带转向延误的非对称多模式用户平衡模型及算法

Model and Algorithm for Asymmetric Multimodal User Equilibrium with Turn Delays

为了在网络建模中更精确地反映交通网络和出行行为的复杂特征,从多模式用户平衡原理出发,综合考虑多模式和转向延误因素以及不同模式、路段和转向之间的非对称作用,利用变分不等式理论建立了带转向延误的非对称多模式用户平衡模型,并在精简对角化算法的框架内设计了求解算法。该模型集成了交通网络的诸多特征,且能直接刻画转向延误与转向流量之间的互动关系,避免了传统扩展网络法的缺陷。算例表明:该模型及其算法对问题的描述与求解是有效的。

In order to make network models approach the complexity of transportation networks and travel behaviors more closely, authors proposed a variational inequality formula theory based asymmetric multimodal user equilibrium model with turn delays, which complied with the multimodal user equilibrium principle and took into account the factors of multimodal and turn delays and the asymmetric interactions between modals, links and turns. Then, a solution algorithm for this model was designed in the framework of the streamlined diagonal algorithm. The model integrated some real characteristics of transportation networks, and directly described the interactions between turn delays and turn flows so as to avoid the shortcomings of the conventional network-expanding method. A numerical example shows that the model and the algorithm are valid to formulate and solve the problem concerned.