Research Article

Capacity Model of Exclusive Right-Turn Lane at Signalized Intersection considering Pedestrian-Vehicle Interaction

Table 1

The key notations.

: saturation headway under ideal condition (s);
weight coefficients of utility function of the logit model;
utility function of pedestrian/vehicle;
principal component affecting pedestrian’s (vehicle’s) decision-making;
standardized variables affecting pedestrian’s (vehicle’s) decision-making;
probability of pedestrian’s (vehicle’s) choosing to cross () or not () at crosswalk cro;
average speed of traffic flow in the exclusive right-turn lane (km/h);
distance between vehicle and pedestrian (m);
payoff function;
security payoff of pedestrian or vehicle under situation ;
time payoff of pedestrian or vehicle under situation ;
the speed of pedestrian (vehicle) crossing the exclusive right-turn lane under situation ;
the time of pedestrian (vehicle) crossing the exclusive right-turn lane under situation ;
pedestrian’s decision-making payoff without the influence of vehicles;
vehicle’s decision-making payoff without the influence of pedestrians;
pedestrian’s (vehicle’s) decision-making payoff under the influence of vehicles (pedestrians);
probability of pedestrian (vehicle) choosing to cross or not in pedestrian-vehicle interaction evolutionary stage;
weight coefficients of payoff function;
exclusive right-turn lane capacity (veh/h);
the probability of different pedestrian-vehicle interaction situations;
(s);
the total time for pedestrians to cross the crosswalk cl in each cycle (s);
the total time for pedestrians to cross the crosswalk f in each cycle (s);
the total time for pedestrians to cross the crosswalks f and cl simultaneously in each cycle (s);
exclusive right-turn lane capacity under the influence of crosswalk cl or f (veh/h);
exclusive right-turn lane capacity without the influence of pedestrians (veh/h);
bidirectional pedestrian influence coefficients at crosswalk f or cl;
: average number of pedestrians per pedestrian cluster (ped);
capacity model coefficients at crosswalk f or cl (change with the number of pedestrians);
overlapping coefficients of bidirectional pedestrian-vehicle interaction;
the crossing time of pedestrians accumulated during red time in two different directions (1 or 2) and crosswalks (f or cl) under situation 1 (s);
the crossing time of pedestrians accumulated during red time in two different directions (1 or 2) and crosswalks (f or cl) under situation 2 (s);
the maximum of (s);
the maximum of (s);
pedestrian arrival rate at crosswalk f in direction 1 or 2 (ped/c);
pedestrian arrival rate at crosswalk cl in direction 1 or 2 (ped/c);
the proportion of accumulated pedestrians in the number of pedestrians arriving in each cycle;
area occupied by single pedestrian ();
the width of the crosswalk (m);
the width of the exclusive right-turn lane (m);
pedestrian crossing speed (m/s);
pedestrian-vehicle interactive probability of situation m at crosswalk f or cl;
pedestrian-vehicle interaction time of situation m (s);
pedestrian arrival rate at crosswalk f or cl (ped/c);
pedestrian arrival rate in direction 1 or 2 at crosswalk cro (ped/c);
yielding rate of crosswalk f or cl;
the time spent on vehicles passing at the early stage of pedestrian green time (s);
the number of vehicles passing at the early stage of pedestrian green time (veh);
: vehicle arrival rate of the exclusive right-turn lane (veh/h);
the speed of vehicle in the cellular automata model (acceleration: a);
the position of vehicle in the cellular automata model;
the speed of pedestrian in the cellular automata model;
the number of cells in front of, in front of the left, and in front of the right of cell (i, j).