Research Article
Data-Driven Robust Optimization of the Vehicle Routing Problem with Uncertain Customers
Table 2
CVRP set A standard instance test results.
| Instance | BKS | LNS-ACO [24] | HVNSOS [25] | OHGA [26] | HH-QL | Min | DEV% | Min | DEV% | Min | DEV% | Min | Avg | DEV% |
| A-n32-k5 | 784 | 784 | 0 | 748 | 0 | 748 | 0 | 784 | 784 | 0 | A-n33-k5 | 661 | 661 | 0 | 661 | 0 | 661 | 0 | 661 | 661 | 0 | A-n33-k6 | 742 | 742 | 0 | 742 | 0 | 742 | 0 | 742 | 742 | 0 | A-n34-k5 | 778 | 778 | 0 | 778 | 0 | 778 | 0 | 778 | 778 | 0 | A-n36-k5 | 799 | 799 | 0 | 799 | 0 | 799 | 0 | 799 | 799 | 0 | A-n37-k5 | 669 | 669 | 0 | 669 | 0 | 669 | 0 | 669 | 669 | 0 | A-n37-k6 | 949 | 949 | 0 | 949 | 0 | 949 | 0 | 949 | 950 | 0 | A-n38-k5 | 730 | 730 | 0 | 730 | 0 | 730 | 0 | 730 | 730 | 0 | A-n39-k5 | 822 | 822 | 0 | 822 | 0 | 822 | 0 | 822 | 824 | 0 | A-n39-k6 | 831 | 831 | 0 | 831 | 0 | 833 | 0.24 | 831 | 833 | 0 | A-n44-k6 | 937 | 937 | 0 | 937 | 0 | 937 | 0 | 937 | 939 | 0 | A-n45-k6 | 944 | 958 | 1.48 | 944 | 0 | 953 | 0.95 | 944 | 960 | 0 | A-n45-k7 | 1146 | 1146 | 0 | 1146 | 0 | 1146 | 0 | 1146 | 1149 | 0 | A-n46-k7 | 914 | 914 | 0 | 914 | 0 | 914 | 0 | 914 | 914 | 0 | A-n48-k7 | 1073 | 1084 | 1.03 | 1073 | 0 | 1073 | 0 | 1073 | 1074 | 0 | A-n53-k7 | 1010 | 1010 | 0 | 1010 | 0 | 1017 | 0.69 | 1010 | 1016 | 0 | A-n54-k7 | 1167 | 1167 | 0 | 1167 | 0 | 1167 | 0 | 1167 | 1171 | 0 | A-n55-k9 | 1073 | 1073 | 0 | 1073 | 0 | 1074 | 0.09 | 1073 | 1074 | 0 | A-n60-k9 | 1354 | 1354 | 0 | 1354 | 0 | 1355 | 0.07 | 1354 | 1358 | 0 | A-n61-k9 | 1034 | 1067 | 3.19 | 1035 | 0.09 | 1035 | 0.10 | 1035 | 1061 | 0.10 | A-n62-k8 | 1288 | 1308 | 1.55 | 1291 | 0.23 | 1308 | 1.55 | 1291 | 1305 | 0.23 | A-n63-k9 | 1616 | 1649 | 2.04 | 1628 | 0.74 | 1630 | 0.87 | 1616 | 1629 | 0 | A-n63-k10 | 1314 | 1329 | 1.14 | 1319 | 0.38 | 1329 | 1.14 | 1318 | 1321 | 0.03 | A-n64-k9 | 1401 | 1415 | 1.00 | 1414 | 0.93 | 1416 | 1.07 | 1412 | 1418 | 0.79 | A-n65-k9 | 1174 | 1185 | 0.94 | 1177 | 0.26 | 1184 | 0.85 | 1174 | 1179 | 0 | A-n69-k9 | 1159 | 1170 | 0.95 | 1159 | 0 | 1170 | 0.95 | 1159 | 1168 | 0 | A-n80-k10 | 1763 | 1815 | 2.95 | 1779 | 0.91 | 1790 | 1.53 | 1776 | 1789 | 0.74 | Average | | | 0.6 | | 0.13 | | 0.37 | | | 0.07 |
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