Robust user equilibrium model based on cumulative prospect theory under distribution-free travel time
来源期刊：中南大学学报(英文版)2015年第2期
论文作者：WANG Wei(王伟) SUN Hui-jun(孙会君) WU Jian-jun(吴建军)
文章页码：761 - 770
Key words：user equilibrium; cumulative prospect theory; distribution-free travel time; variational inequality
Abstract: The assumption widely used in the user equilibrium model for stochastic network was that the probability distributions of the travel time were known explicitly by travelers. However, this distribution may be unavailable in reality. By relaxing the restrictive assumption, a robust user equilibrium model based on cumulative prospect theory under distribution-free travel time was presented. In the absence of the cumulative distribution function of the travel time, the exact cumulative prospect value (CPV) for each route cannot be obtained. However, the upper and lower bounds on the CPV can be calculated by probability inequalities. Travelers were assumed to choose the routes with the best worst-case CPVs. The proposed model was formulated as a variational inequality problem and solved via a heuristic solution algorithm. A numerical example was also provided to illustrate the application of the proposed model and the efficiency of the solution algorithm.
WANG Wei(王伟)1, SUN Hui-jun(孙会君)1, WU Jian-jun(吴建军)2
(1. Key Laboratory for Urban Transportation Complex Systems Theory of Ministry of Education
(Beijing Jiaotong University), Beijing 100044, China;
2. State Key Laboratory of Rail Traffic Control and Safety (Beijing Jiaotong University), Beijing 100044, China)
Abstract:The assumption widely used in the user equilibrium model for stochastic network was that the probability distributions of the travel time were known explicitly by travelers. However, this distribution may be unavailable in reality. By relaxing the restrictive assumption, a robust user equilibrium model based on cumulative prospect theory under distribution-free travel time was presented. In the absence of the cumulative distribution function of the travel time, the exact cumulative prospect value (CPV) for each route cannot be obtained. However, the upper and lower bounds on the CPV can be calculated by probability inequalities. Travelers were assumed to choose the routes with the best worst-case CPVs. The proposed model was formulated as a variational inequality problem and solved via a heuristic solution algorithm. A numerical example was also provided to illustrate the application of the proposed model and the efficiency of the solution algorithm.
Key words:user equilibrium; cumulative prospect theory; distribution-free travel time; variational inequality
