Research Article
Solving the Tractor and Semi-Trailer Routing Problem Based on a Heuristic Approach
Table 2
The freight flow between two depots (one semi-trailer).
| From | To | H | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
| H | | |
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
| 1 |
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
| 2 |
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
0
| 3 |
1
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
1
| 4 |
1
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
1
| 5 |
1
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
1
| 6 |
1
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
| 7 |
1
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
| 8 |
1
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
1
|
0
|
0
| 9 |
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
0
|
0
| 10 |
1
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
| 11 |
1
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
1
| 12 |
1
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
| 13 |
1
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
|
|
1” denotes that there is one semi-trailer flow between two depots. 0” denotes that there is no freight flow.
|