考虑交叉口信号延误的平衡交通分配模型

针对具有一般信号相位结构的道路交通网络,通过对交叉口处道路交通流按相位分解,将车辆的信号延误耦合到交通分配问题中,相继建立了带有交叉口延误的确定性用户平衡分配和随机用户平衡分配问题的数学规划模型.通过对两个模型的一阶最优性条件的分析,证明了它们的最优解分别满足广义交通平衡分配问题(即同时考虑交叉口信号延误和路段拥挤延误)的Wardrop用户平衡条件和Logit分配准则.

Equilibrium assignment models with intersections signal delay

For urban signalized roads network with arbitrary signal structure at each intersection, two mathematical programming models for the user equilibrium assignment and stochastic user equilibrium assignment problems are established, in which both the intersections signal delay and queuing delay in roads that a vehicle meet are taken into account. Through the analysis of the first order optimal conditions of these models, it is shown that the solutions of these two models satisfy the Wardrop's principle on user equilibrium and Logit assignment pattern respectively.