Urban Arterial Signal Coordination Using Spatial and Temporal Division Methods

Table 2

Symbolic definition of decision variables and constant.

Type	Symbol	Definition
Constant		The least common multiple of the common periods and of the upstream subarea and the downstream subarea
		The cycle lengths of the first intersection in the downstream subarea within the least common multiple of time
		The cycle lengths of the last intersection in the upstream subarea within the least common multiple of time ;
Decision variables		The length of the common cycle of the upstream subarea;
		The length of the common cycle of the downstream subarea;
		The green phase time for the coordinated direction of the first intersection in the downstream subarea;
		The coordinated direction green time of the last intersection in the upstream subarea;
		The red phase time for the coordinated direction of the last intersection in the upstream subarea;
		The red phase time for the coordinated direction of the first intersection in the downstream subarea;
		The phase difference between the last intersection in the upstream subarea and the first intersection in the downstream subarea at time zero;
		The travel time from the last intersection in the upstream subarea to the first intersection in the downstream subarea;
		The travel time from the first intersection in the downstream subarea to the last intersection in the upstream subarea;
		The maximum phase difference between the last intersection in the upstream subarea and the first intersection in the downstream subarea at time zero, ;