Modeling and dynamic analysis for a kind of transportation system

Current urban rail transit system must be drastically improved to accommodate the predicted traffic growth. The urban rail transit network of signalized intersections can be suitably modeled as a discrete event system (DES), in which the train flow behavior is described by means of a time-driven model and the traffic dynamics are represented by a discrete event model. In this paper, we propose a max-plus general modeling framework adapted to the optimal control of traffic flow. The open-loop and closed-loop control models of train flow were established firstly. The max-plus model of such a network is used to state and solve the problem of coordinating several traffic flows with the aim of improving the performance of urban rail transit system. Starting from the state evolution of the urban rail transit system, the system stability and periodic steady-state analysis were presented. The main focus is to obtain key features of urban rail transit system and extend the framework by introducing new analysis techniques.