双目标用户均衡下的交通流逐日动态演化模型  

A day-to-day traffic dynamic model with bi-objective user equilibrium

作　　者：徐薇[1] 马箫宇 徐红利[1] XU Wei;MA Xiao-yu;XU Hong-li(School of Management and Engineering,Nanjing University,Nanjing 210093,China)

机构地区：[1]南京大学工程管理学院,南京210093

出　　处：《管理科学学报》2020年第7期116-126,共11页Journal of Management Sciences in China

基　　金：国家自然科学基金资助项目(71671087,71571097).

摘　　要：时间和费用是出行者在路径选择时关注的两个重要目标,许多研究将两者加权组合为单目标来考虑,存在一定缺陷.在静态交通分配模型的研究中,已有学者提出将两者分开考虑的双目标用户均衡.然而,在动态交通分配模型中,现有研究仍多以传统的单目标用户均衡作为交通流演化的最终状态.因此,本文针对双目标用户均衡,提出了一种新的基于路径流量更新的交通流逐日动态演化模型,假设出行者在每天的路径选择中会将出行时间和收费分开比较以决定是否变换路径.论文从理论.上证明了该模型的收敛性,以及交通流演化的最终状态会达到双目标用户均衡,同时数值算例也验证了模型的有效性.Travel time and toll cost are two important objectives that travelers want to optimize when choosing a path.Many studies consider these two as a single objective by combining them in linear or nonlinear ways,which has certain defects proved by some researchers.In the studies of static traffic assignment model,some studies have proposed the bi-objective user equilibrium( BUE) which considers travel time and toll cost separately.However,most studies of dynamic traffic assignment model still consider the traditional single objective user equilibrium as the final stable state of traffic flow evolution.Therefore,a new path-based day-to-day dynamic model with BUE is proposed,assuming that travelers compare the travel time and toll cost separately to decide whether to switch paths each day.The equivalence between the stable state of the proposed dynamic model and BUE state,as well as the convergence of the dynamic model are theoretically proved.Two numerical examples are conducted to verify the effectiveness of the proposed model.

关 键 词：逐日动态 交通流演化 双目标用户均衡 收敛性 

分 类 号：F713.36[经济管理—产业经济]