后悔视角下的多用户多准则随机用户均衡模型  

A multi-class,multi-criteria stochastic user equilibrium model under regret theory view

作　　者：李梦[1] 黄海军[1] 

机构地区：[1]北京航空航天大学经济管理学院,北京100191

出　　处：《系统工程理论与实践》2017年第5期1322-1330,共9页Systems Engineering-Theory & Practice

基　　金：国家重点基础研究计划项目(973计划)(2012CB725401);中央高校基本科研业务费(YWF-16-JCTD-A-07)~~

摘　　要：在多用户多准则的交通网络中,假设出行者的出行时间价值是异质的,服从某一连续分布函数,且考虑出行者的后悔厌恶水平,建立了基于后悔理论的logit形式的随机用户均衡模型.然后,给出了与该模型等价的变分不等式问题,并使用相继平均法求解.最后用一个算例来说明所构建模型的合理性和所提出算法的可行性.算例结果表明,后悔厌恶水平确实影响出行者的路径选择行为,并且随着后悔厌恶水平的增加,高出行时间价值的出行者选择路径的变化幅度先大后小,相反低出行时间价值的出行者选择路径的变化幅度先小后大.In a multi-class, multi-criteria transportation network, a logit-based stochastic user equilibrium is developed based on regret theory by incorporating travelers＇ regret aversion. We postulate that the travelers are heterogeneous in terms of their value of time that follows a continuous distribution function. The proposed model is formulated as an equivalent variational inequality problem and solved by the path- based algorithm using the method of successive averages. Finally, a simple illustration is used to prove the reasonableness of the model and the feasibility of the algorithm. It is shown that the travelers＇ regret aversion level does influence their route choice behavior and that travelers with high value of time change route choice from small degree to large degree and travelers with low value of time from large degree to small degree.

关 键 词：随机用户均衡 后悔理论 随机效用最大 后悔厌恶 出行时间价值 

分 类 号：U491[交通运输工程—交通运输规划与管理]