## 6 Example Solution and Analysis
### Sensitivity Analysis
#### 6.3.2 Effectiveness of Comprehensive Cost Reduction
The above parameters were recalculated using the refrigerant storage consumption date from May to August, and the comparison between the new results is shown in Table 10. The graph comparing the five methods is shown in Figure 12.  
R1, R2, R3, R4, R5, R6, and R7 represent the seven regions, COST represents the comprehensive logistics cost, and CE represents the carbon emissions. It is obvious that the refrigerant-related costs increase due to seasonal temperature variations (Table 9). However, our improved algorithm still effectively reduced the comprehensive cost and carbon emissions. Compared with the traditional distribution scheme, the traditional grey wolf algorithm, the ant colony algorithm, and the large neighborhood search algorithm, the comprehensive logistics cost is reduced by 2.68%, 2.16%, 4.33%, and 5.23%, respectively, and the carbon emissions are reduced by 27.90%, 10.71%, 15.43%, and 18.58%, respectively. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Region** & \
\begin{tabular}{c} **Transportation** \\ **Consumption** \\ \end{tabular} & **IGWO** &
\begin{tabular}{c} **Traditional Distribution** \\ **Method** \\ \end{tabular} & **GWO** & **AG** & **LNS** \\ \hline \multirow{3}{*}{1} & Delivery method & Vans & Refrigerated trucks & Refrigerated & Refrigerated & Refrigerated \\  & Logistics cost/RMB & 3613.6170 & 3720.26 & 3729.60 & 4977.64 & 5401.46 \\  & Carbon emissions/t & 0.574 & 1.34 & 1.375 & 1.835 & 1.991 \\ \hline \multirow{3}{*}{2} & Delivery method & Vans & Refrigerated trucks & Vans & Vans & Vans \\  & Logistics cost/RMB & 3362.29 & 3783.01 & 1668.777 & 2308.12 & 2378.40 \\  & Carbon emissions/t & 0.584 & 1.362 & 0.439 & 0.439 & 0.480 \\ \hline \multirow{3}{*}{3} & Delivery method & Refrigerated & Refrigerated trucks & Refrigerated & Vans & Vans \\  & Logistics cost/RMB & 3011.86 & 3011.86 & 3124.47 & 2865.17 & 2761.64 \\  & Carbon emissions/t & 1.11 & 1.11 & 1.152 & 0.575 & 0.565 \\ \hline \multirow{3}{*}{4} & Delivery method & Refrigerated & Refrigerated trucks & Vans & Vans & Vans \\  & Logistics cost/RMB & 2735.10 & 2735.10 & 4531.0513 & 3979.59 & 2993.99 \\  & Carbon emissions/t & 1.008 & 1.008 & 0.749 & 0.781 & 0.575 \\ \hline \multirow{3}{*}{5} & Delivery method & Refrigerated & Refrigerated trucks & Refrigerated & Refrigerated & Refrigerated \\  & Logistics cost/RMB & 2960.33 & 2960.33 & 2837.450 & 3331.25 & 2969.35 \\  & Carbon emissions/t & 1.091 & 1.091 & 1.058 & 1.228 & 1.094 \\ \hline \multirow{3}{*}{6} & Delivery method & Refrigerated & Refrigerated trucks & Refrigerated & Refrigerated & Refrigerated \\  & Logistics cost/RMB & 3035.86 & 3035.86 & 3983.98 & 2946.48 & 4181.09 \\  & Carbon emissions/t & 1.119 & 1.119 & 1.468 & 1.086 & 1.541 \\ \hline \multirow{3}{*}{7} & Distribution method & Vans & Refrigerated trucks & Vans & Refrigerated & Refrigerated \\  & Logistics cost/RMB & 4044.95 & 4514.45 & 3759.303 & 3762.25 & 3714.27 \\ \cline{1-1}  & Carbon emissions/t & 0.714 & 1.507 & 0.703 & 1.387 & 1.369 \\ \hline \multirow{3}{*}{Total} & Logistics cost/RMB & 23,124.01 & 23,760.87 & 23,634.63 & 24,170.49 & 24,400.20 \\ \cline{1-1}  & Carbon emissions/t & 6.2 & 8.599 & 6.944 & 7.331 & 7.615 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Comparison table of cost and carbon emissions of five methods from May to August.