Research Article
Multiperiod Hierarchical Location Problem of Transit Hub in Urban Agglomeration Area
Table 2
Distances between areas in Beijing-Tianjin-Hebei Region (km).
| 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 | 6 | 10 | 18 | 19 | 20 | 36 | 24 | 36 | 40 | 29 | 29 | 58 | 74 | 76 | 81 | 138 | 140 | 122 | 168 | 114 | 93 | 92 | 164 | 162 | 145 | 101 | 58 | 300 | 160 | 293 | 178 | 451 | 402 | 193 | 226 | 216 | 272 | 2 | 6 | 0 | 18 | 13 | 15 | 18 | 32 | 26 | 43 | 42 | 23 | 25 | 61 | 81 | 80 | 82 | 140 | 142 | 125 | 170 | 117 | 95 | 94 | 166 | 164 | 147 | 108 | 61 | 294 | 154 | 295 | 181 | 445 | 396 | 194 | 230 | 223 | 266 | 3 | 10 | 18 | 0 | 29 | 31 | 24 | 49 | 19 | 30 | 44 | 38 | 43 | 53 | 68 | 72 | 84 | 133 | 135 | 117 | 163 | 109 | 88 | 87 | 159 | 157 | 140 | 95 | 58 | 312 | 172 | 288 | 173 | 462 | 414 | 196 | 222 | 211 | 281 | 4 | 18 | 13 | 29 | 0 | 11 | 18 | 23 | 37 | 60 | 54 | 21 | 24 | 74 | 93 | 92 | 94 | 132 | 140 | 123 | 156 | 122 | 101 | 99 | 171 | 170 | 146 | 120 | 64 | 285 | 145 | 300 | 186 | 436 | 387 | 206 | 242 | 221 | 264 | 5 | 19 | 15 | 31 | 11 | 0 | 16 | 24 | 38 | 61 | 50 | 30 | 15 | 75 | 94 | 94 | 90 | 140 | 148 | 132 | 164 | 128 | 107 | 105 | 178 | 176 | 154 | 122 | 72 | 286 | 146 | 307 | 192 | 437 | 388 | 202 | 244 | 230 | 273 | 6 | 20 | 18 | 24 | 18 | 16 | 0 | 37 | 45 | 48 | 37 | 37 | 23 | 62 | 86 | 81 | 78 | 159 | 161 | 143 | 189 | 136 | 114 | 113 | 185 | 183 | 166 | 113 | 79 | 299 | 159 | 314 | 199 | 450 | 401 | 190 | 231 | 237 | 280 | 7 | 36 | 32 | 49 | 23 | 24 | 37 | 0 | 60 | 78 | 71 | 24 | 36 | 92 | 111 | 110 | 111 | 160 | 157 | 145 | 190 | 137 | 115 | 119 | 186 | 184 | 167 | 138 | 81 | 265 | 125 | 320 | 206 | 416 | 367 | 223 | 260 | 225 | 265 | 8 | 24 | 26 | 19 | 37 | 38 | 45 | 60 | 0 | 26 | 61 | 44 | 51 | 50 | 61 | 87 | 101 | 126 | 127 | 110 | 155 | 102 | 80 | 72 | 151 | 150 | 132 | 88 | 57 | 323 | 183 | 274 | 159 | 474 | 425 | 213 | 237 | 203 | 287 | 9 | 36 | 43 | 30 | 60 | 61 | 48 | 78 | 26 | 0 | 47 | 68 | 68 | 24 | 41 | 42 | 87 | 153 | 155 | 138 | 183 | 130 | 108 | 100 | 179 | 177 | 160 | 88 | 84 | 338 | 198 | 302 | 187 | 488 | 440 | 199 | 192 | 231 | 315 | 10 | 40 | 42 | 44 | 54 | 50 | 37 | 71 | 61 | 47 | 0 | 62 | 44 | 55 | 98 | 73 | 43 | 175 | 177 | 159 | 200 | 151 | 130 | 128 | 201 | 199 | 181 | 125 | 98 | 326 | 186 | 330 | 215 | 477 | 428 | 155 | 223 | 253 | 305 | 11 | 29 | 23 | 38 | 21 | 30 | 37 | 24 | 44 | 68 | 62 | 0 | 43 | 83 | 101 | 101 | 103 | 121 | 129 | 121 | 145 | 113 | 92 | 97 | 163 | 161 | 144 | 129 | 53 | 281 | 141 | 298 | 183 | 431 | 383 | 215 | 251 | 202 | 244 | 12 | 29 | 25 | 43 | 24 | 15 | 23 | 36 | 51 | 68 | 44 | 43 | 0 | 84 | 102 | 102 | 83 | 154 | 161 | 145 | 178 | 144 | 122 | 121 | 193 | 191 | 167 | 130 | 86 | 288 | 148 | 322 | 208 | 439 | 390 | 195 | 252 | 242 | 284 | 13 | 58 | 61 | 53 | 74 | 75 | 62 | 92 | 50 | 24 | 55 | 83 | 84 | 0 | 59 | 21 | 94 | 183 | 184 | 167 | 212 | 159 | 138 | 120 | 208 | 207 | 189 | 97 | 108 | 353 | 213 | 322 | 207 | 504 | 455 | 206 | 180 | 261 | 325 | 14 | 74 | 81 | 68 | 93 | 94 | 86 | 111 | 61 | 41 | 98 | 101 | 102 | 59 | 0 | 50 | 138 | 139 | 146 | 170 | 163 | 144 | 140 | 70 | 165 | 137 | 192 | 34 | 116 | 374 | 234 | 263 | 149 | 524 | 476 | 250 | 160 | 263 | 347 | 15 | 76 | 80 | 72 | 92 | 94 | 81 | 110 | 87 | 42 | 73 | 101 | 102 | 21 | 50 | 0 | 113 | 202 | 204 | 186 | 232 | 179 | 157 | 109 | 228 | 226 | 209 | 88 | 127 | 373 | 233 | 310 | 196 | 524 | 475 | 225 | 153 | 280 | 344 | 16 | 81 | 82 | 84 | 94 | 90 | 78 | 111 | 101 | 87 | 43 | 103 | 83 | 94 | 138 | 113 | 0 | 218 | 220 | 203 | 248 | 195 | 173 | 172 | 244 | 242 | 225 | 168 | 141 | 366 | 226 | 373 | 259 | 517 | 468 | 135 | 267 | 296 | 348 | 17 | 138 | 140 | 133 | 132 | 140 | 159 | 160 | 126 | 153 | 175 | 121 | 154 | 183 | 139 | 202 | 218 | 0 | 11 | 22 | 25 | 16 | 38 | 77 | 42 | 68 | 40 | 116 | 83 | 321 | 181 | 266 | 122 | 457 | 423 | 320 | 298 | 114 | 251 | 18 | 140 | 142 | 135 | 140 | 148 | 161 | 157 | 127 | 155 | 177 | 129 | 161 | 184 | 146 | 204 | 220 | 11 | 0 | 37 | 18 | 31 | 53 | 85 | 36 | 71 | 51 | 123 | 91 | 333 | 193 | 266 | 122 | 467 | 435 | 333 | 298 | 124 | 262 | 19 | 122 | 125 | 117 | 123 | 132 | 143 | 145 | 110 | 138 | 159 | 121 | 145 | 167 | 170 | 186 | 203 | 22 | 37 | 0 | 48 | 20 | 44 | 106 | 72 | 83 | 35 | 144 | 64 | 293 | 153 | 281 | 137 | 443 | 395 | 312 | 313 | 114 | 241 | 20 | 168 | 170 | 163 | 156 | 164 | 189 | 190 | 155 | 183 | 200 | 145 | 178 | 212 | 163 | 232 | 248 | 25 | 18 | 48 | 0 | 45 | 65 | 99 | 30 | 80 | 59 | 138 | 110 | 338 | 198 | 261 | 126 | 463 | 421 | 350 | 302 | 119 | 257 | 21 | 114 | 117 | 109 | 122 | 128 | 136 | 137 | 102 | 130 | 151 | 113 | 144 | 159 | 144 | 179 | 195 | 16 | 31 | 20 | 45 | 0 | 22 | 81 | 57 | 82 | 46 | 119 | 66 | 304 | 164 | 277 | 133 | 455 | 406 | 304 | 308 | 128 | 253 | 22 | 93 | 95 | 88 | 101 | 107 | 114 | 115 | 80 | 108 | 130 | 92 | 122 | 138 | 140 | 157 | 173 | 38 | 53 | 44 | 65 | 22 | 0 | 54 | 80 | 89 | 68 | 126 | 35 | 315 | 175 | 284 | 140 | 466 | 417 | 283 | 307 | 139 | 263 | 23 | 92 | 94 | 87 | 99 | 105 | 113 | 119 | 72 | 100 | 128 | 97 | 121 | 120 | 70 | 109 | 172 | 77 | 85 | 106 | 99 | 81 | 54 | 0 | 103 | 84 | 128 | 47 | 70 | 375 | 235 | 210 | 96 | 526 | 477 | 281 | 238 | 199 | 324 | 24 | 164 | 166 | 159 | 171 | 178 | 185 | 186 | 151 | 179 | 201 | 163 | 193 | 208 | 165 | 228 | 244 | 42 | 36 | 72 | 30 | 57 | 80 | 103 | 0 | 41 | 83 | 134 | 116 | 362 | 222 | 233 | 108 | 482 | 440 | 354 | 284 | 138 | 276 | 25 | 162 | 164 | 157 | 170 | 176 | 183 | 184 | 150 | 177 | 199 | 161 | 191 | 207 | 137 | 226 | 242 | 68 | 71 | 83 | 80 | 82 | 89 | 84 | 41 | 0 | 130 | 103 | 113 | 378 | 238 | 199 | 55 | 528 | 480 | 351 | 231 | 182 | 319 | 26 | 145 | 147 | 140 | 146 | 154 | 166 | 167 | 132 | 160 | 181 | 144 | 167 | 189 | 192 | 209 | 225 | 40 | 51 | 35 | 59 | 46 | 68 | 128 | 83 | 130 | 0 | 168 | 87 | 297 | 157 | 326 | 182 | 425 | 383 | 336 | 359 | 81 | 219 | 27 | 101 | 108 | 95 | 120 | 122 | 113 | 138 | 88 | 88 | 125 | 129 | 130 | 97 | 34 | 88 | 168 | 116 | 123 | 144 | 138 | 119 | 126 | 47 | 134 | 103 | 168 | 0 | 151 | 415 | 275 | 230 | 116 | 566 | 517 | 277 | 147 | 239 | 363 | 28 | 58 | 61 | 58 | 64 | 72 | 79 | 81 | 57 | 84 | 98 | 53 | 86 | 108 | 116 | 127 | 141 | 83 | 91 | 64 | 110 | 66 | 35 | 70 | 116 | 113 | 87 | 151 | 0 | 253 | 132 | 250 | 129 | 379 | 335 | 212 | 194 | 137 | 218 | 29 | 300 | 294 | 312 | 285 | 286 | 299 | 265 | 323 | 338 | 326 | 281 | 288 | 353 | 374 | 373 | 366 | 321 | 333 | 293 | 338 | 304 | 315 | 375 | 362 | 378 | 297 | 415 | 253 | 0 | 130 | 484 | 367 | 160 | 109 | 309 | 440 | 212 | 110 | 30 | 160 | 154 | 172 | 145 | 146 | 159 | 125 | 183 | 198 | 186 | 141 | 148 | 213 | 234 | 233 | 226 | 181 | 193 | 153 | 198 | 164 | 175 | 235 | 222 | 238 | 157 | 275 | 132 | 130 | 0 | 367 | 250 | 265 | 220 | 224 | 315 | 136 | 130 | 31 | 293 | 295 | 288 | 300 | 307 | 314 | 320 | 274 | 302 | 330 | 298 | 322 | 322 | 263 | 310 | 373 | 266 | 266 | 281 | 261 | 277 | 284 | 210 | 233 | 199 | 326 | 230 | 250 | 484 | 367 | 0 | 130 | 574 | 543 | 409 | 183 | 294 | 412 | 32 | 178 | 181 | 173 | 186 | 192 | 199 | 206 | 159 | 187 | 215 | 183 | 208 | 207 | 149 | 196 | 259 | 122 | 122 | 137 | 126 | 133 | 140 | 96 | 108 | 55 | 182 | 116 | 129 | 367 | 250 | 130 | 0 | 470 | 433 | 311 | 152 | 188 | 306 | 33 | 451 | 445 | 462 | 436 | 437 | 450 | 416 | 474 | 488 | 477 | 431 | 439 | 504 | 524 | 524 | 517 | 457 | 467 | 443 | 463 | 455 | 466 | 526 | 482 | 528 | 425 | 566 | 379 | 160 | 265 | 574 | 470 | 0 | 53 | 468 | 576 | 286 | 165 | 34 | 402 | 396 | 414 | 387 | 388 | 401 | 367 | 425 | 440 | 428 | 383 | 390 | 455 | 476 | 475 | 468 | 423 | 435 | 395 | 421 | 406 | 417 | 477 | 440 | 480 | 383 | 517 | 335 | 109 | 220 | 543 | 433 | 53 | 0 | 418 | 527 | 252 | 130 | 35 | 193 | 194 | 196 | 206 | 202 | 190 | 223 | 213 | 199 | 155 | 215 | 195 | 206 | 250 | 225 | 135 | 320 | 333 | 312 | 350 | 304 | 283 | 281 | 354 | 351 | 336 | 277 | 212 | 309 | 224 | 409 | 311 | 468 | 418 | 0 | 275 | 326 | 345 | 36 | 226 | 230 | 222 | 242 | 244 | 231 | 260 | 237 | 192 | 223 | 251 | 252 | 180 | 160 | 153 | 267 | 298 | 298 | 313 | 302 | 308 | 307 | 238 | 284 | 231 | 359 | 147 | 194 | 440 | 315 | 183 | 152 | 576 | 527 | 275 | 0 | 315 | 413 | 37 | 216 | 223 | 211 | 221 | 230 | 237 | 225 | 203 | 231 | 253 | 202 | 242 | 261 | 263 | 280 | 296 | 114 | 124 | 114 | 119 | 128 | 139 | 199 | 138 | 182 | 81 | 239 | 137 | 212 | 136 | 294 | 188 | 286 | 252 | 326 | 315 | 0 | 120 | 38 | 272 | 266 | 281 | 264 | 273 | 280 | 265 | 287 | 315 | 305 | 244 | 284 | 325 | 347 | 344 | 348 | 251 | 262 | 241 | 257 | 253 | 263 | 324 | 276 | 319 | 219 | 363 | 218 | 110 | 130 | 412 | 306 | 165 | 130 | 345 | 413 | 120 | 0 |
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