An analytical framework for vehicular traffic signal control integrated with dynamic traffic assignment using cell transmission model

This work presents two analytical models for the traffic signal control problem within dynamic traffic assignment framework. The bi-level formulation is based on a Stackelberg Duopoly game where the upper level objective is to determine optimal signal timing plans with the lower level representing a dynamic user equilibrium conditions. In addition, a single level system optimal model is proposed. Cell transmission model is adapted as the embedded traffic flow model in the form of a mathematical program. The single level program is solved and tested on a network containing multiple signalized intersections. It is found that the proposed model performs better than pre-timed signal timing plans.