Dynamic Straight-Right Lane Design at T-Shaped Intersections: Concept, Control, and Evaluation

Data Availability Statement

Acknowledgments

Notation

a

acceleration (m s⁻²);

a₀

initial acceleration (m s⁻²);

C_s

single-lane capacity (vehicles h⁻¹);

C_sr

straight-right lane capacity (vehicles h⁻¹);

$C_{sx}^1$

traditional intersection capacity (vehicles h⁻¹);

$C_{sx}^2$

optimized intersection capacity (vehicles h⁻¹);

C_sxi

intersection capacity of Phase i (vehicles h⁻¹);

K

traffic density (vehicles km⁻¹);

K₁

traffic density of the first vehicle in the DSRL (vehicles km⁻¹);

K₂

traffic density of the last vehicle in the DSRL (vehicles km⁻¹);

L

length of the DSRL (m);

L₀

initial length of the DSRL (m);

n

number of vehicles in the straight lane queued up to the stop line of the DSRL vehicle;

Q

traffic flow (vehicles h⁻¹);

Q₀

initial traffic flow (vehicles h⁻¹);

Q₁

traffic flow of the first vehicle in the DSRL (vehicles h⁻¹);

Q₂

traffic flow of the last vehicle in the DSRL (vehicles h⁻¹);

s_a

distance passes when the vehicle does uniform acceleration of linear motion (m);

s_b

distance that the vehicle passes through in a linear motion at a constant speed (m);

T

time within a cycle (s);

t

time when the last vehicle that can pass at the end of Phase 4 passes from S3 to the stop line (s);

$t_1^i$

time of the green phase in the straight lane of Phase i (s);

$t_2^i$

time of the green phase in the straight-right lane of Phase i (s);

t_a

time for the vehicle to make uniform acceleration in linear motion (s);

t_b

time at which the vehicle does a constant speed linear motion (s);

t_c

time elapsed from starting to passing the stop line at the inlet lane after the green light is on (s);

t_d

average time spent by a straight-going vehicle crossing a stop line (s);

t_j

phase j duration (s);

t_s

time of the green phase during the signal light cycle (s);

v

speed (km h⁻¹);

v₀

initial speed (km h⁻¹);

v₁

speed of the first vehicle in the DSRL (km h⁻¹);

v_max

maximum vehicle speed (km h⁻¹);

v_n

speed of the last vehicle in the DSRL (km h⁻¹);

W

speed of traffic wave in the DSRL (m s⁻¹);

θ_r

percentage of right-turn vehicles;

λ

split; and

φ

reduction factor.

References