## 5 Computational Experiments and Discussion
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Instance** & **Depot** & **Vehicle** & **Route** & \multicolumn{3}{c}{**Cost**} \\ \cline{5-8}  & & & **Depot** & **Distance** & **Inventory** & **Total** \\ \hline Perl 1 & D1 & V1 & D1\(\rightarrow\)9\(\rightarrow\)8\(\rightarrow\)6\(\rightarrow\)1\(\rightarrow\)2\(\rightarrow\)3\(\rightarrow\)7\(\rightarrow\)D1 & 100 & 44.34 & 59.36 & **263.27** \\  & & V2 & D1\(\rightarrow\)10\(\rightarrow\)12\(\rightarrow\)11\(\rightarrow\)5\(\rightarrow\)4\(\rightarrow\)D1 & 59.63 & & & \\ \hline  & & V1 & D5\(\rightarrow\)38\(\rightarrow\)54\(\rightarrow\)39\(\rightarrow\)55\(\rightarrow\)43\(\rightarrow\)D5 & 48.85 & & & \\  & & V2 & D5\(\rightarrow\)23\(\rightarrow\)28\(\rightarrow\)12\(\rightarrow\)17\(\rightarrow\)22\(\rightarrow\)30\(\rightarrow\)D5 & 240 & 47.56 & 123.90 & \\  & & V3 & D5\(\rightarrow\)33\(\rightarrow\)37\(\rightarrow\)31\(\rightarrow\)29\(\rightarrow\)19\(\rightarrow\)50 & 28.78 & & & \\  & & V4 & D5\(\rightarrow\)33\(\rightarrow\)14\(\rightarrow\)27\(\rightarrow\)16\(\rightarrow\)32\(\rightarrow\)45\(\rightarrow\)D5 & 52.26 & & & \\ \hline Perl 2 & & V5 & D10\(\rightarrow\)13\(\rightarrow\)1\(\rightarrow\)2\(\rightarrow\)42\(\rightarrow\)9\(\rightarrow\)D10 & 18.45 & & & \\  & & V6 & D10\(\rightarrow\)6\(\rightarrow\)10\(\rightarrow\)21\(\rightarrow\)51\(\rightarrow\)37\(\rightarrow\)47\(\rightarrow\)D10 & 56.42 & & & \\  & & V7 & D10\(\rightarrow\)44\(\rightarrow\)46\(\rightarrow\)52\(\rightarrow\)50\(\rightarrow\)53\(\rightarrow\)D10 & 62.37 & & & \\  & & V8 & D10\(\rightarrow\)51\(\rightarrow\)11\(\rightarrow\)D10 & 3.41 & & & \\ \hline  & & V9 & D12\(\rightarrow\)36\(\rightarrow\)35\(\rightarrow\)24\(\rightarrow\)26\(\rightarrow\)18\(\rightarrow\)15\(\rightarrow\)D12 & 240 & 40.02 & & \\  & & V10 & D12\(\rightarrow\)41\(\rightarrow\)20\(\rightarrow\)49\(\rightarrow\)48\(\rightarrow\)25\(\rightarrow\)D12 & 35.08 & 122.15 & & \\ \hline  & & V1 & D2\(\rightarrow\)54\(\rightarrow\)59\(\rightarrow\)58\(\rightarrow\)39\(\rightarrow\)56\(\rightarrow\)57\(\rightarrow\)40\(\rightarrow\)55\(\rightarrow\)D2 & 69.27 & & & \\  & & V2 & D2\(\rightarrow\)26\(\rightarrow\)61\(\rightarrow\)56\(\rightarrow\)68\(\rightarrow\)69\(\rightarrow\)27\(\rightarrow\)16\(\rightarrow\)D2 & 44.90 & & & \\  & & V3 & D2\(\rightarrow\)21\(\rightarrow\)78\(\rightarrow\)75\(\rightarrow\)72\(\rightarrow\)73\(\rightarrow\)29\(\rightarrow\)30\(\rightarrow\)D2 & 372 & 43.98 & 171.63 & \\  & & V4 & D2\(\rightarrow\)63\(\rightarrow\)14\(\rightarrow\)70\(\rightarrow\)71\(\rightarrow\)12\(\rightarrow\)73\(\rightarrow\)74\(\rightarrow\)72\(\rightarrow\)D2 & 44.75 & & & \\  & & V5 & D2\(\rightarrow\)32\(\rightarrow\)38\(\rightarrow\)24\(\rightarrow\)45\(\rightarrow\)33\(\rightarrow\)D2 & 26.34 & & & \\ \hline  & & V6 & D4\(\rightarrow\)44\(\rightarrow\)42\(\rightarrow\)45\(\rightarrow\)51\(\rightarrow\)37\(\rightarrow\)38\(\rightarrow\)5\(\rightarrow\)D4 & 37.06 & & & \\  & & V7 & D4\(\rightarrow\)44\(\rightarrow\)46\(\rightarrow\)480\(\rightarrow\)52\(\rightarrow\)46\(\rightarrow\)43\(\rightarrow\)34\(\rightarrow\)1\(\rightarrow\)D4 & 372 & 63.27 & 140.58 & \\  & & V8 & D4\(\rightarrow\)47\(\rightarrow\)53\(\rightarrow\)50\(\rightarrow\)81\(\rightarrow\)83\(\rightarrow\)67\(\rightarrow\)82\(\rightarrow\)11\(\rightarrow\)D4 & 51.73 & & & \\ \hline  & & V9 & D6\(\rightarrow\)49\(\rightarrow\)76\(\rightarrow\)51\(\rightarrow\)79\(\rightarrow\)13\(\rightarrow\)78\(\rightarrow\)21\(\rightarrow\)20\(\rightarrow\)D6 & 53.65 & & & \\  & & V10 & D6\(\rightarrow\)24\(\rightarrow\)37\(\rightarrow\)77\(\rightarrow\)10\(\rightarrow\)60\(\rightarrow\)9\(\rightarrow\)6\(\rightarrow\)41\(\rightarrow\)D6 & 372 & 39.54 & 120.73 & \\  & & V11 & D6\(\rightarrow\)25\(\rightarrow\)36\(\rightarrow\)85\(\rightarrow\)18\(\rightarrow\)84\(\rightarrow\)26\(\rightarrow\)35\(\rightarrow\)48\(\rightarrow\)D5 & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Distribution of routes and costs for Perl dataset generated by HS-SA for LIRP.