 1.526 & **1.503** & **1.073** \\ \cline{1-1}  & Example 25 & 1.148 & 1.202 & 0.456 & 1.593 & **1.503** & **1.073** \\ \cline{1-1}  & Example 26 & 1.154 & 1.190 & 0.483 & 1.578 & **1.503** & **1.073** \\ \cline{1-1}  & Example 27 & 1.043 & 1.251 & 0.654 & 1.465 & **1.503** & **1.073** \\ \cline{1-1}  & Example 28 & 1.018 & 1.254 & 0.499 & 1.596 & **1.327** & **1.143** \\ \cline{1-1}  & Example 29 & 1.176 & 1.230 & 0.654 & 1.465 & **1.183** & **1.192** \\ \cline{1-1}  & Example 30 & 1.139 & 1.214 & 0.482 & 1.600 & **1.502** & **1.060** \\ \hline \multirow{8}{*}{Number of customer points is 80} & Example 31 & 1.031 & 1.257 & 0.391 & 1.688 & **1.209** & **1.125** \\ \cline{1-1}  & Example 32 & 1.054 & 1.254 & 0.308 & 1.774 & **1.474** & **1.058** \\ \cline{1-1}  & Example 33 & 1.137 & 1.219 & 0.436 & 1.664 & **1.209** & **1.125** \\ \cline{1-1}  & Example 34 & 1.07 & 1.209 & 0.480 & 1.585 & **1.476** & **1.018** \\ \cline{1-1}  & Example 35 & 1.076 & 1.227 & 0.422 & 1.684 & **1.476** & **1.018** \\ \cline{1-1}  & Example 36 & 1.042 & 1.230 & 0.452 & 1.640 & **1.491** & **1.058** \\ \cline{1-1}  & Example 37 & 1.027 & 1.250 & 0.492 & 1.612 & **1.224** & **1.125** \\ \cline{1-1}  & Example 38 & 1.058 & 1.227 & 0.492 & 1.612 & **1.491** & **1.058** \\ \cline{1-1}  & Example 39 & 1.168 & 1.192 & 0.492 & 1.612 & **1.224** & **1.125** \\ \cline{1-1}  & Example 40 & 1.052 & 1.234 & 0.492 & 1.612 & **1.491** & **1.058** \\ \hline \