Research Article

An Efficient Two-Objective Hybrid Local Search Algorithm for Solving the Fuel Consumption Vehicle Routing Problem

Table 6

Comparison between HLS and TOHLS when  (m).

Num Instances SlopeDegree (%)HLS (fuel consumption g)TOHLS (percentage of HLS)

1Golden200 0.85 15362 14340 14004 13764 95.05 96.30 96.51 99.20
2Golden240-1 0.46 23257 21787 21001 20532 94.52 95.66 97.95 99.84
3Golden240-2 0.62 109506 102754 99391 96499 95.01 96.00 96.15 101.96
4Golden252 0.62 112108 104938 100907 98835 94.58 95.71 95.32 101.21
5Golden255 0.44 194771 180280 174719 173283 94.32 96.44 95.94 100.15
6Golden280 0.55 20332 18756 18192 17650 93.22 94.40 96.66 101.68
7Golden300 0.80 79789 73536 70472 69125 91.26 94.96 95.75 97.75
8Golden320-1 0.61 25602 23703 22353 22237 90.58 93.99 95.95 96.14
9Golden320-2 0.68 93881 87009 82038 81793 91.42 93.39 95.04 96.35
10Golden323 0.56 152931 141203 134915 133108 90.84 93.42 94.68 98.60
11Golden360-1 0.70 25209 22926 21707 21624 89.22 92.47 95.96 97.18
12Golden360-2 1.01 58882 54023 51342 50186 89.37 91.46 95.85 96.66
13Golden396 0.84 82670 75431 70798 69388 88.33 92.53 95.82 95.28
14Golden399 0.84 125088 112599 106819 104470 88.31 91.73 95.78 101.08
15Golden400 0.78 27921 25116 23953 23622 87.98 91.05 96.15 96.46
16Golden420 1.25 49122 44707 41595 41042 85.99 90.30 94.03 98.54
17Golden440 0.86 29214 26152 24487 24001 85.97 90.74 93.02 101.06
18Golden480-1 0.95 27753 24649 23155 22552 84.85 89.12 94.48 100.61
19Golden480-2 1.03 73902 66191 61692 60096 85.61 89.63 92.02 97.52
20Golden483 0.85 103757 93077 85876 84082 86.27 89.15 91.53 95.74
Average 0.77 90.14 92.92 95.23 98.65