A Column Generation Based Hyper-Heuristic to the Bus Driver Scheduling Problem
Table 3
Comparative results against the best known schedules.
Problem
Used method
Number of duties
Deviation%
Times
A1
PTA/LPa
12
0
0.10
TA/LP
12
0.30
SAc
12
1.90
SA_20d
12
35.48
CGBHe
12
10.58
A2
PTA/LP
20
0
4.63
TA/LP
20
41.64
SA
20
42.87
SA_20
20
949.04
CGBH
20
39.53
A3
PTA/LP
40
2.5
1.88
TA/LP
40
4.98
SA
40
7.60
SA_20
40
173.26
CGBH
41
150.25
A4
PTA/LP
81
1.23
70.90
TA/LP
82
229.68
SA
85
199.86
SA_20
83
3749.02
CGBH
82
1309.07
A5
PTA/LP
145
6.89
6567.80
TA/LP
151
6717.30
SA
153
7061.52
SA_20
153
143565.20
CGBH
155
4038.13
Average
2.12
Population training algorithm/linear programming with more iterative.
bPopulation training algorithm/linear programming with few iterative.
cSimulated annealing.
dSimulated annealing with 20 executions.
eColunm generation based hyper-heuristic approach.
