## 5 Results
### Guarda  
For the _Guarda_ cluster, the most advantageous option is to opt for the overtime scenario using 2 vehicles, as can be seen in Tables 12 and 13. There is a difference in cost of EUR 1095.56 and a difference of 50,000.00 g of CO\({}_{2}\) in emissions when compared with the alternate scenario. The optimized routes can be seen in Figures 17 and 18, taking 581 min and 525 min to be completed, respectively. The dots presented in the _Guarda_ tables are 3-_Aguiar da Beira_; 4-_Almeida_; 5-_Almeida_(_Vilar Formoso_); 19-_Calorico da Beira_; 32-_Figueira de Castelo Rodrigo_; 34-_Fornos de Algodres_; 37-_Gouveia_; 38-_Guarda_; 45-_Manteigas_; 48-_Mela_; 66-_Pinhel_; 69-_Sabugal_; 73-_Seia_; 81-_Tancoso_; 84-_Vila Nova de Foz C \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Maximum Time (min)** & \multicolumn{3}{c}{**480**} & \multicolumn{3}{c}{**585**} \\ \hline Vehicle & 1 & 2 & 3 & 1 & 2 \\ \hline Hourly Labor Cost (\(\mathbf{\xi}\)) & 2400.00 & 2400.00 & 2400.00 & 2400.00 & 2400.00 \\ \hline Overtime Cost (\(\mathbf{\xi}\)) & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\ \hline Fixed Cost per Vehicle (\(\mathbf{\xi}\)) & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 \\ \hline Fuel Cost (\(\mathbf{\xi}\)) & 104.44 & 102.89 & 94.00 & 129.11 & 116.67 \\ \hline Route Total Cost (\(\mathbf{\xi}\)) & 2604.44 & 2602.89 & 2594.00 & 3639.11 & 3066.67 \\ \hline Total Cost (\(\mathbf{\xi}\)) & \multicolumn{3}{c}{7801.33} & \multicolumn{3}{c}{6705.78} \\ \hline CO\({}_{2}\) Emission (g) & \multicolumn{3}{c}{271,200.00} & \multicolumn{3}{c}{221,200.00} \\ \hline \hline \end{tabular}
\end{table} 
Table 13: _Guarda_ cluster cost analysis. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Time** & **Vehicle** & **Results** \\ \hline \multirow{8}{*}{**480**} & \multirow{8}{*}{1} & \multirow{8}{*}{Route:} & Origin (min:0) \(\Rightarrow\) 19 (min: 121) \(\Rightarrow\) 66 (min:175) \\  & & & \(\Rightarrow\) 32 (min:220) \(\Rightarrow\) 84 (min: 275) \(\Rightarrow\) 48 (min: 320) \\  & & & \(\Rightarrow\) Origin (min: 470) \\ \cline{2-3}  & & Load (bottles): & 327 \\ \cline{2-3}  & & & Origin (min:0) \(\Rightarrow\) 38 (min: 125) \(\Rightarrow\) 5 (min: 171) \(\Rightarrow\) 4 (min: 204) \(\Rightarrow\) 5 (min: 230) \(\Rightarrow\) 45 (min: 313) \(\Rightarrow\) \\  & & & Origin (min: 463) \\ \cline{2-3}  & & Load (bottles): & 2967 \\ \cline{2-3}  & & & Origin (min:0) \(\Rightarrow\) 73 (min: 107) \(\Rightarrow\) 37 (min: 151) \\ \cline{2-3}  & & & \(\Rightarrow\) 34 (min: 199) \(\Rightarrow\) 3 (min: 243) \(\Rightarrow\) 81 (min: 288) \\  & & & \(\Rightarrow\) Origin (min: 423) \\ \cline{2-3}  & & Load (bottles): & 1234 \\ \hline \multirow{8}{*}{1} & \multirow{8}{*}{Route:} & Origin (min: 0) \(\Rightarrow\) 38 (min: 125) \(\Rightarrow\) 5 (min: 171) \(\Rightarrow\) 66 (min:215) \(\Rightarrow\) 32 (min: 260) \(\Rightarrow\) 4 (min: 298) \(\Rightarrow\) 69 (min: 324) \(\Rightarrow\) 45 (min: 407) \(\Rightarrow\) 73 (min: 474) \(\Rightarrow\) 73 (min: 581)} \\  & & Load (bottles): & 3909 \\ \cline{2-3}  & & & Origin (min: 0) \(\Rightarrow\) 34 (min: 118) \(\Rightarrow\) 3 (min: 162) \(\Rightarrow\) 81 (min: 207) \(\Rightarrow\) 48 (min: 252) \(\Rightarrow\) 84 (min: 297) \(\Rightarrow\) 19 (min: 359) \(\Rightarrow\) 37 (min: 406) \(\Rightarrow\) Origin (min: 525) \\ \cline{2-3}  & & Load (bottles): & 619 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Results of the _Guarda_ cluster. In total, 11 refrigated vehicles are needed for distribution on the 28 June 2022, so as not to compromise the integrity of the vaccines. This translates into a total cost of EUR 31,949.56 and a total of 998,600.00 g (998.60 kg) of CO\({}_{2}\) emissions. Please note that all overtime shown is paid per minute of delay. If the 480 min of daily work are not reached, the remaining time can be used to do warehouse work. Additionally, no van exceeded its capacity limit, and all vans transported less than 31,200 bottles. Therefore, this was the optimal solution found, with a minimization of transport time and costs.