Signal adaptive cooperative control of two adjacent traffic intersections using a two-stage algorithm

It is obvious that the traffic light plans of two intersections interact with each other, and the key problem for the system adjacent intersections is how to calculate of the arrival rates of the connection lanes of each phase. To treat the interaction of the two intersections, in this paper, the transition probabilities of the connection lanes of intersections 1 and 2 are introduced, which are utilized to compute the arrival rates of the connection lanes. In addition, since the green times of connection lanes interact with each other, a corresponding model of the phases of the connection lanes is proposed, which is employed to search for the optimal phase of the connection lanes. Moreover, the traffic time of the vehicles on the connection lanes is considered in the corresponding model. hen, an optimization model of the traffic signal of the two adjacent intersections is constructed. To solve the model, a novel two-stage algorithm is proposed. The first stage matches the arrival rates and the phase of the connection lanes of the two adjacent intersections. The second stage optimizes the model. Four numerical experiments are utilized to test the model and algorithm, and three other algorithms are chosen for comparison with our algorithm. The results of the numerical experiments demonstrate that the model and the algorithm are effective and that the model and algorithm can find more reasonable plans for the plans of two adjacent intersections.