Traffic Assignment Models With Applications Under The Condition Of Vehicle’s Trail Number Restriction

The vehicle’s trail number restriction is regarded as one of the effective measures to alleviate traffic congestion in many cities. In view of this, a traffic assignment model with applications under the condition of vehicle’s trail number restriction has been studied in this paper. The first chapter introduces the background and the relevant research progress of the vehicle’s trail number restriction problem. In this chapter, current traffic control methods on the basis of vehicle’s trail number restriction are summarized. Some related fundamental methods and theories are also introduced. In chapter 2, the traffic equilibrium condition under the condition of vehicle’s trail number restriction is proposed. Then, the corresponding traffic assignment models under the condition of vehicle’s trail number restriction is formulated as a constrained optimization problem with the proof of equivalence condition. The solution algorithm are presented. Based on the traffic assignment model proposed in chapter 2, optimization of reserve capacity under vehicle’s trail number restriction is introduced to chapter 3. A bi-level programming model is adopted. In the upper level problem, the objective function is aimed to maximize the reserve capacity of the whole network, in which vehicle’s trail number restriction scheme is set as decision variable. In the lower level problem, traffic assignment model proposed in chapter 2 is employed to account for the path choice behaviors under the condition of vehicle’s trail number restriction. A heuristic algorithm is designed to solve the bi-level programming model. The results of examples indicates that the application of vehicle’s trail number restriction on some links can enhance the traffic capacity of the whole network or alleviate traffic congestion. In chapter 4, by the analysis of the network topology structure, a method to determine the key links is designed. Using this method to the traffic reserve capacity optimization bi-level programming model in chapter 3, can save the computational time and enhance the efficiency of algorithm. Finally, conclusions and the prospects are presented in chapter5.