Research Article

A Bee Evolutionary Algorithm for Multiobjective Vehicle Routing Problem with Simultaneous Pickup and Delivery

Table 4

Comparisons of the optimization results of test example 1 with 12 customers.

AlgorithmsVehicle pathFuel consumption/kgWaiting time/minDistance/kmAverage computing time/min

T-NSGA-II0-3-1-8-10-0 0-4-12-5-7-0 0-2-11-6-9-0546.390.74489.701.2
0-3-1-8-10-0 0-4-12-5-7-0 0-11-2-6-9-0548.060.74481.77
0-3-8-1-10-0 0-4-12-5-7-0 0-2-11-6-9-0546.3331.28493.11
0-3-8-1-10-0 0-4-12-5-7-0 0-11-2-6-9-0548.0031.28485.18
0-3-10-1-8-0 0-4-12-5-7-0 0-2-11-6-9-0539.7750.13475.41
W-BEG-NSGA-II0-4-5-7-10-0 0-2-6-11-1-8-0 0-3-9-12-0512.6995.5476.940.9
0-4-5-7-10-0 0-6-2-11-1-8-0 0-9-3-12-0506.21147.4458.14
0-4-5-7-10-0 0-6-2-11-1-8-0 0-3-9-12-0525.8573.8488.82
0-4-5-7-10-0 0-6-2-11-1-8-0 0-9-3-12-0519.36125.6470.02
0-5-7-4-10-0 0-2-6-11-1-8-0 0-9-3-12-0519.20180.9452.91
BEG-NSGA-II0-2-6-11-1-8-0 0-4-12-5-7-0 0-3-9-10-0418.9995.5371.690.5
0-6-2-11-1-8-0 0-4-12-5-7-0 0-3-9-10-0432.1473.7383.57
0-6-2-1-8-11-0 0-4-12-5-7-0 0-3-9-10-0449.2163.0409.26
0-6-2-1-9-10-0 0-4-12-5-7-0 0-3-8-1-11-0475.0331.3444.04
0-6-2-1-10-9-0 0-4-12-5-7-0 0-3-8-1-11-0477.9131.3441.32
0-1-6-2-11-8-0 0-4-12-5-7-0 0-3-9-10-0479.980427.85
0-1-2-6-11-8-0 0-4-12-5-7-0 0-3-9-10-0484.080424.94

Note: (a) “”meant that the marked result dominates the results of T-NSGA-II.
(b) “” meant that the marked result dominates the results of W-BEG-NSGA-II.
(c) “” meant that the marked result dominates the results of T-NSGA-II and W-BEG-NSGA-II simultaneously.