ATIS作用下弹性需求混合交通均衡的效率损失

Inefficiency of Mixed Traffic Equilibrium with Elastic Demand under ATIS

在ATIS用户和利己用户组成的交通网络中,利己用户遵循用户均衡原则选择出行路径,其目的是最小化自身出行成本;先进出行者信息系统(ATIS)用户遵循系统最优原则选择出行路径,其目的是最小化系统总出行成本.本文基于ATIS用户和利己用户路径选择原则的异质性,对弹性需求下该类混合交通均衡分配的效率损失进行探讨.构建弹性需求下该类混合交通均衡分配的变分不等式模型,界定其效率损失上界.结果表明,效率损失上界与用户均衡时社会总收益与社会总剩余之比相关,还与用户均衡时路段上ATIS用户的流量与总流量之比有关.

A transportation network is associated with the selfish users and the users with Advanced Traveler Information Systems(ATIS).The selfish users select their routes comply with user equilibrium principle and try to minimize their own travel cost.The users with ATIS select their routes comply with system optimum principle and advice to minimize the total travel cost in the system.This paper investigates the inefficiency of the mixed traffic equilibrium assignment with elastic demand under ATIS and based on the user's heterogeneities on different route choice principles.A variational inequality model for the mixed traffic equilibrium assignment is proposed and the upper bound of the inefficiency derived.The results show that the upper bound of the inefficiency depends on the ratio of user benefit and the total social surplus at traffic equilibrium assignment state.It also depends on the ratio of link flow by users with ATIS and the total link flow at traffic equilibrium assignment state.