Modelling and optimal control of oversaturated transportation networks

Abstract This paper treats an optimal control problem of automobile traffic flows in an oversaturated transportation network with a rectangular grid of intersections. All O-D (origin-destination) traffic flows are divided into portions at each origin and one route for travelling to the destination is assigned to the each portion. The traffic flows are controlled by the traffic signals placed at each intersection. Examples of numerical solutions, which are obtained by applying the linear-programming technique, are presented. The effect of route assignment for decreasing the traffic congestion is shown by the examples.