A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/9929015 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850175273512730624 |
|---|---|
| author | Dongmei Yan Yang Yang |
| author_facet | Dongmei Yan Yang Yang |
| author_sort | Dongmei Yan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce74fbd58eeb4fdbaa0e4ea08c69f824 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ce74fbd58eeb4fdbaa0e4ea08c69f8242025-08-20T02:19:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/99290159929015A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested LogitDongmei Yan0Yang Yang1Intelligent Transportation System Research Center, Southeast University, Nanjing 211189, ChinaSchool of Traffic and Logistics Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaThe 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.http://dx.doi.org/10.1155/2021/9929015 |
| spellingShingle | Dongmei Yan Yang Yang A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit Discrete Dynamics in Nature and Society |
| title | A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit |
| title_full | A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit |
| title_fullStr | A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit |
| title_full_unstemmed | A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit |
| title_short | A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit |
| title_sort | stochastic user equilibrium formulation for the cumulative prospect theory based cross nested logit |
| url | http://dx.doi.org/10.1155/2021/9929015 |
| work_keys_str_mv | AT dongmeiyan astochasticuserequilibriumformulationforthecumulativeprospecttheorybasedcrossnestedlogit AT yangyang astochasticuserequilibriumformulationforthecumulativeprospecttheorybasedcrossnestedlogit AT dongmeiyan stochasticuserequilibriumformulationforthecumulativeprospecttheorybasedcrossnestedlogit AT yangyang stochasticuserequilibriumformulationforthecumulativeprospecttheorybasedcrossnestedlogit |