Research Article

Convergence Study of Minimizing the Nonconvex Total Delay Using the Lane-Based Optimization Method for Signal-Controlled Junctions

Table 3

Statistics of the example problem.

Model variablesNumber of variablesConstraintsNumber of constraints

Binary variables142Cutting planes93
 Permitted movements40Starts of green58
 Successor functions102Durations of green60
Order of signal displays51
Continuous variables110Clearance times68
 Lane flows48Cycle length1
 Starts of green29Maximum acceptable degree of saturation16
 Durations of green30Flow conservations12
 Cycle length1Minimum permitted movements in a lane8
 Common flow multiplier1Maximum permitted movements at exits3
 Auxiliary variable1Prohibited movements40
Permitted movements across adjacent lanes72
Flow factors72
Lane signal settings176
Others53

Total number252783