基于满意准则的有限理性用户均衡流量分配性质研究

基于西蒙有限理性满意准则的研究框架, 研究了有限理性用户均衡下的并行网络交通分配问题. 通过引入满意水平的概念, 对有限理性用户均衡流量分配问题建立模型. 基于该模型, 通过考虑出行者满意水平的异质性和出行者对路径的偏好, 分析了有限理性用户均衡下交通流量分配的一些性质, 得到了有限理性用户均衡态存在的条件. 研究发现, 优先选择路径上的出行者满意水平不会低于次优先选择路径上的出行者满意水平, 还证明了当满意水平满足一定条件时, 有限理性用户均衡条件会变为完全理性用户均衡条件. 算例表明, 有限理性用户均衡对应的用户总成本不低于完全理性用户均衡下对应的用户总成本.

Properties of boundedly rational user equilibrium under satisficing rule in traffic assignment problem

Based on the framework of Simon's bounded rationality and satisficing rule, this paper investigates the traffic assignment problem in parallel network under boundedly rational user equilibrium (BRUE) condition. By introducing the concept of aspiration level, we first develop a novel model for the problem. The user heterogeneity is then considered according to aspiration level and preference to different routes. Properties and conditions required for the existence of BRUE are derived. The analytical results show that the user aspiration levels on the preferred route are no lower than that on the sub-preferred route. We also find that the BRUE condition can be reduced to the UE condition under certain conditions. Furthermore, the numerical result shows that the total travel times by various BRUE flow patterns are always no lower than that by UE flow pattern.