Research Article
Multiperiod Hierarchical Location Problem of Transit Hub in Urban Agglomeration Area
Table 3
Travel time between areas in Beijing-Tianjin-Hebei Region in 2020 (h).
| | Area | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 |
| | 1 | 0.0 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.3 | 0.2 | 0.3 | 0.3 | 0.2 | 0.2 | 0.5 | 0.6 | 0.6 | 0.7 | 1.2 | 1.2 | 1.0 | 1.4 | 1.0 | 0.8 | 0.8 | 1.4 | 1.4 | 1.2 | 0.8 | 0.2 | 1.2 | 0.6 | 4.2 | 1.5 | 1.8 | 1.6 | 0.8 | 1.9 | 0.9 | 3.9 | | 2 | 0.1 | 0.0 | 0.1 | 0.1 | 0.1 | 0.2 | 0.3 | 0.2 | 0.4 | 0.3 | 0.2 | 0.2 | 0.5 | 0.7 | 0.7 | 0.7 | 1.2 | 1.2 | 1.0 | 1.4 | 1.0 | 0.8 | 0.8 | 1.4 | 1.4 | 1.2 | 0.9 | 0.2 | 1.2 | 0.6 | 4.2 | 1.5 | 1.8 | 1.6 | 0.8 | 1.9 | 0.9 | 3.8 | | 3 | 0.1 | 0.1 | 0.0 | 0.2 | 0.3 | 0.2 | 0.4 | 0.2 | 0.2 | 0.4 | 0.3 | 0.4 | 0.4 | 0.6 | 0.6 | 0.7 | 1.1 | 1.1 | 1.0 | 1.4 | 0.9 | 0.7 | 0.7 | 1.3 | 1.3 | 1.2 | 0.8 | 0.2 | 1.2 | 0.7 | 4.1 | 1.4 | 1.8 | 1.7 | 0.8 | 1.8 | 0.8 | 4.0 | | 4 | 0.1 | 0.1 | 0.2 | 0.0 | 0.1 | 0.2 | 0.2 | 0.3 | 0.5 | 0.4 | 0.2 | 0.2 | 0.6 | 0.8 | 0.8 | 0.8 | 1.1 | 1.2 | 1.0 | 1.3 | 1.0 | 0.8 | 0.8 | 1.4 | 1.4 | 1.2 | 1.0 | 0.3 | 1.1 | 0.6 | 4.3 | 1.5 | 1.7 | 1.5 | 0.8 | 2.0 | 0.9 | 3.8 | | 5 | 0.2 | 0.1 | 0.3 | 0.1 | 0.0 | 0.1 | 0.2 | 0.3 | 0.5 | 0.4 | 0.2 | 0.1 | 0.6 | 0.8 | 0.8 | 0.8 | 1.2 | 1.2 | 1.1 | 1.4 | 1.1 | 0.9 | 0.9 | 1.5 | 1.5 | 1.3 | 1.0 | 0.3 | 1.1 | 0.6 | 4.4 | 1.6 | 1.7 | 1.6 | 0.8 | 2.0 | 0.9 | 3.9 | | 6 | 0.2 | 0.2 | 0.2 | 0.2 | 0.1 | 0.0 | 0.3 | 0.4 | 0.4 | 0.3 | 0.3 | 0.2 | 0.5 | 0.7 | 0.7 | 0.6 | 1.3 | 1.3 | 1.2 | 1.6 | 1.1 | 1.0 | 0.9 | 1.5 | 1.5 | 1.4 | 0.9 | 0.3 | 1.2 | 0.6 | 4.5 | 1.7 | 1.8 | 1.6 | 0.8 | 1.9 | 0.9 | 4.0 | | 7 | 0.3 | 0.3 | 0.4 | 0.2 | 0.2 | 0.3 | 0.0 | 0.5 | 0.6 | 0.6 | 0.2 | 0.3 | 0.8 | 0.9 | 0.9 | 0.9 | 1.3 | 1.3 | 1.2 | 1.6 | 1.1 | 1.0 | 1.0 | 1.6 | 1.5 | 1.4 | 1.2 | 0.3 | 1.1 | 0.5 | 4.6 | 1.7 | 1.7 | 1.5 | 0.9 | 2.2 | 0.9 | 3.8 | | 8 | 0.2 | 0.2 | 0.2 | 0.3 | 0.3 | 0.4 | 0.5 | 0.0 | 0.2 | 0.5 | 0.4 | 0.4 | 0.4 | 0.5 | 0.7 | 0.8 | 1.0 | 1.1 | 0.9 | 1.3 | 0.9 | 0.7 | 0.6 | 1.3 | 1.2 | 1.1 | 0.7 | 0.2 | 1.3 | 0.7 | 3.9 | 1.3 | 1.9 | 1.7 | 0.9 | 2.0 | 0.8 | 4.1 | | 9 | 0.3 | 0.4 | 0.2 | 0.5 | 0.5 | 0.4 | 0.6 | 0.2 | 0.0 | 0.4 | 0.6 | 0.6 | 0.2 | 0.3 | 0.4 | 0.7 | 1.3 | 1.3 | 1.1 | 1.5 | 1.1 | 0.9 | 0.8 | 1.5 | 1.5 | 1.3 | 0.7 | 0.3 | 1.4 | 0.8 | 4.3 | 1.6 | 2.0 | 1.8 | 0.8 | 1.6 | 0.9 | 4.5 | | 10 | 0.3 | 0.3 | 0.4 | 0.4 | 0.4 | 0.3 | 0.6 | 0.5 | 0.4 | 0.0 | 0.5 | 0.4 | 0.5 | 0.8 | 0.6 | 0.4 | 1.5 | 1.5 | 1.3 | 1.7 | 1.3 | 1.1 | 1.1 | 1.7 | 1.7 | 1.5 | 1.0 | 0.4 | 1.3 | 0.7 | 4.7 | 1.8 | 1.9 | 1.7 | 0.6 | 1.9 | 1.0 | 4.4 | | 11 | 0.2 | 0.2 | 0.3 | 0.2 | 0.2 | 0.3 | 0.2 | 0.4 | 0.6 | 0.5 | 0.0 | 0.4 | 0.7 | 0.8 | 0.8 | 0.9 | 1.0 | 1.1 | 1.0 | 1.2 | 0.9 | 0.8 | 0.8 | 1.4 | 1.3 | 1.2 | 1.1 | 0.2 | 1.1 | 0.6 | 4.3 | 1.5 | 1.7 | 1.5 | 0.9 | 2.1 | 0.8 | 3.5 | | 12 | 0.2 | 0.2 | 0.4 | 0.2 | 0.1 | 0.2 | 0.3 | 0.4 | 0.6 | 0.4 | 0.4 | 0.0 | 0.7 | 0.9 | 0.8 | 0.7 | 1.3 | 1.3 | 1.2 | 1.5 | 1.2 | 1.0 | 1.0 | 1.6 | 1.6 | 1.4 | 1.1 | 0.3 | 1.2 | 0.6 | 4.6 | 1.7 | 1.8 | 1.6 | 0.8 | 2.1 | 1.0 | 4.1 | | 13 | 0.5 | 0.5 | 0.4 | 0.6 | 0.6 | 0.5 | 0.8 | 0.4 | 0.2 | 0.5 | 0.7 | 0.7 | 0.0 | 0.5 | 0.2 | 0.8 | 1.5 | 1.5 | 1.4 | 1.8 | 1.3 | 1.1 | 1.0 | 1.7 | 1.7 | 1.6 | 0.8 | 0.4 | 1.4 | 0.9 | 4.6 | 1.7 | 2.0 | 1.8 | 0.8 | 1.5 | 1.0 | 4.6 | | 14 | 0.6 | 0.7 | 0.6 | 0.8 | 0.8 | 0.7 | 0.9 | 0.5 | 0.3 | 0.8 | 0.8 | 0.9 | 0.5 | 0.0 | 0.4 | 1.2 | 1.2 | 1.2 | 1.4 | 1.4 | 1.2 | 1.2 | 0.6 | 1.4 | 1.1 | 1.6 | 0.3 | 0.5 | 1.5 | 0.9 | 3.8 | 1.2 | 2.1 | 1.9 | 1.0 | 1.3 | 1.1 | 5.0 | | 15 | 0.6 | 0.7 | 0.6 | 0.8 | 0.8 | 0.7 | 0.9 | 0.7 | 0.4 | 0.6 | 0.8 | 0.8 | 0.2 | 0.4 | 0.0 | 0.9 | 1.7 | 1.7 | 1.6 | 1.9 | 1.5 | 1.3 | 0.9 | 1.9 | 1.9 | 1.7 | 0.7 | 0.5 | 1.5 | 0.9 | 4.4 | 1.6 | 2.1 | 1.9 | 0.9 | 1.3 | 1.1 | 4.9 | | 16 | 0.7 | 0.7 | 0.7 | 0.8 | 0.8 | 0.6 | 0.9 | 0.8 | 0.7 | 0.4 | 0.9 | 0.7 | 0.8 | 1.2 | 0.9 | 0.0 | 1.8 | 1.8 | 1.7 | 2.1 | 1.6 | 1.4 | 1.4 | 2.0 | 2.0 | 1.9 | 1.4 | 0.6 | 1.5 | 0.9 | 5.3 | 2.2 | 2.1 | 1.9 | 0.5 | 2.2 | 1.2 | 5.0 | | 17 | 1.2 | 1.2 | 1.1 | 1.1 | 1.2 | 1.3 | 1.3 | 1.0 | 1.3 | 1.5 | 1.0 | 1.3 | 1.5 | 1.2 | 1.7 | 1.8 | 0.0 | 0.1 | 0.2 | 0.2 | 0.1 | 0.3 | 0.6 | 0.4 | 0.6 | 0.3 | 1.0 | 0.3 | 2.7 | 0.7 | 3.8 | 0.5 | 3.8 | 2.1 | 1.3 | 4.3 | 0.5 | 3.6 | | 18 | 1.2 | 1.2 | 1.1 | 1.2 | 1.2 | 1.3 | 1.3 | 1.1 | 1.3 | 1.5 | 1.1 | 1.3 | 1.5 | 1.2 | 1.7 | 1.8 | 0.1 | 0.0 | 0.3 | 0.1 | 0.3 | 0.4 | 0.7 | 0.3 | 0.6 | 0.4 | 1.0 | 0.4 | 2.8 | 0.8 | 3.8 | 0.5 | 3.9 | 2.2 | 1.3 | 4.3 | 0.5 | 3.7 | | 19 | 1.0 | 1.0 | 1.0 | 1.0 | 1.1 | 1.2 | 1.2 | 0.9 | 1.1 | 1.3 | 1.0 | 1.2 | 1.4 | 1.4 | 1.6 | 1.7 | 0.2 | 0.3 | 0.0 | 0.4 | 0.2 | 0.4 | 0.9 | 0.6 | 0.7 | 0.3 | 1.2 | 0.3 | 2.4 | 0.6 | 4.0 | 0.5 | 3.7 | 2.0 | 1.2 | 4.5 | 0.5 | 3.4 | | 20 | 1.4 | 1.4 | 1.4 | 1.3 | 1.4 | 1.6 | 1.6 | 1.3 | 1.5 | 1.7 | 1.2 | 1.5 | 1.8 | 1.4 | 1.9 | 2.1 | 0.2 | 0.1 | 0.4 | 0.0 | 0.4 | 0.5 | 0.8 | 0.3 | 0.7 | 0.5 | 1.1 | 0.4 | 2.8 | 0.8 | 3.7 | 0.5 | 3.9 | 2.1 | 1.4 | 4.3 | 0.5 | 3.7 | | 21 | 1.0 | 1.0 | 0.9 | 1.0 | 1.1 | 1.1 | 1.1 | 0.9 | 1.1 | 1.3 | 0.9 | 1.2 | 1.3 | 1.2 | 1.5 | 1.6 | 0.1 | 0.3 | 0.2 | 0.4 | 0.0 | 0.2 | 0.7 | 0.5 | 0.7 | 0.4 | 1.0 | 0.3 | 2.5 | 0.7 | 4.0 | 0.5 | 3.8 | 2.0 | 1.2 | 4.4 | 0.5 | 3.6 | | 22 | 0.8 | 0.8 | 0.7 | 0.8 | 0.9 | 1.0 | 1.0 | 0.7 | 0.9 | 1.1 | 0.8 | 1.0 | 1.1 | 1.2 | 1.3 | 1.4 | 0.3 | 0.4 | 0.4 | 0.5 | 0.2 | 0.0 | 0.4 | 0.7 | 0.7 | 0.6 | 1.0 | 0.1 | 2.6 | 0.7 | 4.1 | 0.6 | 3.9 | 2.1 | 1.1 | 4.4 | 0.6 | 3.8 | | 23 | 0.8 | 0.8 | 0.7 | 0.8 | 0.9 | 0.9 | 1.0 | 0.6 | 0.8 | 1.1 | 0.8 | 1.0 | 1.0 | 0.6 | 0.9 | 1.4 | 0.6 | 0.7 | 0.9 | 0.8 | 0.7 | 0.4 | 0.0 | 0.9 | 0.7 | 1.1 | 0.4 | 0.3 | 3.1 | 0.9 | 3.0 | 0.4 | 4.4 | 2.4 | 1.1 | 3.4 | 0.8 | 4.6 | | 24 | 1.4 | 1.4 | 1.3 | 1.4 | 1.5 | 1.5 | 1.6 | 1.3 | 1.5 | 1.7 | 1.4 | 1.6 | 1.7 | 1.4 | 1.9 | 2.0 | 0.4 | 0.3 | 0.6 | 0.3 | 0.5 | 0.7 | 0.9 | 0.0 | 0.3 | 0.7 | 1.1 | 0.5 | 3.0 | 0.9 | 3.3 | 0.4 | 4.0 | 2.2 | 1.4 | 4.1 | 0.6 | 3.9 | | 25 | 1.4 | 1.4 | 1.3 | 1.4 | 1.5 | 1.5 | 1.5 | 1.2 | 1.5 | 1.7 | 1.3 | 1.6 | 1.7 | 1.1 | 1.9 | 2.0 | 0.6 | 0.6 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.3 | 0.0 | 1.1 | 0.9 | 0.5 | 3.1 | 1.0 | 2.8 | 0.2 | 4.4 | 2.4 | 1.4 | 3.3 | 0.7 | 4.6 | | 26 | 1.2 | 1.2 | 1.2 | 1.2 | 1.3 | 1.4 | 1.4 | 1.1 | 1.3 | 1.5 | 1.2 | 1.4 | 1.6 | 1.6 | 1.7 | 1.9 | 0.3 | 0.4 | 0.3 | 0.5 | 0.4 | 0.6 | 1.1 | 0.7 | 1.1 | 0.0 | 1.4 | 0.3 | 2.5 | 0.6 | 4.7 | 0.7 | 3.5 | 1.9 | 1.3 | 5.1 | 0.3 | 3.1 | | 27 | 0.8 | 0.9 | 0.8 | 1.0 | 1.0 | 0.9 | 1.2 | 0.7 | 0.7 | 1.0 | 1.1 | 1.1 | 0.8 | 0.3 | 0.7 | 1.4 | 1.0 | 1.0 | 1.2 | 1.1 | 1.0 | 1.0 | 0.4 | 1.1 | 0.9 | 1.4 | 0.0 | 0.6 | 3.5 | 1.1 | 3.3 | 0.5 | 4.7 | 2.6 | 1.1 | 2.1 | 1.0 | 5.2 | | 28 | 0.2 | 0.2 | 0.2 | 0.3 | 0.3 | 0.3 | 0.3 | 0.2 | 0.3 | 0.4 | 0.2 | 0.3 | 0.4 | 0.5 | 0.5 | 0.6 | 0.3 | 0.4 | 0.3 | 0.4 | 0.3 | 0.1 | 0.3 | 0.5 | 0.5 | 0.3 | 0.6 | 0.0 | 2.1 | 0.5 | 3.6 | 1.1 | 1.5 | 4.8 | 3.0 | 2.8 | 2.0 | 3.1 | | 29 | 1.2 | 1.2 | 1.2 | 1.1 | 1.1 | 1.2 | 1.1 | 1.3 | 1.4 | 1.3 | 1.1 | 1.2 | 1.4 | 1.5 | 1.5 | 1.5 | 2.7 | 2.8 | 2.4 | 2.8 | 2.5 | 2.6 | 3.1 | 3.0 | 3.1 | 2.5 | 3.5 | 2.1 | 0.0 | 0.5 | 4.0 | 1.5 | 0.6 | 0.4 | 1.2 | 1.8 | 3.0 | 0.4 | | 30 | 0.6 | 0.6 | 0.7 | 0.6 | 0.6 | 0.6 | 0.5 | 0.7 | 0.8 | 0.7 | 0.6 | 0.6 | 0.9 | 0.9 | 0.9 | 0.9 | 0.7 | 0.8 | 0.6 | 0.8 | 0.7 | 0.7 | 0.9 | 0.9 | 1.0 | 0.6 | 1.1 | 0.5 | 0.5 | 0.0 | 1.8 | 1.0 | 1.1 | 0.9 | 0.9 | 1.3 | 1.9 | 1.9 | | 31 | 4.2 | 4.2 | 4.1 | 4.3 | 4.4 | 4.5 | 4.6 | 3.9 | 4.3 | 4.7 | 4.3 | 4.6 | 4.6 | 3.8 | 4.4 | 5.3 | 3.8 | 3.8 | 4.0 | 3.7 | 4.0 | 4.1 | 3.0 | 3.3 | 2.8 | 4.7 | 3.3 | 3.6 | 4.0 | 1.8 | 0.0 | 0.5 | 8.2 | 7.8 | 5.8 | 2.6 | 1.2 | 5.9 | | 32 | 1.5 | 1.5 | 1.4 | 1.5 | 1.6 | 1.7 | 1.7 | 1.3 | 1.6 | 1.8 | 1.5 | 1.7 | 1.7 | 1.2 | 1.6 | 2.2 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.6 | 0.4 | 0.4 | 0.2 | 0.7 | 0.5 | 1.1 | 1.5 | 1.0 | 0.5 | 0.0 | 3.9 | 3.6 | 2.6 | 2.2 | 2.7 | 4.4 | | 33 | 1.8 | 1.8 | 1.8 | 1.7 | 1.7 | 1.8 | 1.7 | 1.9 | 2.0 | 1.9 | 1.7 | 1.8 | 2.0 | 2.1 | 2.1 | 2.1 | 3.8 | 3.9 | 3.7 | 3.9 | 3.8 | 3.9 | 4.4 | 4.0 | 4.4 | 3.5 | 4.7 | 1.5 | 0.6 | 1.1 | 8.2 | 3.9 | 0.0 | 0.2 | 1.9 | 2.3 | 4.1 | 0.7 | | 34 | 1.6 | 1.6 | 1.7 | 1.5 | 1.6 | 1.6 | 1.5 | 1.7 | 1.8 | 1.7 | 1.5 | 1.6 | 1.8 | 1.9 | 1.9 | 1.9 | 2.1 | 2.2 | 2.0 | 2.1 | 2.0 | 2.1 | 2.4 | 2.2 | 2.4 | 1.9 | 2.6 | 4.8 | 0.4 | 0.9 | 7.8 | 3.6 | 0.2 | 0.0 | 2.1 | 2.6 | 3.6 | 1.9 | | 35 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.9 | 0.9 | 0.8 | 0.6 | 0.9 | 0.8 | 0.8 | 1.0 | 0.9 | 0.5 | 1.3 | 1.3 | 1.2 | 1.4 | 1.2 | 1.1 | 1.1 | 1.4 | 1.4 | 1.3 | 1.1 | 3.0 | 1.2 | 0.9 | 5.8 | 2.6 | 1.9 | 2.1 | 0.0 | 2.3 | 2.7 | 4.9 | | 36 | 1.9 | 1.9 | 1.8 | 2.0 | 2.0 | 1.9 | 2.2 | 2.0 | 1.6 | 1.9 | 2.1 | 2.1 | 1.5 | 1.3 | 1.3 | 2.2 | 4.3 | 4.3 | 4.5 | 4.3 | 4.4 | 4.4 | 3.4 | 4.1 | 3.3 | 5.1 | 2.1 | 2.8 | 1.8 | 1.3 | 2.6 | 2.2 | 2.3 | 2.6 | 2.3 | 0.0 | 4.5 | 5.9 | | 37 | 0.9 | 0.9 | 0.8 | 0.9 | 0.9 | 0.9 | 0.9 | 0.8 | 0.9 | 1.0 | 0.8 | 1.0 | 1.0 | 1.1 | 1.1 | 1.2 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.6 | 0.8 | 0.6 | 0.7 | 0.3 | 1.0 | 2.0 | 3.0 | 1.9 | 1.2 | 2.7 | 4.1 | 3.6 | 2.7 | 4.5 | 0.0 | 1.7 | | 38 | 3.9 | 3.8 | 4.0 | 3.8 | 3.9 | 4.0 | 3.8 | 4.1 | 4.5 | 4.4 | 3.5 | 4.1 | 4.6 | 5.0 | 4.9 | 5.0 | 3.6 | 3.7 | 3.4 | 3.7 | 3.6 | 3.8 | 4.6 | 3.9 | 4.6 | 3.1 | 5.2 | 3.1 | 0.4 | 1.9 | 5.9 | 4.4 | 2.4 | 1.9 | 4.9 | 5.9 | 1.7 | 0.0 |
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