多用户多方式混合交通均衡变分模型及求解算法

Model and Solution Algorithm for Multi-User and Multi-Mode Mixed Traffic Equilibrium Variational Inequality

在城市混合交通路网中,出行者通常根据自己的出行偏好选择自己的交通方式和出行路径.考虑城市道路中不同交通方式之间的相互影响,把出行者按照时间价值划分为多个用户类型,每类出行者可选择自驾车、出租车或公交车方式出行.为解决这个多交通模式相互影响的混合交通均衡分配问题,从交通需求的角度出发,基于BPR公式构造了城市混合交通网络的路段旅行时间函数,建立了多用户多方式混合交通均衡变分不等式模型,并设计了基于对角化技术与MSA方法的混合求解算法.算例结果表明,高时间价值类出行者倾向于选择自驾车或出租车出行,低时间价值类出行者倾向于选择公交车出行.

In urban road network with mixed traffic modes,travelers frequently choose their mode and path according to their traveling preferences.Considering the mutual influences among different traffic modes in a general road network,travelers can be grouped into different user classes according to their time values.Each class of travelers can travel by car,taxi＇ or bus.To solve this mixed traffic equilibrium assignment problem with the mutual influences of different traffic modes,from the perspective of traffic demand,a link travel time function is developed using the BPR formula which is suitable for mixed urban traffic network.A model of multi-user and multi-mode mixed traffic equilibrium variational inequality is proposed and a hybrid solution algorithm is designed based on the diagonalization technique and the MSA method.The numerical analysis of a test network shows that the travelers with high time value tend to travel by car or taxi while the travelers with low time value tend to travel by bus.