Skip to main content
. Author manuscript; available in PMC: 2018 Sep 12.
Published in final edited form as: Transp Res Part C Emerg Technol. 2017 Mar;76:132–149. doi: 10.1016/j.trc.2017.01.003

Table 4.

Notations used in the research.

ADAS Algorithm
HWADAS (s) Threshold headway used by the ADAS algorithm. It represents the smallest safe headway. represents the boundary of the threshold headway
WD (m) Warning distance, a threshold distance used by the ADAS algorithm. It represents the shortest safe spacing between a subject vehicle and its leading vehicle
H Subject vehicle that hosts the ADAS system
L Leading vehicle in front of the subject vehicle
AHmax (m/s2) Anticipated maximum deceleration of the subject driver
A (m/s2) Current acceleration
V (m/s) Current speed
TLS (s) Time for the leading vehicle to stop: TLS = -VL-AL
TFS (s) Time for the subject vehicle to stop: THS = T – (VH + AH · PRT) / AHmax if VH + AH · PRT > 0, or THS = -VH - AH
RR (m/s) Range rate, which equals to VL - VH
D0 (m) Minimum distance between the leading vehicle and the host vehicle
TM (s) Time when RR is 0: TM = {[RR + (AL - AH)PRT / (AHmax - AL)} + PRT if TM > PRT, otherwise TM = PRT
WD* ADAS (m) Boundary of the warning distance, a function of the WD
Driver behavior parameters
σ Compliance level, a random number with a range of 0–100
DH* (s) Desired headway affected by the ADAS
PRT* (s) Perception-reaction time affected by the ADAS
DH0 (s) Desired headway of a driver not equipped with the ADAS
PRT0 (s) Perception-reaction time of a driver not equipped with the ADAS
Δt1 (s) ADAS influence time
Δt2 (s) Recovering time Car-following and lane-changing models
ṿ (m/s2) Acceleration of a modeled vehicle
a (m/s2) Maximum (acceptable) acceleration of a modeled driver
b (m/s2) Maximum (acceptable) deceleration of a modeled driver
v0 (m/s) Desired speed of a modeled driver
v (m/s) Actual speed of a modeled driver
Δv (m/s) Relative speed with the leading driver
S* (m) Desired following spacing
s0 (m) Spacing in jam traffic
s (m) Actual spacing between a subject driver and the leading driver
α, b Model coefficients in the intelligent driver model