## 5 Computational Study
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**n**} & \multirow{2}{*}{**m**} & \multirow{2}{*}{**Type**} & \multirow{2}{*}{**Instances**} & \multicolumn{3}{c}{**MILP1**} & \multicolumn{3}{c}{**MILP2**} & \multicolumn{3}{c}{**MILP3**} \\ \cline{3-14}  & & & & **OF (TND)** & **CPU (Sed)** & **Nodes** & **OF (TND)** & **CPU (Sed)** & **Nodes** & **OF (TND)** & **CPU (Sed)** & **Nodes** \\ \hline \multirow{4}{*}{5} & 1 & S & Inst5.1001 & 1.780 & 0.03 & 49 & 1.200 & 0.48 & 589 & 1.780 & 0.03 & 52 \\ \cline{2-14}  & - & B & Inst5.1002 & 1.780 & 0.08 & 55 & 1.200 & 4.32 & 5701 & 1.780 & 0.09 & 55 \\ \cline{2-14}  & 2 & S & Inst5.1003 & 1.780 & 0.1 & 128 & 1.200 & 39.17 & 16,901 & 1.780 & 0.1 & 133 \\ \cline{2-14}  & - & B & Inst5.1004 & 2.660 & 0.3 & 528 & 1.200 & 53.83 & 26,082 & 2.660 & 0.3 & 687 \\ \cline{2-14}  & - & B & Inst5.1005 & 1.780 & 0.1 & 127 & 1.200 & 67.72 & 19,848 & 1.780 & 0.1 & 145 \\ \hline \multirow{4}{*}{5} & 1 & S & Inst5.1006 & 3.980 & 0.09 & 38 & 2.770 & 2729.4 & 5,099,447 & 3.980 & 0.09 & 37 \\ \cline{2-14}  & - & B & Inst5.1007 & 4.030 & 0.06 & 47 & 2.770 & 251.3 & 427,744 & 3.980 & 0.08 & 24 \\ \cline{2-14}  & 2 & S & Inst5.1008 & 3.980 & 0.05 & 32 & 2.770 & 309.8 & 410,657 & 3.980 & 0.09 & 32 \\ \cline{2-14}  & - & B & Inst5.1009 & 4.700 & 0.2 & 260 & 2.770 & 3899.9 & 2,764,520 & 3.980 & 0.17 & 75 \\ \hline \multirow{4}{*}{6} & 1 & S & Inst6.1001 & 2.200 & 0.1 & 155 & 1.510 & 267 & 232,811 & 2.200 & 0.2 & 173 \\ \cline{2-14}  & - & B & Inst6.1002 & 2.200 & 0.1 & 139 & 1.510 & 0.8 & 405 & 2.200 & 0.1 & 158 \\ \cline{2-14}  & 2 & S & Inst6.2003 & 2.600 & 1 & 1630 & 1.510 & 42.9 & 13,972 & 2.200 & 0.5 & 668 \\ \cline{2-14}  & - & B & Inst6.2004 & 3.010 & 0.9 & 1263 & 1.510 & 499.4 & 230,267 & 2.600 & 1 & 1515 \\ \cline{2-14}  & - & B & Inst6.2005 & 3.010 & 1.3 & 2401 & 1.510 & 255.6 & 101,203 & 2.200 & 0.3 & 366 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Low demand and customers number instances. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**n**} & \multirow{2}{*}{**m**} & \multirow{2}{*}{**Type**} & \multirow{2}{*}{**Instances**} & \multicolumn{3}{c}{**MILP1**} & \multicolumn{3}{c}{**MILP2**} & \multicolumn{3}{c}{**MILP3**} \\ \cline{3-14}  & & & & **OF (TND)** & **CPU (Sed)** & **Nodes** & **OF (TND)** & **CPU (Sed)** & **Nodes** & **OF (TND)** & **CPU (Sed)** & **Nodes** \\ \hline \multirow{4}{*}{8} & 1 & S & Inst8.1001 & 3.810 & 9.4 & 13,954 & - & - & - & 3.818 & 9.2 & 13,726 \\ \cline{2-14}  & - & B & Inst8.1002 & 3.810 & 1.3 & 1275 & - & - & 3.818 & 7 & 12,425 \\ \cline{2-14}  & 2 & S & Inst8.2003 & 5.770 & 81.6 & 92,173 & - & - & - & 5.580 & 145.7 & 187,467 \\ \cline{2-14}  & - & B & Inst8.2004 & 10.750 & 120.7 & 137,284 & - & - & - & 7.540 & 515.7 & 506,652 \\ \cline{2-14}  & 3 & S & Inst8.3005 & 5.580 & 22.08 & 299,822 & - & - & - & 3.810 & 47.5 & 60,144 \\ \cline{2-14}  & - & B & Inst8.3006 & 5.580 & 138.5 & 12,515.5 & - & - & - & 5.580 & 349 & 410,268 \\ \hline \multirow{4}{*}{10} & 2 & S & Inst10.201 & 2.870 & 17 & 1810 & - & - & - & 2.750 & 25.32 & 26,275 \\ \cline{2-14}  & - & B & Inst10.2002 & 3.170 & 394.5 & 418,597 & - & - & - & 3.160 & 2030.4 & 2,181,194 \\ \cline{1-1} \cline{2-14}  & 3 & S & Inst10.3003 & 3.170 & 6176.4 & 3,682,568 & - & - & - & 2.750 & 242.4 & 196,425 \\ \cline{1-1} \cline{2-14}  & - & B & Inst10.3004 & 3.170 & 1619.2 & 1,134,364 & - & - & - & 3.160 & 5337.8 & 3,738,052 \\ \hline \multirow{4}{*}{12} & 2 & S & Inst12.2001 & 3.270 & 3464 & 2,127,116 & - & - & - & 2.860 & 57.2 & 32,994 \\ \cline{1-1} \cline{2-14}  & - & B & Inst12.2002 & 4.020 & 9002.5 & 7,765,020 & - & - & - & 2.860 & 45 & 37,430 \\ \cline{1-1} \cline{2-14}  & 3 & S & Inst12.3003 & 3.270 & 5327.2 & 2,369,060 & - & - & - & 2.860 & 244.9 & 92,847 \\ \cline{1-1} \cline{2-14}  & - & B & Inst12.3004 & 3.730 & 39,770.