双向混合交通OD分布与用户平衡配流组合模型及算法

A Modeling Algorithm by Combining Two-way Mixed OD Distribution and User Equilibrium Assignment

传统四阶段法中,运量分布与均衡配流这2个阶段独立进行。在此背景下,基于我国城市道路机动车与非机动车混合双向行驶的特点和交通网络中各地区发展的不平衡性,借助于引力模型,建立了带有双约束的双向混合交通运量分布与均衡配流组合模型。在此基础上,进一步利用最优化的知识证明了模型的一阶条件与Wardrop用户平衡条件等价、模型解的惟一存在性及其OD流量满足运量分布的引力模型。给出了求解模型的具体算法,并通过算例证明了模型的一阶条件等价性。

In the traditional four-step method,traffic distribution and equilibrium flow assignment operate independently,which artificially disjoint the continuous process of traffic movement.In this context,based on the features of mixed traffic and uneven regional development over a network,a double constrained two-way combined traffic distribution and equilibrium model for the mixed traffic is proposed based on gravity model.In addition,this paper provides the proof of the equivalence of the first-order condition of the proposed model with Wardrop user equilibrium condition,the existence and uniqueness of solution of the model and OD flows satisfying traffic distribution and gravity assignment using!the optimization theory.Finally,the paper provides a solution algorithm of the model and proves the first-order condition of the model through an example.