File size: 37,471 Bytes
7ef6f81 | 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 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 | """
APOO Core Engine — Adaptive Platoon Offset Optimizer
====================================================
Core algorithms: Robertson's platoon dispersion (India-calibrated),
dynamic offset optimization, emission modeling, and simulation engine.
Author: APOO Project for MoRTH India
References:
- Robertson (1969): TRANSYT platoon dispersion model
- IRC:106-1990, IRC:SP:41: Indian PCU standards
- ARAI/CPCB BS-VI emission factors
- Kadiyali (2000), Mathew & Krishna Rao (2006): Indian β calibration
"""
import numpy as np
import pandas as pd
from dataclasses import dataclass, field
from typing import Dict, List, Optional, Tuple
import json
# ============================================================
# 1. INDIAN TRAFFIC CONSTANTS
# ============================================================
# IRC:106-1990 & IRC:SP:41 PCU values
PCU_INDIA = {
"car": 1.0,
"two_wheeler": 0.5,
"auto_rickshaw": 0.6,
"bus": 3.0,
"truck": 3.0,
"lcv": 1.4,
"bicycle": 0.5,
"cycle_rickshaw": 1.5,
}
# Typical Indian urban vehicle composition profiles (%)
VEHICLE_MIX_PROFILES = {
"metro_peak": {"two_wheeler": 0.55, "car": 0.25, "auto_rickshaw": 0.08, "bus": 0.05, "truck": 0.02, "lcv": 0.03, "bicycle": 0.01, "cycle_rickshaw": 0.01},
"metro_offpeak": {"two_wheeler": 0.50, "car": 0.22, "auto_rickshaw": 0.10, "bus": 0.06, "truck": 0.04, "lcv": 0.04, "bicycle": 0.02, "cycle_rickshaw": 0.02},
"tier2_peak": {"two_wheeler": 0.60, "car": 0.15, "auto_rickshaw": 0.10, "bus": 0.05, "truck": 0.03, "lcv": 0.02, "bicycle": 0.03, "cycle_rickshaw": 0.02},
"tier2_offpeak": {"two_wheeler": 0.55, "car": 0.12, "auto_rickshaw": 0.12, "bus": 0.06, "truck": 0.04, "lcv": 0.03, "bicycle": 0.05, "cycle_rickshaw": 0.03},
}
# Vehicle type average speeds (km/h) in Indian urban arterials
VEHICLE_SPEEDS_INDIA = {
"two_wheeler": {"free_flow": 40, "congested": 20, "saturated": 10},
"car": {"free_flow": 45, "congested": 18, "saturated": 8},
"auto_rickshaw": {"free_flow": 35, "congested": 15, "saturated": 7},
"bus": {"free_flow": 30, "congested": 12, "saturated": 5},
"truck": {"free_flow": 25, "congested": 10, "saturated": 4},
"lcv": {"free_flow": 35, "congested": 14, "saturated": 6},
"bicycle": {"free_flow": 15, "congested": 10, "saturated": 8},
"cycle_rickshaw": {"free_flow": 12, "congested": 8, "saturated": 5},
}
# ARAI/CPCB BS-VI Emission Factors (g/km)
EMISSION_FACTORS = {
"two_wheeler": {"CO": 0.50, "HC": 0.10, "NOx": 0.06, "PM25": 0.005, "CO2": 55},
"car": {"CO": 0.50, "HC": 0.05, "NOx": 0.06, "PM25": 0.003, "CO2": 120},
"auto_rickshaw": {"CO": 0.30, "HC": 0.06, "NOx": 0.06, "PM25": 0.003, "CO2": 48},
"bus": {"CO": 1.50, "HC": 0.20, "NOx": 0.40, "PM25": 0.010, "CO2": 550},
"truck": {"CO": 1.80, "HC": 0.25, "NOx": 0.46, "PM25": 0.025, "CO2": 900},
"lcv": {"CO": 0.50, "HC": 0.06, "NOx": 0.17, "PM25": 0.008, "CO2": 200},
"bicycle": {"CO": 0, "HC": 0, "NOx": 0, "PM25": 0, "CO2": 0},
"cycle_rickshaw": {"CO": 0, "HC": 0, "NOx": 0, "PM25": 0, "CO2": 0},
}
# Idle emission rates (g/min)
IDLE_EMISSION_RATES = {
"two_wheeler": {"CO": 0.10, "HC": 0.025, "NOx": 0.003, "CO2": 2.5},
"car": {"CO": 0.15, "HC": 0.010, "NOx": 0.005, "CO2": 8.0},
"auto_rickshaw": {"CO": 0.08, "HC": 0.015, "NOx": 0.004, "CO2": 3.0},
"bus": {"CO": 0.50, "HC": 0.050, "NOx": 0.080, "CO2": 55.0},
"truck": {"CO": 0.60, "HC": 0.060, "NOx": 0.090, "CO2": 60.0},
"lcv": {"CO": 0.20, "HC": 0.015, "NOx": 0.010, "CO2": 12.0},
"bicycle": {"CO": 0, "HC": 0, "NOx": 0, "CO2": 0},
"cycle_rickshaw": {"CO": 0, "HC": 0, "NOx": 0, "CO2": 0},
}
# Weather impact factors on speed
WEATHER_SPEED_FACTORS = {
"clear": 1.0,
"light_rain": 0.85,
"heavy_rain": 0.65, # Monsoon conditions
"fog": 0.70,
"night": 0.90,
}
# ============================================================
# 2. DATA STRUCTURES
# ============================================================
@dataclass
class RoadLink:
"""Represents a road link between two signals."""
link_id: str
length_m: float # meters
num_lanes: int
speed_limit_kmh: float
gradient_pct: float = 0.0 # positive = uphill
side_friction: float = 0.3 # 0-1, higher in India (vendors, parking)
saturation_flow_pcu_hr: float = 1500 # PCU/hr/lane (Indian default)
@dataclass
class SignalPhase:
"""Signal phase configuration."""
phase_id: int
green_time: float # seconds
amber_time: float = 3.0
all_red_time: float = 2.0
min_green: float = 10.0
max_green: float = 60.0
is_pedestrian: bool = False
@dataclass
class Intersection:
"""Represents a signalized intersection."""
intersection_id: str
name: str
cycle_length: float # seconds
phases: List[SignalPhase] = field(default_factory=list)
current_offset: float = 0.0 # offset from master clock
queue_length_pcu: float = 0.0
lat: float = 0.0
lon: float = 0.0
@dataclass
class Platoon:
"""Represents a vehicle platoon released from upstream signal."""
platoon_id: str
release_time: float # seconds from simulation start
size_vehicles: int
size_pcu: float
vehicle_composition: Dict[str, float] # type -> fraction
avg_speed_kmh: float
speed_std_kmh: float
head_time: float = 0.0 # arrival time of first vehicle
tail_time: float = 0.0 # arrival time of last vehicle
centroid_time: float = 0.0
@dataclass
class SimulationResult:
"""Results from a simulation run."""
method: str # "fixed" or "apoo"
total_delay_s: float
avg_delay_per_vehicle_s: float
total_stops: int
platoons_on_green: int
total_platoons: int
green_arrival_pct: float
total_fuel_ml: float
total_co2_g: float
total_co_g: float
total_nox_g: float
total_pm25_g: float
throughput_veh_hr: float
avg_speed_kmh: float
cycle_details: List[dict] = field(default_factory=list)
# ============================================================
# 3. ROBERTSON'S PLATOON DISPERSION MODEL (India-Calibrated)
# ============================================================
class RobertsonDispersion:
"""
Robertson's (1969) platoon dispersion model.
Calibrated for Indian heterogeneous traffic.
Core equation: q'(t) = F * q'(t-1) + (1-F) * alpha * q(t - t_bar)
Where:
alpha = 1 / (1 + beta * t_bar)
F = 1 - alpha
beta = dispersion factor (0.50-0.80 for Indian mixed traffic)
"""
def __init__(self, beta: float = 0.60):
"""
Args:
beta: Dispersion factor.
0.25-0.35 for homogeneous (Western cities)
0.50-0.80 for Indian heterogeneous traffic
Default 0.60 per Kadiyali/Mathew calibration.
"""
self.beta = beta
def compute_params(self, t_bar: float) -> Tuple[float, float]:
"""Compute alpha and F from beta and mean travel time."""
alpha = 1.0 / (1.0 + self.beta * t_bar)
F = 1.0 - alpha
return alpha, F
def disperse(
self,
departure_profile: np.ndarray,
link_length_m: float,
speed_kmh: float,
dt: float = 1.0,
vehicle_mix: Optional[Dict[str, float]] = None,
weather: str = "clear",
side_friction: float = 0.3,
) -> Tuple[np.ndarray, float]:
"""
Propagate platoon through a link using Robertson's model.
Args:
departure_profile: Flow (veh/s) at upstream signal per time step
link_length_m: Distance between signals (meters)
speed_kmh: Base free-flow speed
dt: Time step in seconds
vehicle_mix: Vehicle composition dict (affects beta)
weather: Weather condition
side_friction: Side friction factor (0-1)
Returns:
(arrival_profile, effective_travel_time)
"""
# Adjust speed for conditions
effective_speed = self._adjust_speed(speed_kmh, vehicle_mix, weather, side_friction)
# Mean travel time
t_bar = link_length_m / (effective_speed / 3.6) # seconds
# Adjust beta for vehicle composition (more 2W → higher dispersion)
effective_beta = self._adjust_beta(vehicle_mix)
alpha = 1.0 / (1.0 + effective_beta * t_bar)
F = 1.0 - alpha
# Robertson recurrence
shift = int(round(t_bar / dt))
T = len(departure_profile)
total_len = T + shift + int(30 / dt) # extra buffer for tail
arrival = np.zeros(total_len)
for t in range(1, total_len):
upstream_idx = t - shift
upstream_flow = departure_profile[upstream_idx] if 0 <= upstream_idx < T else 0.0
arrival[t] = F * arrival[t - 1] + (1 - F) * upstream_flow
return arrival, t_bar
def _adjust_speed(
self,
base_speed: float,
vehicle_mix: Optional[Dict[str, float]],
weather: str,
side_friction: float,
) -> float:
"""Adjust speed for Indian conditions."""
speed = base_speed
# Weather factor
speed *= WEATHER_SPEED_FACTORS.get(weather, 1.0)
# Side friction (higher friction → lower speed)
speed *= (1.0 - 0.3 * side_friction)
# Vehicle mix effect (heavy vehicles slow down flow)
if vehicle_mix:
heavy_fraction = sum(vehicle_mix.get(v, 0) for v in ["bus", "truck", "lcv", "cycle_rickshaw"])
speed *= (1.0 - 0.15 * heavy_fraction)
return max(speed, 5.0) # Minimum 5 km/h
def _adjust_beta(self, vehicle_mix: Optional[Dict[str, float]]) -> float:
"""Adjust dispersion factor based on vehicle composition.
Two-wheelers increase dispersion (they filter through traffic).
Homogeneous traffic (all cars) → lower beta.
"""
if vehicle_mix is None:
return self.beta
two_wheeler_frac = vehicle_mix.get("two_wheeler", 0)
auto_frac = vehicle_mix.get("auto_rickshaw", 0)
# More 2W/autos → higher dispersion
mix_factor = 1.0 + 0.3 * two_wheeler_frac + 0.2 * auto_frac
return min(self.beta * mix_factor, 0.90)
# ============================================================
# 4. EMISSION CALCULATOR
# ============================================================
class EmissionCalculator:
"""Calculate emissions from traffic operations."""
@staticmethod
def running_emissions(distance_km: float, vehicle_counts: Dict[str, int]) -> Dict[str, float]:
"""Emissions from vehicles traveling a distance."""
totals = {"CO": 0, "HC": 0, "NOx": 0, "PM25": 0, "CO2": 0}
for vtype, count in vehicle_counts.items():
factors = EMISSION_FACTORS.get(vtype, EMISSION_FACTORS["car"])
for pollutant in totals:
totals[pollutant] += count * factors[pollutant] * distance_km
return totals
@staticmethod
def idle_emissions(idle_time_s: float, vehicle_counts: Dict[str, int]) -> Dict[str, float]:
"""Emissions from vehicles idling at a red signal."""
totals = {"CO": 0, "HC": 0, "NOx": 0, "CO2": 0}
idle_min = idle_time_s / 60.0
for vtype, count in vehicle_counts.items():
rates = IDLE_EMISSION_RATES.get(vtype, IDLE_EMISSION_RATES.get("car", {}))
for pollutant in totals:
if pollutant in rates:
totals[pollutant] += count * rates[pollutant] * idle_min
return totals
@staticmethod
def fuel_consumption_ml(idle_time_s: float, distance_km: float,
vehicle_counts: Dict[str, int]) -> float:
"""Estimate fuel consumption (mL) using CO2 as proxy.
Gasoline: ~2.31 kg CO2 per liter.
"""
running = EmissionCalculator.running_emissions(distance_km, vehicle_counts)
idling = EmissionCalculator.idle_emissions(idle_time_s, vehicle_counts)
total_co2_g = running["CO2"] + idling.get("CO2", 0)
fuel_liters = total_co2_g / 2310 # g CO2 → liters gasoline
return fuel_liters * 1000 # mL
# ============================================================
# 5. OFFSET OPTIMIZER
# ============================================================
class OffsetOptimizer:
"""Dynamic platoon-based offset adjustment algorithm."""
def __init__(self, safety_buffer_s: float = 10.0):
"""
Args:
safety_buffer_s: Safety buffer in seconds (higher for Indian conditions).
Recommended: 10-20s for India.
"""
self.safety_buffer = safety_buffer_s
def calculate_ideal_offset(
self,
t_arrive_head: float,
t_arrive_tail: float,
cycle_length: float,
current_green_start: float,
green_duration: float,
min_green: float = 10.0,
prediction_uncertainty: float = 5.0,
) -> Tuple[float, float, bool]:
"""
Calculate the ideal offset to maximize platoon-green overlap.
Args:
t_arrive_head: Predicted arrival time of platoon head (s from cycle start)
t_arrive_tail: Predicted arrival of platoon tail
cycle_length: Signal cycle length (s)
current_green_start: Current green start time within cycle
green_duration: Green phase duration
min_green: Minimum green for cross traffic
prediction_uncertainty: Std dev of prediction (s)
Returns:
(optimal_offset, overlap_fraction, is_feasible)
"""
# Arrival window (within cycle)
arrive_head_mod = (t_arrive_head - self.safety_buffer) % cycle_length
arrive_tail_mod = (t_arrive_tail + prediction_uncertainty) % cycle_length
platoon_window = t_arrive_tail - t_arrive_head + self.safety_buffer + prediction_uncertainty
# Try different offsets and find best overlap
best_offset = current_green_start
best_overlap = 0.0
for trial_offset in np.linspace(0, cycle_length, 100):
green_start = trial_offset % cycle_length
green_end = (green_start + green_duration) % cycle_length
# Calculate overlap between green window and arrival window
overlap = self._calculate_overlap(
arrive_head_mod, arrive_tail_mod,
green_start, green_end,
cycle_length
)
if overlap > best_overlap:
best_overlap = overlap
best_offset = trial_offset
# Check feasibility (respect min cross-traffic green)
remaining_for_cross = cycle_length - green_duration
is_feasible = remaining_for_cross >= min_green
overlap_fraction = best_overlap / max(platoon_window, 1.0)
return best_offset, overlap_fraction, is_feasible
def _calculate_overlap(
self, a_start: float, a_end: float,
g_start: float, g_end: float,
cycle: float
) -> float:
"""Calculate temporal overlap between arrival window and green phase."""
# Handle wrap-around in cycle
if a_end < a_start:
a_end += cycle
if g_end < g_start:
g_end += cycle
overlap_start = max(a_start, g_start)
overlap_end = min(a_end, g_end)
return max(0, overlap_end - overlap_start)
def constrain_offset(
self,
ideal_offset: float,
cycle_length: float,
max_shift: float = None,
) -> float:
"""Apply constraints to keep offset within bounds."""
if max_shift is None:
max_shift = cycle_length * 0.3 # Max 30% cycle shift
# Clamp to valid range
offset = ideal_offset % cycle_length
return offset
# ============================================================
# 6. SYNTHETIC DATA GENERATOR (Indian Conditions)
# ============================================================
class IndianTrafficGenerator:
"""Generate synthetic traffic data calibrated for Indian conditions."""
def __init__(self, seed: int = 42):
self.rng = np.random.RandomState(seed)
def generate_corridor(
self,
n_intersections: int = 5,
base_link_length: float = 300,
city_type: str = "metro",
) -> Tuple[List[Intersection], List[RoadLink]]:
"""Generate a synthetic arterial corridor."""
intersections = []
links = []
base_cycle = 120 if city_type == "metro" else 90
for i in range(n_intersections):
phases = [
SignalPhase(phase_id=0, green_time=40 + self.rng.randint(-5, 10)),
SignalPhase(phase_id=1, green_time=25 + self.rng.randint(-5, 5)),
SignalPhase(phase_id=2, green_time=15, is_pedestrian=True),
]
cycle = sum(p.green_time + p.amber_time + p.all_red_time for p in phases)
intersections.append(Intersection(
intersection_id=f"INT_{i}",
name=f"Intersection {i+1}",
cycle_length=cycle,
phases=phases,
current_offset=i * 20, # Initial fixed offset
lat=23.2599 + i * 0.003, # Bhopal coordinates as example
lon=77.4126 + i * 0.003,
))
for i in range(n_intersections - 1):
length = base_link_length + self.rng.uniform(-50, 100)
links.append(RoadLink(
link_id=f"LINK_{i}_{i+1}",
length_m=length,
num_lanes=2 + self.rng.choice([0, 1]),
speed_limit_kmh=40 + self.rng.choice([-10, 0, 10]),
gradient_pct=self.rng.uniform(-2, 2),
side_friction=0.2 + self.rng.uniform(0, 0.3),
saturation_flow_pcu_hr=1400 + self.rng.randint(-100, 200),
))
return intersections, links
def generate_demand_profile(
self,
duration_hours: float = 2.0,
peak_flow_veh_hr: float = 2000,
profile_type: str = "morning_peak",
city_type: str = "metro",
) -> pd.DataFrame:
"""Generate time-varying demand with Indian characteristics."""
dt_min = 5 # 5-minute intervals
n_steps = int(duration_hours * 60 / dt_min)
times = np.arange(n_steps) * dt_min
# Demand profile shape
if profile_type == "morning_peak":
# Ramp up, peak, slight decline
demand_factor = np.concatenate([
np.linspace(0.3, 1.0, n_steps // 3),
np.ones(n_steps // 3) * 1.0,
np.linspace(1.0, 0.6, n_steps - 2 * (n_steps // 3)),
])
elif profile_type == "evening_peak":
demand_factor = np.concatenate([
np.linspace(0.5, 0.9, n_steps // 4),
np.linspace(0.9, 1.0, n_steps // 4),
np.ones(n_steps // 4) * 1.0,
np.linspace(1.0, 0.4, n_steps - 3 * (n_steps // 4)),
])
else: # off_peak
demand_factor = 0.4 + 0.1 * np.sin(2 * np.pi * times / (duration_hours * 60))
# Add stochastic noise (Indian traffic is highly variable)
noise = 1.0 + self.rng.normal(0, 0.15, n_steps)
noise = np.clip(noise, 0.5, 1.5)
flow = peak_flow_veh_hr * demand_factor * noise
# Vehicle mix (varies with time)
mix_key = f"{city_type}_peak" if profile_type != "off_peak" else f"{city_type}_offpeak"
if mix_key not in VEHICLE_MIX_PROFILES:
mix_key = "metro_peak"
base_mix = VEHICLE_MIX_PROFILES[mix_key]
records = []
for i, t in enumerate(times):
# Slight time variation in mix (more 2W in peak)
mix = dict(base_mix)
if demand_factor[i] > 0.8:
mix["two_wheeler"] = min(mix["two_wheeler"] * 1.1, 0.70)
mix["car"] = mix["car"] * 0.9
# Normalize
total = sum(mix.values())
mix = {k: v / total for k, v in mix.items()}
record = {
"time_min": t,
"flow_veh_hr": flow[i],
"flow_pcu_hr": self._to_pcu_flow(flow[i], mix),
}
for vtype, frac in mix.items():
record[f"pct_{vtype}"] = frac * 100
records.append(record)
return pd.DataFrame(records)
def generate_training_data(
self,
n_samples: int = 5000,
city_type: str = "metro",
) -> pd.DataFrame:
"""Generate training data for ML travel time prediction model."""
records = []
for i in range(n_samples):
# Random link characteristics
link_length = self.rng.uniform(150, 600)
speed_limit = self.rng.choice([30, 40, 50, 60])
num_lanes = self.rng.choice([2, 3, 4])
gradient = self.rng.uniform(-3, 3)
side_friction = self.rng.uniform(0.1, 0.6)
# Vehicle composition
mix_type = self.rng.choice(list(VEHICLE_MIX_PROFILES.keys()))
base_mix = dict(VEHICLE_MIX_PROFILES[mix_type])
# Add noise to mix
for k in base_mix:
base_mix[k] *= (1 + self.rng.normal(0, 0.1))
total = sum(base_mix.values())
base_mix = {k: v / total for k, v in base_mix.items()}
# Traffic conditions
density = self.rng.uniform(10, 80) # veh/km/lane
weather = self.rng.choice(["clear", "clear", "clear", "light_rain", "heavy_rain", "fog"])
time_of_day = self.rng.uniform(0, 24) # hours
is_peak = 1 if (7 <= time_of_day <= 10) or (17 <= time_of_day <= 20) else 0
day_type = self.rng.choice(["weekday", "weekday", "weekday", "weekday", "weekday", "weekend", "weekend"])
# Platoon characteristics
platoon_size = self.rng.randint(5, 40)
platoon_pcu = self._platoon_pcu(platoon_size, base_mix)
# Compute actual travel time using physics + stochastic model
base_speed = self._compute_base_speed(
speed_limit, base_mix, density, weather, side_friction, gradient
)
base_tt = link_length / (base_speed / 3.6) # seconds
# Add realistic noise (higher in India)
noise_factor = 1.0 + self.rng.normal(0, 0.15 + 0.1 * is_peak)
noise_factor = max(noise_factor, 0.6)
actual_tt = base_tt * noise_factor
# Dispersion time (how much platoon spreads)
two_w_pct = base_mix.get("two_wheeler", 0)
dispersion = actual_tt * (0.1 + 0.3 * two_w_pct) # 2W cause more dispersion
records.append({
"link_length_m": link_length,
"speed_limit_kmh": speed_limit,
"num_lanes": num_lanes,
"gradient_pct": gradient,
"side_friction": side_friction,
"pct_two_wheeler": base_mix.get("two_wheeler", 0) * 100,
"pct_car": base_mix.get("car", 0) * 100,
"pct_auto": base_mix.get("auto_rickshaw", 0) * 100,
"pct_bus": base_mix.get("bus", 0) * 100,
"pct_truck": base_mix.get("truck", 0) * 100,
"density_veh_km_lane": density,
"weather_speed_factor": WEATHER_SPEED_FACTORS.get(weather, 1.0),
"time_of_day_sin": np.sin(2 * np.pi * time_of_day / 24),
"time_of_day_cos": np.cos(2 * np.pi * time_of_day / 24),
"is_peak": is_peak,
"is_weekend": 1 if day_type == "weekend" else 0,
"platoon_size": platoon_size,
"platoon_pcu": platoon_pcu,
"upstream_queue_pcu": self.rng.uniform(0, 30),
"downstream_queue_pcu": self.rng.uniform(0, 20),
"actual_travel_time_s": actual_tt,
"platoon_dispersion_s": dispersion,
"weather": weather,
"city_type": city_type,
"mix_type": mix_type,
})
return pd.DataFrame(records)
def _compute_base_speed(
self, speed_limit, vehicle_mix, density, weather, side_friction, gradient
):
"""Compute effective speed from conditions."""
# Start with limit
speed = speed_limit
# Greenshields-like density relationship
jam_density = 150 # veh/km/lane (Indian conditions)
if density < jam_density:
speed *= (1 - (density / jam_density) ** 1.5)
else:
speed = 5.0 # gridlock
# Weather
speed *= WEATHER_SPEED_FACTORS.get(weather, 1.0)
# Side friction
speed *= (1 - 0.25 * side_friction)
# Gradient (uphill slows, downhill speeds up slightly)
speed *= (1 - 0.02 * gradient)
# Heavy vehicle slowdown
heavy_frac = sum(vehicle_mix.get(v, 0) for v in ["bus", "truck", "cycle_rickshaw"])
speed *= (1 - 0.15 * heavy_frac)
return max(speed, 3.0)
def _to_pcu_flow(self, flow_veh_hr, vehicle_mix):
"""Convert vehicle flow to PCU flow."""
pcu_factor = sum(vehicle_mix.get(vtype, 0) * PCU_INDIA.get(vtype, 1.0)
for vtype in vehicle_mix)
return flow_veh_hr * pcu_factor
def _platoon_pcu(self, platoon_size, vehicle_mix):
"""Convert platoon vehicle count to PCU."""
pcu = 0
for vtype, frac in vehicle_mix.items():
count = int(platoon_size * frac)
pcu += count * PCU_INDIA.get(vtype, 1.0)
return pcu
# ============================================================
# 7. CORRIDOR SIMULATION ENGINE
# ============================================================
class CorridorSimulator:
"""
Simulates traffic flow through a corridor of signals.
Compares fixed-time vs. APOO adaptive timing.
"""
def __init__(
self,
intersections: List[Intersection],
links: List[RoadLink],
robertson: RobertsonDispersion = None,
optimizer: OffsetOptimizer = None,
emission_calc: EmissionCalculator = None,
):
self.intersections = intersections
self.links = links
self.robertson = robertson or RobertsonDispersion(beta=0.60)
self.optimizer = optimizer or OffsetOptimizer(safety_buffer_s=12.0)
self.emission_calc = emission_calc or EmissionCalculator()
self.rng = np.random.RandomState(42)
def simulate(
self,
demand_profile: pd.DataFrame,
vehicle_mix: Dict[str, float],
weather: str = "clear",
method: str = "fixed", # "fixed" or "apoo"
ml_model=None,
ml_features_func=None,
) -> SimulationResult:
"""
Run a full corridor simulation.
Args:
demand_profile: DataFrame with time_min and flow_veh_hr
vehicle_mix: Vehicle composition
weather: Weather condition
method: "fixed" (baseline) or "apoo" (adaptive)
ml_model: Trained ML model for APOO travel time prediction
ml_features_func: Function to extract features for ML model
Returns:
SimulationResult
"""
total_delay = 0
total_stops = 0
total_vehicles = 0
platoons_on_green = 0
total_platoons = 0
total_idle_time = 0
cycle_details = []
n_links = len(self.links)
for _, row in demand_profile.iterrows():
time_min = row["time_min"]
flow = row["flow_veh_hr"]
# Generate platoon for this time step
platoon_size = max(1, int(flow * 5 / 3600)) # vehicles in 5-min window
for link_idx in range(n_links):
link = self.links[link_idx]
upstream = self.intersections[link_idx]
downstream = self.intersections[link_idx + 1]
# Create departure profile (uniform discharge during green)
green_time = upstream.phases[0].green_time
discharge_rate = platoon_size / green_time # veh/s
departure = np.zeros(int(upstream.cycle_length))
green_start = int(upstream.current_offset % upstream.cycle_length)
for t in range(green_start, min(green_start + int(green_time), len(departure))):
departure[t] = discharge_rate
# Robertson dispersion
arrival_profile, travel_time = self.robertson.disperse(
departure, link.length_m,
link.speed_limit_kmh,
vehicle_mix=vehicle_mix,
weather=weather,
side_friction=link.side_friction,
)
# Determine if platoon arrives on green
platoon_centroid = travel_time + green_start
if method == "apoo":
# Predict travel time (use ML model if available, else Robertson)
if ml_model is not None and ml_features_func is not None:
features = ml_features_func(link, vehicle_mix, weather, time_min, flow)
predicted_tt = ml_model.predict(features.reshape(1, -1))[0]
uncertainty = abs(predicted_tt - travel_time) * 0.5 + 3.0
else:
predicted_tt = travel_time
uncertainty = travel_time * 0.12 # 12% uncertainty
# Optimize offset
t_arrive_head = green_start + predicted_tt - uncertainty
t_arrive_tail = green_start + predicted_tt + uncertainty + 5
optimal_offset, overlap_frac, feasible = self.optimizer.calculate_ideal_offset(
t_arrive_head, t_arrive_tail,
downstream.cycle_length,
downstream.current_offset,
downstream.phases[0].green_time,
prediction_uncertainty=uncertainty,
)
if feasible:
downstream.current_offset = optimal_offset
# Check green arrival
ds_green_start = downstream.current_offset
ds_green_end = ds_green_start + downstream.phases[0].green_time
centroid_in_cycle = platoon_centroid % downstream.cycle_length
on_green = ds_green_start <= centroid_in_cycle <= ds_green_end
total_platoons += 1
if on_green:
platoons_on_green += 1
delay = self.rng.uniform(2, 8) # Minor delay even on green
else:
# Calculate delay (wait for next green)
if centroid_in_cycle < ds_green_start:
delay = ds_green_start - centroid_in_cycle
else:
delay = downstream.cycle_length - centroid_in_cycle + ds_green_start
delay += self.rng.uniform(0, 5) # queue discharge delay
total_stops += platoon_size
total_delay += delay * platoon_size
total_vehicles += platoon_size
total_idle_time += delay * (0 if on_green else 1) # Only count red-signal idle
cycle_details.append({
"time_min": time_min,
"link_idx": link_idx,
"travel_time_s": travel_time,
"delay_s": delay,
"on_green": on_green,
"platoon_size": platoon_size,
"offset": downstream.current_offset,
"method": method,
})
# Calculate emissions
total_distance_km = sum(l.length_m for l in self.links) / 1000
vehicle_counts = {vtype: max(1, int(total_vehicles * frac))
for vtype, frac in vehicle_mix.items()}
running = self.emission_calc.running_emissions(total_distance_km, vehicle_counts)
idling = self.emission_calc.idle_emissions(total_idle_time, vehicle_counts)
fuel = self.emission_calc.fuel_consumption_ml(total_idle_time, total_distance_km, vehicle_counts)
avg_delay = total_delay / max(total_vehicles, 1)
green_pct = (platoons_on_green / max(total_platoons, 1)) * 100
# Average speed considering delay
total_distance = sum(l.length_m for l in self.links)
avg_travel_time = total_distance / (30 / 3.6) + avg_delay # base + delay
avg_speed = (total_distance / 1000) / (avg_travel_time / 3600) if avg_travel_time > 0 else 0
throughput = total_vehicles / (demand_profile["time_min"].max() / 60) if len(demand_profile) > 0 else 0
return SimulationResult(
method=method,
total_delay_s=total_delay,
avg_delay_per_vehicle_s=avg_delay,
total_stops=total_stops,
platoons_on_green=platoons_on_green,
total_platoons=total_platoons,
green_arrival_pct=green_pct,
total_fuel_ml=fuel,
total_co2_g=running["CO2"] + idling.get("CO2", 0),
total_co_g=running["CO"] + idling.get("CO", 0),
total_nox_g=running["NOx"] + idling.get("NOx", 0),
total_pm25_g=running.get("PM25", 0),
throughput_veh_hr=throughput,
avg_speed_kmh=avg_speed,
cycle_details=cycle_details,
)
# ============================================================
# 8. UTILITY FUNCTIONS
# ============================================================
def compute_pcu_flow(flow_veh_hr: float, vehicle_mix: Dict[str, float]) -> float:
"""Convert vehicle flow to PCU-equivalent flow."""
pcu_factor = sum(frac * PCU_INDIA.get(vtype, 1.0)
for vtype, frac in vehicle_mix.items())
return flow_veh_hr * pcu_factor
def format_kpi_comparison(fixed: SimulationResult, apoo: SimulationResult) -> pd.DataFrame:
"""Create a comparison table of KPIs."""
metrics = [
("Avg Delay per Vehicle (s)", f"{fixed.avg_delay_per_vehicle_s:.1f}",
f"{apoo.avg_delay_per_vehicle_s:.1f}",
f"{((fixed.avg_delay_per_vehicle_s - apoo.avg_delay_per_vehicle_s) / max(fixed.avg_delay_per_vehicle_s, 0.01)) * 100:.1f}%"),
("Platoons Arriving on Green (%)", f"{fixed.green_arrival_pct:.1f}",
f"{apoo.green_arrival_pct:.1f}",
f"+{apoo.green_arrival_pct - fixed.green_arrival_pct:.1f}pp"),
("Total Stops", f"{fixed.total_stops:,}", f"{apoo.total_stops:,}",
f"{((fixed.total_stops - apoo.total_stops) / max(fixed.total_stops, 1)) * 100:.1f}%"),
("Total CO₂ (g)", f"{fixed.total_co2_g:.0f}", f"{apoo.total_co2_g:.0f}",
f"{((fixed.total_co2_g - apoo.total_co2_g) / max(fixed.total_co2_g, 0.01)) * 100:.1f}%"),
("Total CO (g)", f"{fixed.total_co_g:.1f}", f"{apoo.total_co_g:.1f}",
f"{((fixed.total_co_g - apoo.total_co_g) / max(fixed.total_co_g, 0.01)) * 100:.1f}%"),
("Total NOx (g)", f"{fixed.total_nox_g:.1f}", f"{apoo.total_nox_g:.1f}",
f"{((fixed.total_nox_g - apoo.total_nox_g) / max(fixed.total_nox_g, 0.01)) * 100:.1f}%"),
("Fuel Consumption (mL)", f"{fixed.total_fuel_ml:.0f}", f"{apoo.total_fuel_ml:.0f}",
f"{((fixed.total_fuel_ml - apoo.total_fuel_ml) / max(fixed.total_fuel_ml, 0.01)) * 100:.1f}%"),
("Avg Speed (km/h)", f"{fixed.avg_speed_kmh:.1f}", f"{apoo.avg_speed_kmh:.1f}",
f"+{apoo.avg_speed_kmh - fixed.avg_speed_kmh:.1f}"),
("Throughput (veh/hr)", f"{fixed.throughput_veh_hr:.0f}", f"{apoo.throughput_veh_hr:.0f}",
f"+{apoo.throughput_veh_hr - fixed.throughput_veh_hr:.0f}"),
]
return pd.DataFrame(metrics, columns=["KPI", "Fixed-Time", "APOO Adaptive", "Improvement"])
if __name__ == "__main__":
# Quick test
gen = IndianTrafficGenerator(seed=42)
intersections, links = gen.corridor(n_intersections=5)
demand = gen.generate_demand_profile()
training_data = gen.generate_training_data(n_samples=100)
print(f"Generated corridor: {len(intersections)} intersections, {len(links)} links")
print(f"Demand profile: {len(demand)} time steps")
print(f"Training data: {len(training_data)} samples")
print(f"Training columns: {list(training_data.columns)}")
|