Research Article

Tram-Oriented Traffic Signal Timing Resynchronization

Table 1

Parameters and variables.

NotationDescription

Indices and Sets

Set of direction, .
Set of intersections in the subsystem.
Set of tram stations.
Intersection immediately downstream of intersection .

Parameters

Predetermined vehicle bandwidth in direction in the subsystem.
Cycle length of the subsystem.
Green time for straight-moving vehicles at intersection in direction .
Green time for left-turn vehicles at intersection in direction .
Time needed for a tram to pass intersection safely.
Vehicle travel time in direction from intersections to .
Scale factor for vehicle bandwidth , ranging from 0 to 1.
Queue clearance time at intersection in direction .

Auxiliary Variables

Green time for trams at intersection in direction .
Initialized phase time for trams at intersection in direction .
Binary variables indicating whether the tram in direction could pass intersection without activating the green extensions. If so, . Otherwise, .

Decision Variables

Vehicle bandwidth in direction in the subsystem.
Tram bandwidth in direction in the subsystem.
Time from the right side of to the right edge of .
Tram travel time from intersections to in direction .
Dwell time at a station between intersections and in direction .
Integer variables used to represent vehicle band between intersections and in direction .
Integer variables used to represent tram band between intersections and in direction .
Time from the right side of to the right edge of .
Initialized phase time for straight-moving vehicles at intersection in direction .
, , Binary variables indicating the phase sequence at intersection .