Status quo-dependent user equilibrium model with adaptive value of time. (April 2023)

• Record Type: Journal Article
• Authors: Ding, Hongxing; Yang, Hai; Xu, Hongli; Li, Ting
• Is Part Of: Transportation research. Volume 170(2023)
• Page Start: 77
• Page End: 90
• Publication Date: 2023-04
• Subjects: Status quo-dependency -- User equilibrium -- Adaptive value of time -- Route choice; Transportation -- Research -- Periodicals; Transportation -- Mathematical models -- Periodicals
• DOI: 10.1016/j.trb.2023.02.012
• Languages: English
• ISSNs: 0191-2615

Abstract

Highlights: This study proposes a Status quo-dependent User Equilibrium (SDUE) model. The SDUE model adopts the adaptive VOT to incorporate various route choice behavior. The solution set to the SDUE could include all possible traffic flow patterns with VOTs varying among users and across scenarios. The SDUE model can be reduced to various previous UE models. Abstract: Based on the status quo-dependent route choice model in Xu et al. (2017), this study encapsulates the route choice model into traffic assignment modeling and establishes a Status quo-dependent User Equilibrium (SDUE) model. The proposed SDUE model adopts the adaptive value of time (VOT) to incorporate three kinds of route choice behavior: cognitive limitations and capability constraints, satisficing behavior and inertial behavior, and variation in VOTs, which is further compared with existing UE models. The connection between the SDUE model and existing UE models is analyzed. It is theoretically proved that equilibrium solutions from previous UE models can all be included in the SDUE solution set by letting VOTs vary among users and across scenarios. Moreover, a reduced SDUE model is formulated to help calculate possible SDUE flow patterns mathematically. Numerical examples are given to illustrate that the proposed SDUE model could include the non-convex solution set and various route choice behavior by adjusting the adaptive VOT-related parameters, which is beyond the existing UE models. The non-uniqueness of the SDUE solutions and model applications are discussed.