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This paper presents two real time nonlinear quadratic programming models according to two special oversaturation conditions to minimize the aggregate delay time of vehicles at each intersection by minimizing the total number of vehicles at each intersection at the signalized two intersections arterial. This can be extended to more than two intersections arterial network by expanding the groups which are explained in this paper. These models are developed under time varying incoming flow rates of vehicles. The most important factor of traffic signal control is the number of vehicles in a queue on the lanes of intersections. The initial number of vehicles on each lane at the intersections is counted by a camera which is the most exact method among other existing methods. These models are developed to minimize the number of waiting vehicles from cycle to cycle. These proposed models include inter green signal time this is one of the main aspect compared to other existing models proposed in the former research. These models also include restriction for upper bound for cycle time allocation which leads to exact and appropriate allocation for green signal time. Nonnegative queue lengths on lanes are maintained under special conditions for oversaturation case. The lower bound of green signal time is attained by oversaturation conditions of the models. These proposed models are solved by the interior point algorithm method coded in MATLAB environment.

Real Time Traffic Control under Time Varying Incoming Flow Rates of Vehicles to Minimize Waiting Time of Vehicles at Road Arterial Networks