通行能力退化路网中考虑ATIS信息影响的混合随机用户均衡模型研究

摘要

先进的出行者信息系统(简写 ATIS)不仅能帮助出行者获取更准确的交通时间信息,还能提高出行者在面对路网通行能力下降等随机事件时的应急和实时调整能力.本文提出了一类新的混合随机用户均衡模型,用以描述在通行能力随机退化的路网中,装备ATIS和未装备ATIS两类出行者各自的路径选择行为和由此形成的路网交通流均衡状态.在提出的模型中,ATIS 向出行者提供交通信息的优势体现在路网流量均衡分布状态的随机性更低,而ATIS 对出行者适应路网能力随机退化的强化优势,则通过路网流量的多均衡态加以体现.论文将该混合随机用户均衡模型表示成一个关于混合路径流量的不动点问题,并设计了一类迭代求解算法.通过数值算例,论文分析了模型的相关数学特性,并验证了迭代算法的求解效率.%Advanced traveler information systems (ATIS) can not only improve drivers; accessibility to the more accurate route travel time information, but also can improve drivers' adaptability to the stochastic network capacity degradations. In this paper, a mixed stochastic user equilibrium model was proposed to describe the interactive route choice behaviors between ATIS equipped and unequipped drivers on a degradable transport network. In the proposed model, the information accessibility of equipped drivers was reflected by lower degree of uncertainty in their stochastic equilibrium flow distributions, and their behavioral adaptability was captured by multiple equilibrium behaviors over the stochastic network state set. The mixed equilibrium model was formulated as a fixed point problem defined in the mixed route flows, and its solution was achieved by executing an iterative algorithm. Numerical experiments were provided to verify the properties of the mixed network equilibrium model and the efficiency of the iterative algorithm.