ATIS和道路收费下混合SUE相对于SSO的效率损失

在ATIS和道路收费共同作用的异质性交通网络中,基于用户在信息接受程度与时间价值上的异质性,对用户进行合理分类,所有用户均按照随机方式进行择路.构建了多用户混合随机均衡等价的变分不等式模型,以及多用户随机社会最优模型.以用户感知的总出行成本作为系统性能评价的指标,当收费作为系统总成本的一部分时,分别在时间准则与费用准则下研究了多用户混合随机均衡相对于随机社会最优的绝对效率损失问题.研究结果表明,时间准则下的绝对效率损失上界与路段出行时间函数和混合随机均衡时系统的实际总出行时间有关,费用准则下的绝对效率损失上界还与出行者的社会经济特性和随机社会最优时系统的实际总出行时间有关.

Bounding the Inefficiency of the Mixed SUE Against the SSO under ATIS and Road Pricing

Consider a heterogeneous traffic network under ATIS and road pricing,based on the users' heterogeneities in terms of different information received and the value of time (VOT),users are classified into different classes according to their VOT,and then into three groups with the ATIS penetration and the information compliance rate,all of which are assumed to follow the stochastic user equilibrium (SUE).A multi-class mixed SUE model associated with its equivalent variational inequality (VI),and a multi-class stochastic social optimum (SSO) model are presented.If the total perceived travel cost of all users is used as the system performance index,the absolute efficiency loss of the mixed SUE against the SSO is investigated under the time-based and cost-based criterion,where the road pricing is considered as a part of the total system cost.The results show that the upper bound of the inefficiency under the time-based criterion is related to the link cost functions and the total actual travel time of the SUE.The upper bound of the inefficiency under the cost-based criterion is related to the users' socio-economic characteristics and the total actual travel time of the SSO besides the aforementioned factors.