Submitted:
21 October 2023
Posted:
23 October 2023
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Data Analysis

| Hourly Time Interval | 1-Oct | 2-Oct | 3-Oct | 4-Oct | 5-Oct | 6-Oct | 7-Oct | 8-Oct | 9-Oct | 10-Oct | 11-Oct | 12-Oct | 13-Oct | 14-Oct | 15-Oct |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 00:00 - 01:00 AM | 123 | 68 | 55 | 58 | 66 | 95 | 93 | 100 | 63 | 64 | 68 | 52 | 75 | 103 | 68 |
| 01:00 - 02:00 AM | 114 | 42 | 34 | 31 | 37 | 55 | 80 | 55 | 54 | 35 | 40 | 27 | 48 | 52 | 68 |
| 02:00 - 03:00 AM | 58 | 24 | 27 | 20 | 37 | 37 | 48 | 35 | 37 | 25 | 34 | 18 | 25 | 46 | 26 |
| 03:00 - 04:00 AM | 49 | 31 | 29 | 39 | 32 | 41 | 44 | 37 | 15 | 19 | 25 | 20 | 29 | 47 | 21 |
| 04:00 - 05:00 AM | 43 | 35 | 51 | 35 | 30 | 45 | 23 | 36 | 28 | 32 | 33 | 42 | 45 | 48 | 22 |
| 05:00 - 06:00 AM | 32 | 78 | 70 | 74 | 74 | 84 | 41 | 35 | 47 | 75 | 71 | 63 | 79 | 63 | 49 |
| 06:00 - 07:00 AM | 60 | 93 | 105 | 110 | 112 | 104 | 78 | 54 | 90 | 95 | 113 | 93 | 104 | 50 | 49 |
| 07:00 - 08:00 AM | 106 | 219 | 222 | 218 | 218 | 187 | 145 | 106 | 125 | 228 | 224 | 205 | 182 | 129 | 86 |
| 08:00 - 09:00 AM | 222 | 272 | 261 | 281 | 302 | 300 | 207 | 192 | 205 | 314 | 307 | 331 | 306 | 220 | 181 |
| 09:00 - 10:00 AM | 283 | 287 | 257 | 264 | 319 | 328 | 273 | 292 | 275 | 287 | 304 | 319 | 349 | 276 | 281 |
| 10:00 - 11:00 AM | 377 | 357 | 291 | 295 | 309 | 404 | 262 | 320 | 321 | 259 | 333 | 367 | 385 | 304 | 292 |
| 11:00 - 12:00 AM | 396 | 343 | 352 | 379 | 416 | 408 | 337 | 332 | 349 | 328 | 387 | 300 | 386 | 351 | 363 |
| 12:00 - 13:00 PM | 527 | 395 | 358 | 357 | 354 | 454 | 481 | 475 | 446 | 350 | 396 | 405 | 461 | 309 | 449 |
| 13:00 - 14:00 PM | 525 | 412 | 328 | 446 | 376 | 393 | 497 | 502 | 394 | 408 | 409 | 395 | 358 | 325 | 460 |
| 14:00 - 15:00 PM | 452 | 466 | 416 | 446 | 493 | 432 | 411 | 464 | 466 | 465 | 376 | 425 | 490 | 397 | 437 |
| 15:00 - 16:00 PM | 414 | 426 | 504 | 448 | 524 | 564 | 392 | 375 | 464 | 451 | 543 | 435 | 498 | 336 | 396 |
| 16:00 - 17:00 PM | 393 | 565 | 561 | 598 | 572 | 568 | 462 | 447 | 437 | 589 | 617 | 564 | 542 | 413 | 396 |
| 17:00 - 18:00 PM | 424 | 633 | 608 | 606 | 646 | 566 | 500 | 343 | 460 | 627 | 603 | 629 | 595 | 377 | 352 |
| 18:00 - 19:00 PM | 326 | 494 | 626 | 627 | 582 | 439 | 476 | 326 | 432 | 481 | 539 | 572 | 502 | 297 | 334 |
| 19:00 - 20:00 PM | 343 | 367 | 421 | 390 | 336 | 355 | 381 | 251 | 317 | 366 | 363 | 408 | 461 | 283 | 304 |
| 20:00 - 21:00 PM | 248 | 225 | 307 | 338 | 308 | 334 | 266 | 223 | 266 | 269 | 281 | 289 | 356 | 193 | 248 |
| 21:00 - 22:00 PM | 178 | 187 | 211 | 228 | 173 | 280 | 200 | 143 | 174 | 153 | 178 | 220 | 271 | 132 | 123 |
| 22:00 - 23:00 PM | 126 | 130 | 128 | 145 | 150 | 227 | 186 | 106 | 129 | 121 | 156 | 176 | 230 | 161 | 125 |
| 23:00 - 24:00 PM | 89 | 100 | 112 | 104 | 108 | 162 | 145 | 94 | 70 | 91 | 103 | 103 | 162 | 139 | 90 |
| ADT* | 246 | 260 | 264 | 272 | 274 | 286 | 251 | 223 | 236 | 256 | 271 | 269 | 289 | 210 | 218 |
| Hourly Time Interval | 1-Oct | 2-Oct | 3-Oct | 4-Oct | 5-Oct | 6-Oct | 7-Oct | 8-Oct | 9-Oct | 10-Oct | 11-Oct | 12-Oct | 13-Oct | 14-Oct | 15-Oct |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 00:00 - 01:00 AM | 1 | 1 | 0 | 2 | 0 | 0 | 2 | 3 | 1 | 1 | 0 | 3 | 0 | 0 | 0 |
| 01:00 - 02:00 AM | 0 | 1 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
| 02:00 - 03:00 AM | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 1 | 1 | 0 | 0 | 0 | 0 |
| 03:00 - 04:00 AM | 0 | 0 | 0 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 04:00 - 05:00 AM | 0 | 1 | 1 | 0 | 2 | 3 | 1 | 0 | 3 | 3 | 3 | 1 | 1 | 0 | 0 |
| 05:00 - 06:00 AM | 1 | 2 | 2 | 2 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 2 | 2 | 0 | 0 |
| 06:00 - 07:00 AM | 0 | 4 | 0 | 4 | 4 | 4 | 1 | 1 | 2 | 3 | 5 | 3 | 2 | 0 | 0 |
| 07:00 - 08:00 AM | 0 | 7 | 5 | 3 | 3 | 2 | 0 | 2 | 0 | 4 | 7 | 5 | 2 | 1 | 4 |
| 08:00 - 09:00 AM | 3 | 11 | 11 | 7 | 4 | 7 | 5 | 2 | 2 | 10 | 7 | 5 | 4 | 2 | 0 |
| 09:00 - 10:00 AM | 8 | 9 | 6 | 7 | 3 | 2 | 1 | 4 | 5 | 7 | 4 | 7 | 6 | 1 | 6 |
| 10:00 - 11:00 AM | 4 | 10 | 0 | 4 | 5 | 8 | 4 | 5 | 3 | 6 | 4 | 3 | 10 | 2 | 6 |
| 11:00 - 12:00 AM | 5 | 5 | 8 | 3 | 6 | 1 | 5 | 4 | 5 | 7 | 8 | 2 | 9 | 3 | 4 |
| 12:00 - 13:00 PM | 6 | 9 | 8 | 2 | 6 | 10 | 10 | 4 | 8 | 6 | 4 | 4 | 3 | 2 | 8 |
| 13:00 - 14:00 PM | 4 | 12 | 1 | 4 | 3 | 5 | 6 | 11 | 8 | 9 | 2 | 4 | 3 | 5 | 5 |
| 14:00 - 15:00 PM | 11 | 10 | 6 | 5 | 6 | 9 | 7 | 5 | 12 | 0 | 3 | 6 | 10 | 3 | 6 |
| 15:00 - 16:00 PM | 5 | 9 | 9 | 13 | 10 | 5 | 8 | 10 | 11 | 8 | 2 | 4 | 5 | 1 | 3 |
| 16:00 - 17:00 PM | 4 | 8 | 5 | 9 | 5 | 5 | 11 | 3 | 7 | 5 | 9 | 5 | 8 | 6 | 3 |
| 17:00 - 18:00 PM | 13 | 8 | 13 | 5 | 8 | 13 | 4 | 6 | 13 | 7 | 7 | 8 | 1 | 7 | 5 |
| 18:00 - 19:00 PM | 14 | 7 | 4 | 9 | 17 | 7 | 4 | 8 | 5 | 8 | 9 | 14 | 7 | 1 | 9 |
| 19:00 - 20:00 PM | 8 | 10 | 8 | 7 | 9 | 7 | 9 | 2 | 6 | 7 | 9 | 1 | 9 | 6 | 12 |
| 20:00 - 21:00 PM | 3 | 4 | 9 | 6 | 3 | 9 | 6 | 6 | 1 | 3 | 6 | 5 | 4 | 4 | 2 |
| 21:00 - 22:00 PM | 0 | 1 | 3 | 4 | 8 | 5 | 7 | 0 | 11 | 3 | 0 | 11 | 6 | 2 | 2 |
| 22:00 - 23:00 PM | 5 | 0 | 0 | 2 | 0 | 3 | 6 | 0 | 8 | 2 | 4 | 5 | 12 | 5 | 0 |
| 23:00 - 24:00 PM | 2 | 0 | 2 | 7 | 1 | 3 | 1 | 3 | 3 | 0 | 3 | 1 | 4 | 0 | 0 |
| ADT | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 3 | 5 | 4 | 4 | 4 | 5 | 2 | 3 |
| Hourly Time Interval | 1-Oct | 2-Oct | 3-Oct | 4-Oct | 5-Oct | 6-Oct | 7-Oct | 8-Oct | 9-Oct | 10-Oct | 11-Oct | 12-Oct | 13-Oct | 14-Oct | 15-Oct |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 00:00 - 01:00 AM | 0 | 0 | 0 | 0 | 4 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 01:00 - 02:00 AM | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 02:00 - 03:00 AM | 5 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 03:00 - 04:00 AM | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 04:00 - 05:00 AM | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 05:00 - 06:00 AM | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
| 06:00 - 07:00 AM | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 |
| 07:00 - 08:00 AM | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 |
| 08:00 - 09:00 AM | 0 | 0 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
| 09:00 - 10:00 AM | 1 | 1 | 0 | 4 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 |
| 10:00 - 11:00 AM | 0 | 0 | 1 | 1 | 2 | 2 | 0 | 1 | 1 | 1 | 1 | 0 | 2 | 0 | 0 |
| 11:00 - 12:00 AM | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 3 | 1 | 1 |
| 12:00 - 13:00 PM | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 |
| 13:00 - 14:00 PM | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 1 |
| 14:00 - 15:00 PM | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 4 | 1 | 1 | 1 | 1 |
| 15:00 - 16:00 PM | 0 | 1 | 1 | 2 | 1 | 2 | 3 | 1 | 1 | 1 | 2 | 0 | 1 | 4 | 0 |
| 16:00 - 17:00 PM | 2 | 1 | 0 | 1 | 0 | 1 | 0 | 3 | 2 | 1 | 0 | 2 | 1 | 0 | 0 |
| 17:00 - 18:00 PM | 2 | 2 | 1 | 3 | 2 | 0 | 3 | 0 | 2 | 0 | 1 | 5 | 2 | 0 | 2 |
| 18:00 - 19:00 PM | 0 | 2 | 2 | 0 | 2 | 1 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 19:00 - 20:00 PM | 2 | 0 | 1 | 1 | 0 | 3 | 3 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 0 |
| 20:00 - 21:00 PM | 1 | 0 | 10 | 2 | 2 | 1 | 0 | 2 | 1 | 2 | 0 | 1 | 4 | 0 | 1 |
| 21:00 - 22:00 PM | 1 | 0 | 3 | 2 | 1 | 0 | 0 | 0 | 3 | 1 | 0 | 0 | 1 | 0 | 0 |
| 22:00 - 23:00 PM | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 |
| 23:00 - 24:00 PM | 0 | 0 | 1 | 0 | 2 | 0 | 4 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 |
| ADT | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 |

3. Green Time Allocation
- ⮚
- Cycle Length (C): The cycle length is the total time it takes for one complete cycle of all phases at the intersection. It is often determined based on traffic demand and other factors.
- ⮚
- Total Lost Time (L): Lost time represents the time during which the intersection is not effectively used by any approach. It includes the time required for clearing the intersection, pedestrian crossing time, and any other non-green time.
- ⮚
- Effective Green Time (G): The effective green time is the time allocated for a particular phase to serve its assigned traffic movement. It is usually the difference between the cycle length and the total lost time for the phase.
- ⮚
- Saturation Flow Rate (S): The saturation flow rate is the maximum rate at which vehicles can pass through an intersection during the green time for a phase. It is typically expressed in vehicles per hour per lane.
- ⮚
- Volume (V): The volume represents the number of vehicles arriving at the intersection during a given time period (interval). It can be calculated for each approach to the intersection.
- ⮚
-
Green Time Allocation (GTA): The green time allocation for a specific phase (e.g., southbound through or left-turn) can be calculated as shown in Equation (1):where:GTA = min (G, V / S)
- GTA is the green time allocation.
- G is the effective green time for the phase.
- V is the volume of vehicles for that phase.
- S is the saturation flow rate for that phase.
- ⮚
- Data Collection: LiDAR sensors continuously monitor the traffic flow during the green phase. Data on vehicle presence and their position and speed are recorded.
- ⮚
- Vehicle Classification: The LiDAR data is used to classify vehicles based on their type (e.g., passenger cars, buses, trucks, bicycles). This classification allows for a more accurate estimation of saturation flow rates since different vehicle types exhibit varying flow characteristics.
- ⮚
- Queue Detection: LiDAR data is utilized to detect vehicle queues at the stop line, which is essential for determining the available space for vehicle movement.
- ⮚
- Saturation Flow Rate Calculation: The saturation flow rate is calculated as the maximum observed flow rate of a particular vehicle type during the green phase. This approach adapts to real-time conditions and accurately reflects the intersection’s current operational status.
- ⮚
- Vehicle Type-Specific Flow Rates (FR_c): The flow rate for each vehicle type (c) is calculated by counting the number of vehicles of that type passing the stop line during the green phase and dividing it by the duration of the green phase (T):FR_c = (Number of Vehicles of Type c) / T
- ⮚
- Maximum Saturation Flow Rate (SFR_max): The maximum saturation flow rate is determined by selecting the highest flow rate among all vehicle types:SFR_max = max(FR_c) for all vehicle types c
- ⮚
- Saturation Flow Rate (SFR): The overall saturation flow rate for the phase is the maximum observed flow rate across all vehicle types during the green phase:SFR = SFR_max
| Hourly Time | 1-Oct | 2-Oct | 3-Oct | 4-Oct | 5-Oct | 6-Oct | 7-Oct | 8-Oct | 9-Oct | 10-Oct | 11-Oct | 12-Oct | 13-Oct | 14-Oct | 15-Oct |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 00:00 - 01:00 AM | 34.5 | 31.3 | 32.6 | 32.5 | 32.6 | 31.9 | 33.0 | 34.3 | 33.1 | 32.9 | 34.3 | 32.6 | 32.1 | 32.3 | 31.3 |
| 01:00 - 02:00 AM | 32.7 | 27.8 | 29.5 | 26.2 | 28.5 | 29.6 | 30.6 | 32.8 | 31.8 | 28.2 | 28.3 | 32.1 | 27.9 | 31.6 | 32.3 |
| 02:00 - 03:00 AM | 31.0 | 24.2 | 23.7 | 23.9 | 26.1 | 24.4 | 29.6 | 31.1 | 26.2 | 23.3 | 23.2 | 24.3 | 24.5 | 29.0 | 30.7 |
| 03:00 - 04:00 AM | 28.9 | 22.6 | 23.2 | 22.9 | 22.6 | 23.1 | 27.5 | 28.9 | 25.6 | 22.5 | 22.9 | 22.5 | 23.8 | 28.8 | 28.1 |
| 04:00 - 05:00 AM | 26.6 | 24.1 | 23.5 | 24.8 | 25.0 | 24.8 | 27.4 | 31.3 | 25.8 | 24.1 | 24.3 | 24.4 | 24.2 | 27.2 | 25.7 |
| 05:00 - 06:00 AM | 24.9 | 25.4 | 24.6 | 25.4 | 25.6 | 25.7 | 27.1 | 25.4 | 26.1 | 24.6 | 25.4 | 23.4 | 25.8 | 27.2 | 25.8 |
| 06:00 - 07:00 AM | 24.9 | 25.7 | 25.6 | 28.4 | 26.3 | 27.4 | 27.9 | 25.8 | 25.7 | 26.1 | 26.9 | 26.5 | 25.6 | 25.9 | 26.7 |
| 07:00 - 08:00 AM | 26.5 | 25.5 | 27.0 | 25.7 | 29.5 | 26.9 | 28.0 | 27.2 | 26.2 | 26.2 | 26.5 | 27.0 | 26.4 | 27.3 | 27.0 |
| 08:00 - 09:00 AM | 28.4 | 26.6 | 25.5 | 25.3 | 27.2 | 28.1 | 27.3 | 28.1 | 26.3 | 27.3 | 26.4 | 26.1 | 26.6 | 27.4 | 26.9 |
| 09:00 - 10:00 AM | 28.2 | 26.6 | 25.9 | 25.7 | 26.5 | 26.0 | 26.9 | 27.4 | 25.5 | 28.3 | 26.1 | 26.6 | 25.9 | 26.9 | 27.5 |
| 10:00 - 11:00 AM | 27.8 | 26.8 | 28.1 | 28.2 | 27.7 | 27.0 | 27.7 | 28.3 | 26.5 | 26.9 | 26.6 | 27.7 | 27.8 | 27.0 | 26.0 |
| 11:00 - 12:00 AM | 26.5 | 28.3 | 28.6 | 27.4 | 28.9 | 27.8 | 27.2 | 27.2 | 27.6 | 26.7 | 27.8 | 27.1 | 29.4 | 26.3 | 26.1 |
| 12:00 - 13:00 PM | 27.6 | 29.1 | 29.4 | 29.8 | 30.5 | 28.9 | 27.5 | 26.6 | 27.4 | 28.9 | 29.0 | 29.1 | 29.9 | 26.9 | 26.4 |
| 13:00 - 14:00 PM | 27.1 | 29.9 | 29.9 | 30.5 | 30.4 | 29.2 | 27.4 | 26.6 | 27.1 | 30.5 | 29.2 | 29.3 | 28.9 | 26.2 | 25.8 |
| 14:00 - 15:00 PM | 24.7 | 27.5 | 29.2 | 29.6 | 28.6 | 28.3 | 27.4 | 26.6 | 26.2 | 28.2 | 27.3 | 29.9 | 30.4 | 26.3 | 26.0 |
| 15:00 - 16:00 PM | 26.1 | 26.0 | 26.6 | 25.6 | 26.5 | 26.8 | 26.1 | 24.5 | 27.1 | 25.8 | 26.2 | 26.7 | 27.2 | 27.3 | 27.4 |
| 16:00 - 17:00 PM | 25.6 | 25.6 | 26.0 | 25.6 | 27.1 | 25.2 | 25.7 | 26.2 | 25.5 | 25.8 | 25.8 | 26.0 | 25.3 | 25.6 | 26.0 |
| 17:00 - 18:00 PM | 25.7 | 24.9 | 24.9 | 26.2 | 25.5 | 24.6 | 24.6 | 26.3 | 27.3 | 25.5 | 21.4 | 24.7 | 26.1 | 24.7 | 26.2 |
| 18:00 - 19:00 PM | 26.8 | 28.3 | 27.4 | 26.2 | 26.7 | 25.2 | 26.0 | 27.3 | 28.1 | 26.7 | 26.0 | 25.9 | 26.2 | 26.7 | 27.9 |
| 19:00 - 20:00 PM | 29.6 | 29.4 | 28.2 | 27.9 | 27.4 | 26.6 | 27.6 | 29.1 | 30.2 | 28.7 | 30.7 | 29.0 | 26.7 | 31.6 | 29.4 |
| 20:00 - 21:00 PM | 31.7 | 32.4 | 31.7 | 31.5 | 30.6 | 28.2 | 30.4 | 29.0 | 30.6 | 33.0 | 31.8 | 30.3 | 29.3 | 28.3 | 31.2 |
| 21:00 - 22:00 PM | 33.6 | 34.3 | 33.4 | 33.5 | 32.2 | 31.7 | 31.5 | 33.9 | 32.7 | 34.0 | 32.2 | 33.3 | 31.6 | 32.4 | 33.5 |
| 22:00 - 23:00 PM | 34.1 | 33.4 | 33.7 | 34.1 | 33.4 | 31.3 | 31.5 | 34.0 | 34.7 | 33.7 | 34.3 | 34.6 | 31.7 | 30.2 | 35.1 |
| 23:00 - 24:00 PM | 35.1 | 34.8 | 34.2 | 34.5 | 34.1 | 32.6 | 33.4 | 34.9 | 35.2 | 34.9 | 35.9 | 34.4 | 32.6 | 33.1 | 34.0 |
| Daily Average Green Time | 28.7 | 27.9 | 28.0 | 28.0 | 28.3 | 27.5 | 28.3 | 28.9 | 28.3 | 28.0 | 27.8 | 28.1 | 27.7 | 28.2 | 28.5 |
- T is the throughput of the approach.
- G is the green time allocated to the phase of the approach.
- C is the cycle length of the signal control.
- SFR is the saturation flow rate for the specific approach.
4. Conclusion
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