## 4 Experimental Results and Discussion
### Comparisons with Best Known Results
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Problem Type** & **MOLNSNV** & **MOLNTD** & **BPNV** & **BPTD** & **Reference** & **Time (sec)** & **Deviation (\%)** \\ \hline C201 & 3 & 591.56 & 3 & 589.1 & [36] & 18.5 & 0.42 \\ \hline C202 & 3 & 591.56 & 3 & 589.1 & [36] & 19.3 & 0.42 \\ \hline C203 & 3 & 591.56 & 3 & 591.17 & [42] & 25.6 & 0.07 \\ \hline C204 & 3 & 590.6 & 3 & 590.6 & [43] & 21.6 & 0.00 \\ \hline C205 & 3 & 588.88 & 3 & 586.4 & [36] & 22.5 & 0.42 \\ \hline C206 & 3 & 588.49 & 3 & 586 & [36] & 17.8 & 0.42 \\ \hline C207 & 3 & 588.29 & 3 & 585.8 & [36] & 17.2 & 0.43 \\ \hline C208 & 3 & 588.32 & 3 & 585.8 & [22] & 24.5 & 0.43 \\ \hline \multirow{4}{*}{R201} & 4 & 1305.25 & 4 & 1252.37 & [44] & 82.3 & 4.22 \\  & 5 & 1208.55 & 5 & 1193.29 & [24] & 82.3 & 1.28 \\  & 6 & 1174.98 & 6 & 1171.2 & [24] & 82.3 & 0.32 \\  & 7 & 1156.73 & 7 & 1173.75 & [23] & 82.3 & -145 \\ \hline \multirow{2}{*}{R202} & 4 & 1093.67 & 4 & 1079.39 & [24] & 78.2 & 1.32 \\  & 5 & 1065.73 & 5 & 1041.1 & [24] & 78.2 & 2.37 \\ \hline \multirow{2}{*}{R203} & 4 & 915.43 & 4 & 901.2 & [24] & 65.2 & 1.58 \\  & 5 & 901.72 & 5 & 890.50 & [23] & 65.2 & 1.26 \\ \hline \multirow{2}{*}{R204} & 3 & 775.99 & 3 & 749.42 & [24] & 72.3 & 3.55 \\  & 4 & 750.32 & 4 & 743.23 & [24] & 72.3 & 0.95 \\ \hline \multirow{2}{*}{R205} & 3 & 1075.1 & 3 & 994.43 & [45] & 68.9 & 8.11 \\  & 4 & 975.21 & 4 & 959.74 & [25] & 68.9 & 1.61 \\  & 5 & 964.23 & 5 & 954.1 & [23] & 68.9 & 1.06 \\ \hline \multirow{2}{*}{R206} & 3 & 979.21 & 3 & 906.14 & [46] & 62.3 & 8.06 \\  & 4 & 909.83 & 4 & 889.39 & [23] & 62.3 & 2.30 \\  & 5 & 907.35 & 5 & 879.89 & [47] & 62.3 & 3.12 \\ \hline \multirow{2}{*}{R207} & 3 & 851.89 & 3 & 812.76 & [24] & 61.9 & 4.81 \\ \hline \multirow{2}{*}{R208} & 2 & 754.99 & 2 & 725.75 & [48] & 68.5 & 4.03 \\  & 3 & 731.84 & 3 & 706.86 & [47] & 68.5 & 3.53 \\ \hline \multirow{2}{*}{R209} & 4 & 898.23 & 4 & 864.15 & [24] & 58.6 & 3.94 \\ \hline \multirow{2}{*}{R210} & 4 & 941.58 & 4 & 924.79 & [24] & 52.9 & 1.82 \\  & 3 & 838.14 & 3 & 767.82 & [49] & 56.5 & 9.16 \\  & 4 & 782.75 & 4 & 755.82 & [50] & 56.5 & 3.56 \\ \hline \multirow{2}{*}{RC201} & 4 & 1497.89 & 4 & 1406.91 & [48] & 38.9 & 6.47 \\  & 5 & 1329.59 & 5 & 1279.65 & [37] & 38.9 & 3.90 \\  & 6 & 1296.83 & - & - & - & 38.9 & - \\  & 7 & 1284.48 & 7 & 1273.51 & [24] & 38.9 & 0.86 \\  & 8 & 1281.81 & 8 & 1272.28 & [24] & 38.9 & 0.75 \\ \hline \multirow{2}{*}{RC202} & 4 & 1199.53 & 4 & 1162.54 & [23] & 36.5 & 3.18 \\  & 5 & 1140.2 & 5 & 1186.66 & [22] & 36.5 & 1.93 \\  & 7 & 1109.21 & - & - & - & 36.5 & - \\ \hline \multirow{2}{*}{RC203} & 8 & 1104.94 & 8 & 1099.54 & [47] & 36.5 & 0.49 \\ \hline \multirow{2}{*}{RC204} & 4 & 985.54 & 4 & 945.08 & [24] & 32.1 & 1.42 \\  & 5 & 938.04 & 5 & 926.82 & [24] & 32.1 & 1.21 \\ \hline \multirow{2}{*}{RC204} & 3 & 805.46 & 3 & 798.41 & [48] & 31.8 & 0.88 \\  & 5 & 1340.38 & 5 & 1236.78 & [48] & 33.6 & 8.38 \\  & 6 & 1223.50 & 6 & 1187.98 & [24] & 33.6 & 2.99 \\  & 7 & 1162.43 & 7 & 1161.81 & [41] & 33.6 & 0.05 \\ \hline \multirow{2}{*}{RC206} & 3 & 1316.42 & 3 & 1146.32 & [44] & 34.1 & 14.84 \\  & 4 & 1121.83 & 4 & 1081.83 & [24] & 34.1 & 3.70 \\  & 5 & 1097.07 & 5 & 1068.77 & [24] & 34.1 & 2.65 \\ \hline \multirow{2}{*}{RC207} & 4 & 1031.62 & 4 & 1001.85 & [25] & 32.5 & 2.97 \\  & 5 & 970.78 & 5 & 982.58 & [23] & 32.5 & -120 \\ \hline \multirow{2}{*}{RC208} & 3 & 859.13 & 3 & 828.14 & [14] & 31.0 & 3.74 \\  & 4 & 810.99 & 4 & 783.035 & [24] & 31.0 & 3.57 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: [PERSON] instances with long scheduling horizon: comparison of our MOLNS with the best-published results. Finally, in [PERSON]'s benchmark instances, the number of customers vary from 200 to 1000. In the current research, the algorithm was tested in instances with 1000 customers in order to identify its efficiency in terms of quality of results and computational time, when the number of customers is extremely high. These instances, as in the case of [PERSON]'s, are categorized into six cases: C1, C2, R1, R2, RC1 and RC2.