This article contains 3 figures and 9 tables.
Figures



Tables
| Sl. No. | Vehicle and Driver Characteristics | Operating Value Range | Best performing simulation runs |
|---|---|---|---|
| 1 | Minimum Lateral Clearance (m) | 0.25 - 1.0 | 5 |
| 2a | Distributions for Desired Acceleration (m/s2) | 0.5 - 4.4 | 5 |
| 2b | Distributions for Maximum Acceleration (m/s2) | 1.0 - 4.4 | 5 |
| 2c | Distributions for Deceleration (m/s2) | 2.5 - 8.0 | 5 |
| 3a | Distributions for Desired Acceleration (m/s2) | 0.5 - 4.4 | 5 |
| 3b | Distributions for Maximum Acceleration (m/s2) | 1.0 - 4.4 | 5 |
| 4 | Minimum Look-ahead Distance (m) | 10 - 50 | 5 |
| 5 | Distributions for Maximum Acceleration (m/s2) | 1.0 - 4.4 | 5 |
| 6 | Distributions for Desired Acceleration (m/s2) | 0.5 - 4.4 | 5 |
| 7a | Distributions for Desired Speed (kmph) - Lower Bound | 21.9 - 72.3 | 5 |
| 7b | Distributions for Desired Speed (kmph) - Upper Bound | 21.9 - 72.3 | 5 |
| 8 | Minimum Look-back Distance (m) for car-following | 10.0 - 50.0 | 5 |
| 9 | Average Standstill Distance (m) for car-following | 0.5 - 2.5 | 5 |
| 10 | Additive Part of Desired Safety Distance (m) for car-following | 0.2 - 2.0 | 5 |
| 11 | Multiplicative Part of Desired Safety Distance (m) for car-following | 0.2 - 3.0 | 5 |
| 12 | Time-between Direction Changes (s) for overtaking | 1.0 - 10.0 | 5 |
| 13 | Minimum Longitudinal Speed (kmph) for lane change | 1.1 - 3.6 | 5 |
| 14 | Minimum Collision Time-gain for lateral driving behavior (s) | 0.40 - 2.0 | 5 |
| Total simulation runs in the first-level calibrations | 90 |
Source: Authors own creation.
| Details on Data Set for Sensitivity Analysis for Vehicle and Driver Characteristics | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| First-level of Calibration Stage Sl. No. | Minimum Lateral Clearances (m) | Desired Accelerations at Desired Speed of 50 kmph (m/s2) | Maximum Accelerations at Desired Speed of 50 kmph (m/s2) | Deceleration Distribution (m/s2) | Weighted Average of Speed Distribution Lower-Bounds (kmph) | Weighted Average of Speed Distribution Upper-Bounds (kmph) | Minimum Look-ahead Distances (m) | Minimum Look-back Distances (m) | Average Standstill Distances (m) | Additive Part of Desired Safety Distances (m) | Multiplicative Part of Desired Safety Distances (m) | Time-Between Direction Changes (s) | Minimum Longitudinal Speeds (kmph) | Minimum Collision Time-gains (s) | Mean Absolute Errors (%) |
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) | (14) | (15) | (16) |
| Ini--tial | 1.00 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 |
| 1 | 0.50 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 |
| 0.25 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.75 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.65 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.85 | 0.432 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 2a | 0.50 | 0.159 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 |
| 0.50 | 0.295 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.409 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.455 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.114 | 0.432 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 2b | 0.50 | 0.159 | 0.295 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 |
| 0.50 | 0.159 | 0.568 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.705 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.705 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.250 | 0.335 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 2c | 0.50 | 0.159 | 0.295 | 0.334 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 |
| 0.50 | 0.159 | 0.295 | 0.675 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.295 | 0.738 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.295 | 1.000 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| 0.50 | 0.159 | 0.295 | 0.313 | 0.96 | 0.69 | 0.20 | 0.20 | 0.80 | 1.00 | 1.00 | 0.10 | 1.00 | 1.00 | 0.9653 | |
| - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 13 | 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 1.00 | 0.2948 |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.83 | 1.00 | 0.3295 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.67 | 1.00 | 0.3295 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.42 | 1.00 | 0.3035 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.31 | 1.00 | 0.3064 | |
| 14 | 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 0.29 | 0.2775 |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 0.20 | 0.2948 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 0.40 | 0.3006 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 0.75 | 0.3266 | |
| 0.50 | 0.341 | 0.341 | 0.334 | 0.61 | 0.86 | 0.80 | 0.60 | 0.40 | 0.20 | 0.17 | 0.50 | 0.53 | 0.55 | 0.2861 | |
Source: Authors own creation.
| Test Serial No. | Number of Neurons in the Hidden Layers | Mean Absolute Error (MAE) in Prediction(%) | Number of training cycles for convergence | ||
|---|---|---|---|---|---|
| HiddenLayerNo: 1 | HiddenLayerNo: 2 | HiddenLayerNo: 3 | |||
| 1 | 15 | 0 | 0 | 3.8075 | 10751 |
| 2 | 14 | 0 | 0 | 3.7303 | 11407 |
| 3 | 13 | 0 | 0 | 3.9456 | 10276 |
| *4 | 12 | 0 | 0 | 3.0979 | 11184 |
| 5 | 11 | 0 | 0 | 3.7925 | 11265 |
| 6 | 10 | 0 | 0 | 3.4415 | 10138 |
| 7 | 9 | 0 | 0 | 3.2023 | 11312 |
| 8 | 8 | 0 | 0 | 3.7263 | 10015 |
| 9 | 7 | 0 | 0 | 3.4304 | 10864 |
| 10 | 6 | 0 | 0 | 3.7916 | 10319 |
| 11 | 5 | 0 | 0 | 3.7277 | 9677 |
| 12 | 4 | 0 | 0 | 3.7169 | 6234 |
| 13 | 12 | 12 | 0 | 3.6959 | 5407 |
| 14 | 12 | 11 | 0 | 3.4819 | 4803 |
| 15 | 12 | 10 | 0 | 3.8747 | 3468 |
| 16 | 12 | 9 | 0 | 3.8354 | 6072 |
| *17 | 12 | 8 | 0 | 3.4290 | 4021 |
| 18 | 12 | 7 | 0 | 3.4600 | 3548 |
| 19 | 12 | 6 | 0 | 3.6131 | 2984 |
| 20 | 12 | 5 | 0 | 4.3240 | 1353 |
| 21 | 12 | 4 | 0 | 3.9310 | 4506 |
| 22 | 12 | 3 | 0 | 5.4365 | 1231 |
| 23 | 12 | 2 | 0 | 5.3433 | 4619 |
| 24 | 12 | 8 | 8 | 3.5013 | 6229 |
| 25 | 12 | 8 | 7 | 3.0347 | 7672 |
| 26 | 12 | 8 | 6 | 3.5135 | 9181 |
| 27 | 12 | 8 | 5 | 4.2408 | 2670 |
| *28 | 12 | 8 | 4 | 2.9404 | 5261 |
| 29 | 12 | 8 | 3 | 4.0352 | 2314 |
| 30 | 12 | 8 | 2 | 3.0703 | 16403 |
| 31 | 12 | 8 | 1 | 4.4979 | 3347 |
Source: Authors own creation.
Note: *Optimum ANN configurations for neurons organized in 1, 2, or 3 hidden layers. Target error = 0.1; Learning rate = 0.7; Momentum rate = 0.8; Number of neurons in the input layer = 14; Number of neurons in the output layer = 1.
| Direction of Traffic Flow | Simulated volume | Observed volume | Absolute Error (%) | GEH Statistic | RNSE Statistic | |
|---|---|---|---|---|---|---|
| From | To | |||||
| Jyothi | Hampankatta | 465 | 516 | 9.9 | 2.30 | 2.25 |
| Hampankatta | Jyothi | 431 | 464 | 7.1 | 1.56 | 1.53 |
| PVS | Bunts | 282 | 293 | 3.8 | 0.65 | 0.64 |
| Bunts | PVS | 239 | 301 | 20.6 | 3.77 | 3.57 |
| Navabharat | PVS | 441 | 502 | 12.2 | 2.81 | 2.72 |
| PVS | Navabharat | 464 | 474 | 2.1 | 0.46 | 0.46 |
| Hampankatta | Navabharat | 382 | 445 | 14.2 | 3.10 | 2.99 |
| Navabharat | Hampankatta | 357 | 420 | 15.0 | 3.20 | 3.07 |
| Jyothi | Bunts | 343 | 404 | 15.1 | 3.16 | 3.03 |
| Bunts | Jyothi | 378 | 394 | 4.1 | 0.81 | 0.81 |
| Jyothi | Balmatta | 315 | 366 | 13.9 | 2.76 | 2.67 |
| Balmatta | Jyothi | 476 | 517 | 7.9 | 1.84 | 1.80 |
| Balmatta | St. Theresa | 132 | 142 | 7.0 | 0.85 | 0.84 |
| St. Theresa | Balmatta | 174 | 161 | 8.1 | 1.00 | 1.02 |
| Bendoorwell | Balmatta | 270 | 291 | 7.2 | 1.25 | 1.23 |
| Balmatta | Bendoorwell | 275 | 336 | 18.2 | 3.49 | 3.33 |
| Bendoorwell | St. Theresa | 241 | 241 | 0.0 | 0.00 | 0.00 |
| St. Theresa | Bendoorwell | 205 | 220 | 6.8 | 1.03 | 1.01 |
| MAE | 9.6 | 1.89 | 1.83 | |||
Source: Authors own creation.
| Stages of Refinement | Mean Absolute Errors at the end of the stages (%) | Mean GEH Statistic |
|---|---|---|
| Initial trial (default value) | 33.4 | 7.06 |
| Stage 1 | 33.4 | 7.06 |
| Stages 2a, 2b, and 2c | 33.4 | 7.06 |
| Stages 3a and 3b | 32.9 | 6.94 |
| Stage 4 | 29.5 | 6.14 |
| Stage 5 | 27.5 | 5.82 |
| Stage 6 | 27.2 | 5.63 |
| Stages 7a and 7b | 24.5 | 5.12 |
| Stage 8 | 22.4 | 4.65 |
| Stage 9 | 20.1 | 4.08 |
| Stage 10 | 13.8 | 2.74 |
| Stage 11 | 10.3 | 2.05 |
| Stage 12 | 10.3 | 2.01 |
| Stage 13 | 10.2 | 1.97 |
| Stage 14 | 9.6 | 1.89 |
Source: Authors own creation.
| Sl. No. | Vehicle and Driver Characteristics | Calibrated Value | |||||
|---|---|---|---|---|---|---|---|
| Car | MTW | Auto-rickshaw | LCV | Bus | Truck | ||
| Vehicle and Driver Characteristics at the End of First Level of Calibrations | |||||||
| 1 | Minimum Lateral Clearances (m) | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
| 2 | Desired Accelerations at 50kmph (m/s2) | 1.7 | 1.6 | 0.5 | 0.7 | 0.5 | 0.4 |
| 3 | Maximum Accelerations at 50kmph (m/s2) | 1.8 | 1.7 | 0.6 | 0.8 | 0.7 | 0.7 |
| 4 | Deceleration Distributions (m/s2) | 2.8 | 2.8 | 2.4 | 2.1 | 2.2 | 1.8 |
| 5 | Desired Speed: Lower Bounds (kmph) | 35 | 30 | 30 | 38 | 37 | 30 |
| 6 | Desired Speed: Upper Bounds (kmph) | 70 | 60 | 55 | 68 | 65 | 60 |
| 7 | Minimum Look-ahead distances (m) | 40 | 40 | 40 | 40 | 40 | 40 |
| 8 | Minimum Look-back distances (m) | 30 | 30 | 30 | 30 | 30 | 30 |
| 9 | Average Stand Still Distances (m) | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |
| 10 | Additive Part of Desired Safety Distances (m) | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 |
| 11 | Multiplicative Part of Desired Safety Distances (m) | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
| 12 | Time-Between Direction Changes (s) | 5.0 | 5.0 | 5.0 | 5.0 | 5.0 | 5.0 |
| 13 | Minimum Longitudinal Speeds (kmph) | 1.9 | 1.9 | 1.9 | 1.9 | 1.9 | 1.9 |
| 14 | Minimum Collision Time-gains (s) | 0.57 | 0.57 | 0.57 | 0.57 | 0.57 | 0.57 |
| Vehicle and Driver Characteristics Revised at the End of Second Level of Calibrations | |||||||
| 1 | Average Stand Still Distance (m) | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 |
| 2 | Minimum Look-ahead distance (m) | 25 | 20 | 20 | 25 | 30 | 30 |
| 3 | Desired Speed: Lower Bounds (kmph) | 35 | 30 | 30 | 30 | 37 | 30 |
Source: Authors own creation.
Notes. MTW = Motorized two- wheelers, LCV = Light commercial vehicles of gross weight lesser than 7.5 metric tonnes.
| Vehicle and Driver Characteristics | Final Computed Values of Relative Importance(%) |
|---|---|
| Average Standstill Distance (m) | 36.03346781 |
| Minimum Look-ahead Distance (m) | 29.08247098 |
| Desired Speed: Lower Bounds (kmph) | 10.01939929 |
| Additive Part of Desired Safety Distance (m) | 6.018405862 |
| Minimum Look-back Distance (m) | 5.82585454 |
| Desired Acceleration at Desired Speed of 50 kmph (m/s2) | 4.047062691 |
| Maximum Acceleration at Desired Speed of 50 kmph (m/s2) | 3.425829983 |
| Multiplicative Part of Desired Safety Distance (m) | 1.990901583 |
| Minimum Longitudinal Speed (kmph) | 1.139688108 |
| Minimum Collision Time-gain (s) | 1.118960391 |
| Desired Speed: Upper Bounds (kmph) | 0.641713873 |
| Minimum Lateral Clearance (m) | 0.307529776 |
| Time-Between Direction Change (s) | 0.276678493 |
| Deceleration Distribution (m/s2) | 0.072036627 |
Source: Authors own creation.
| Direction of Traffic Flow | Simulated Volume | Observed Volume | Absolute Error (%) | GEH Statistic | RNSE Statistic | |
|---|---|---|---|---|---|---|
| From | To | |||||
| Jyothi | Hampankatta | 155 | 153 | 1.3 | 0.16 | 0.16 |
| Hampankatta | Jyothi | 146 | 167 | 12.6 | 1.68 | 1.63 |
| PVS | Bunts | 85 | 95 | 10.5 | 1.05 | 1.03 |
| Bunts | PVS | 77 | 94 | 18.1 | 1.84 | 1.75 |
| Navabharat | PVS | 147 | 164 | 10.4 | 1.36 | 1.33 |
| PVS | Navabharat | 129 | 184 | 29.9 | 4.40 | 4.05 |
| Hampankatta | Navabharat | 135 | 154 | 12.3 | 1.58 | 1.53 |
| Navabharat | Hampankatta | 117 | 105 | 11.4 | 1.14 | 1.17 |
| Jyothi | Bunts | 122 | 157 | 22.3 | 2.96 | 2.79 |
| Bunts | Jyothi | 136 | 108 | 25.9 | 2.54 | 2.69 |
| Jyothi | Balmatta | 106 | 115 | 7.8 | 0.86 | 0.84 |
| Balmatta | Jyothi | 169 | 155 | 9.0 | 1.10 | 1.12 |
| Balmatta | St. Theresa | 46 | 52 | 11.5 | 0.86 | 0.83 |
| St. Theresa | Balmatta | 61 | 50 | 22.0 | 1.48 | 1.56 |
| Bendoorwell | Balmatta | 99 | 91 | 8.8 | 0.82 | 0.84 |
| Balmatta | Bendoorwell | 96 | 110 | 12.7 | 1.38 | 1.33 |
| Bendoorwell | St. Theresa | 95 | 87 | 9.2 | 0.84 | 0.86 |
| St. Theresa | Bendoorwell | 70 | 79 | 11.4 | 1.04 | 1.01 |
| MAE | 13.7 | 1.51 | 1.47 | |||
Source: Authors own creation.
| Vehicle and Driver Characteristics | Suggested Values Ranges for Simulation | Calibrated Values after Second Level of Calibrations | ||||
|---|---|---|---|---|---|---|
| Siddharth and Ramadurai (2013)* | Mathew and Radhakrishnan (2010)† | ThePresent Study‡ | Siddharth and Ramadurai (2013)* | Mathew and Radhakrishnan (2010)† | ThePresent Study‡ | |
| Minimum Look-ahead Distances (m) | 10 - 30 | - | 10 - 50 | 27.91 | - | 20§, 25§, 30§ |
| Minimum Look-back Distances (m) | 10 - 30 | - | 10 - 50 | 14.31 | - | 30 |
| Average Standstill Distances (m) | 1.0 - 2.0 | 0.0 - 4.0 | 0.5 - 2.5 | 1.0 | 1.33 | 0.4 |
| Additive Part of Safety Distances (m) | 0.1 - 2.0 | 0.0 - 4.0 | 0.2 - 2.0 | 0.2 | 0.28 | 0.4 |
| Multiplicative Part of Safety Distances (m) | 0.0 - 3.0 | 0.0 - 5.0 | 0.2 - 3.0 | 0.78 | 0.16 | 0.5 |
Source: Authors own creation.
Based on studies performed in Chennai city, India.
Based on studies performed in Trivandrum city, India.
Based on studies performed in Mangalore city, India.
Minimum look-ahead distance of 20m for motorized two-wheelers and auto-rickshaws, 25 for cars and LCVs, 30 for buses and trucks.
