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Table 3 Overall comparison on OPTW test instances

From: Iterated local search algorithm for solving the orienteering problem with soft time windows

Set I3CH ABC VNS ILS ACS GVNS
Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s)
C100-100 0.0 16.9 0.1 0.8 0.1 <21.6 0.0 1.0 0.0 1.4 1.3 36.6
R100-100 0.6 19.2 1.0 1.1 0.1 <19.6 0.0 1.8 0.2 84.3 2.8 6.5
RC100-100 1.9 17.2 0.1 2.4 0.0 <14.4 0.0 1.0 0.0 31.5 3.7 2.2
PR01-10 1.1 73.0 1.5 24.3 1.1 <163.7 0.7 50.4 1.2 357.9 1.6 2.7
C200-100 0.4 56.5 0.5 3.4 0.2 <123.2 0.1 90.0 0.6 75.4 1.1 42.3
R200-100 1.4 118.1 2.1 8.2 1.4 <234.5 1.3 162.1 3.5 342.5 3.8 7.4
RC200-100 2.8 79.9 1.8 7.5 1.5 <191.3 1.1 120.5 2.2 191.3 4.1 3.5
PR11-20 4.3 87.2 3.6 32.4 3.4 <230.1 2.1 97.9 11.9 195.3 4.3 5.3
Set GRASP-ELS SSA IterLS FSA DABC HILS
Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s) Gap (%) CPU (s)
C100-100 0.0 5.0 0.0 11.2 1.2 0.2 0.9 0.3 1.7 ≤11.6 0.3 0.2
R100-100 0.2 0.8 0.1 12.3 2.0 0.2 3.2 0.1 2.6 ≤17.0 0.6 0.3
RC100-100 0.4 0.4 0.0 11.8 3.1 0.2 7.4 0.1 5.5 ≤19.2 3.5 0.1
PR01-10 1.5 1.1 1.0 59.5 4.7 1.0 5.3 1.0 6.8 1.2
C200-100 0.6 7.1 0.1 19.9 2.3 0.9 1.1 0.9 0.6 ≤72.2 0.8 2.6
R200-100 2.0 2.5 1.7 24.3 3.3 0.9 3.9 0.9 1.0 ≤90.9 5.1 8.3
RC200-100 2.3 1.8 1.1 26.7 3.6 0.8 5.5 0.8 1.8 ≤72.0 4.9 3.9
PR11-20 3.4 1.7 3.7 86.1 9.6 1.1 10.2 1.1 9.4 2.7
Set GA ACS*
Gap (%) CPU (s) Gap (%) CPU (s)
C100-100 1.1 ≤0.2 0.0 1.4
R100-100 1.8 ≤0.2 0.2 84.8
RC100-100 2.4 ≤0.2 0.0 31.7
PR01-10 1.2 359.8
C200-100 2.5 ≤0.7 0.6 75.8
R200-100 7.1 ≤1.4 3.2 344.4
RC200-100 7.6 ≤1.1 2.0 341.7
PR11-20 11.9 196.4