组合出行模式下多方式交通流分配模型及算法

Multi-modal traffic equilibrium model and algorithm with combined modes

首先运用超级网络理论构造适用于组合出行模式的交通超级网络。其次,在弹性需求的基础上,认为出行者出行模式及路径选择均具有随机性,给出广义费用下的路段费用函数表达式。运用交通平衡与变分不等式理论,分析弹性需求下组合出行模式的交通平衡条件,提出与平衡条件等价的变分不等式模型,并证明最优解的存在性与唯一性。最后,设计模型的求解算法,通过算例说明模型和算法的有效性,并分析参数变化对OD需求及模式划分的影响。算例结果表明:模型能够更真实地反映出行者的组合出行行为,具有一定的普适性。

A multi-modal traffic equilibrium model with combined modes is proposed. First, the super- network theory is applied to describe the traffic network with combined modes. Second, the mode and route choices are considered to be stochastic under elastic demand based on the generalized cost function. Using the network equilibrium theory, an equivalent variational inequality model is proposed after analyzing the network equilibrium conditions. Next, the existence and uniqueness of an optimal solution are given. Finally, a solution algorithm for solving the model is developed and validated by a numerical example. The influences of different parameters on Origin-Destination （OD） demand and modal split are analyzed. These results show that this model can reflect the combined travel behavior more practically and has certain generality.