Research Article

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

Table 8

Comparison between HLS and TOHLS when  (m).

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

1Golden200 4.25 5031 4755 4540 4527 92.11 93.04 94.31 98.37
2Golden240-1 2.30 7914 7443 7070 6980 92.54 95.00 95.05 94.72
3Golden240-2 3.10 26936 25023 24356 23936 91.07 92.99 93.08 98.58
4Golden252 3.08 28830 27057 25759 25705 91.39 93.54 93.24 99.22
5Golden255 2.21 42113 39456 37685 37518 92.96 94.40 96.44 95.84
6Golden280 2.74 7045 6508 6231 6202 91.74 93.70 96.71 95.79
7Golden300 4.01 23740 22107 20943 20607 88.71 90.40 92.69 96.77
8Golden320-1 3.06 8941 8138 7851 7771 89.85 92.41 93.49 92.93
9Golden320-2 3.38 26673 24542 23180 23232 90.12 91.07 93.53 96.97
10Golden323 2.80 33992 31158 29856 29131 90.31 91.61 95.54 93.69
11Golden360-1 3.52 8805 8082 7652 7480 87.53 89.98 92.43 92.40
12Golden360-2 5.07 22894 21090 19853 19529 86.09 88.43 89.98 94.14
13Golden396 4.22 26017 23479 22470 21643 85.28 88.65 91.27 93.27
14Golden399 4.22 28684 25974 24655 24092 86.14 87.81 92.28 93.48
15Golden400 3.91 9716 8805 8250 8177 85.54 88.54 90.49 96.86
16Golden420 6.24 22858 20569 19385 19022 81.61 85.18 89.50 90.21
17Golden440 4.30 10397 9319 8831 8539 85.32 86.89 90.22 92.46
18Golden480-1 4.75 10139 9093 8375 8296 83.44 86.36 91.15 91.12
19Golden480-2 5.15 25464 22499 21190 20716 82.06 86.61 91.06 91.72
20Golden483 4.23 24684 22102 20643 20038 84.01 86.84 91.92 92.35
Average 3.83 87.89 90.17 92.72 94.54