The Method of Successive Averages and Method of Successive Weighted Averages for Logit-Based Stochastic User Equilibrium Assignment

CICTP 2017 ◽  
2018 ◽  
Author(s):  
Manyuan Zhang ◽  
Lin Cheng
Keyword(s):  
User Equilibrium ◽  
Stochastic User Equilibrium ◽  
Weighted Averages ◽  
Equilibrium Assignment ◽  
Method Of Successive Averages

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.

Bounding the inefficiency of the C-logit stochastic user equilibrium assignment

2016 ◽  
Vol 29 (6) ◽  
pp. 1629-1649 ◽  
Author(s):  
Gui Yong ◽  
Haijun Huang ◽  
Tianliang Liu ◽  
Yan Xu
Keyword(s):  
User Equilibrium ◽  
Stochastic User Equilibrium ◽  
Equilibrium Assignment
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