Modeling User Equilibrium and the Day-to-day Traffic Evolution based on Cumulative Prospect Theory

2013 ◽  
Vol 2 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Bo Zhang ◽  
Zhicai Juan
Keyword(s):  
Prospect Theory ◽  
User Equilibrium ◽  
Cumulative Prospect Theory

scholarly journals A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Dongmei Yan ◽  
Yang Yang
Keyword(s):  
Prospect Theory ◽  
User Equilibrium ◽  
Cumulative Prospect Theory ◽  
Model Parameters ◽  
Nested Logit ◽  
Stochastic User Equilibrium ◽  
Weighted Averages ◽  
Route Choice Behavior ◽  
Method Of Successive Averages ◽  
The Impact

The cumulative prospect theory provides a better description for route choice behavior of the travelers in an uncertain road network environment. In this study, we proposed a multiclass cumulative prospect value- (CPV-) based cross-nested logit (CNL) stochastic user equilibrium (SUE) model. For this model, an equivalent variational inequality (VI) model is provided, and the existence and equivalence of the model solutions are also proved. The method of successive averages (MSA), method of successive weighted averages (MSWA), and self-regulated averaging (SRA) method are designed and compared. In addition, the proposed multiclass CPV-based CNL SUE model is also compared with the multiclass utility value- (UV-) based CNL SUE model. The results show that the path flow assigned by the multiclass CPV-based CNL SUE model is more consistent with the actual situation. The impact of different model parameters on the cumulative prospect value (CPV) is investigated.

scholarly journals A Multiclass Cumulative Prospect Theory-Based Stochastic User Equilibrium Model with Path Constraints in Degradable Transport Networks

2021 ◽  
Vol 33 (5) ◽  
pp. 775-787
Author(s):  
Dongmei Yan ◽  
Jianhua Guo
Keyword(s):  
Prospect Theory ◽  
Expected Utility Theory ◽  
User Equilibrium ◽  
Cumulative Prospect Theory ◽  
Stochastic User Equilibrium ◽  
Multiple User ◽  
Range Anxiety ◽  
Method Of Successive Averages ◽  
Stochastic Travel Times ◽  
Distance Limit

The limited driving range and the unavailability or insufficiency of battery charging/swapping stations cause the so-called range anxiety issue for traffic assignment involving battery electric vehicle (BEV) users. In addition, expected utility theory-based stochastic user equilibrium (EUT-SUE) model generates the perfectly rational issue when the travellers make route choice decisions. To tackle these two problems, this article improves the cumulative prospect theory-based stochastic user equilibrium (CPT-SUE) model in a degradable transport network through incorporating the constraints of multiple user classes and distance limit. In this degradable network, the travellers experience stochastic travel times due to network link capacity degradations. For this improved CPT-SUE model, the equivalent variational inequality (VI) model and associated method of successive averages (MSA) based solution are provided. The improved CPT-SUE model is tested and compared with the EUT-SUE model with distance limit, with results showing that the improved CPT-SUE model can handle jointly the range anxiety issue and the perfectly rational issue.

Sign in / Sign up

Export Citation Format

Share Document