Boundedly Rational User Equilibrium with Restricted Unused Routes
A boundedly rational user equilibrium model with restricted unused routes (R-BRUE) considering the restrictions of both used route cost and unused route cost is proposed. The proposed model hypothesizes that for each OD pair no traveler can reduce his/her travel time by an indifference band by unila...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/9848916 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850171232456015872 |
|---|---|
| author | Chao Sun Menghui Li Lin Cheng Senlai Zhu Zhaoming Chu |
| author_facet | Chao Sun Menghui Li Lin Cheng Senlai Zhu Zhaoming Chu |
| author_sort | Chao Sun |
| collection | DOAJ |
| description | A boundedly rational user equilibrium model with restricted unused routes (R-BRUE) considering the restrictions of both used route cost and unused route cost is proposed. The proposed model hypothesizes that for each OD pair no traveler can reduce his/her travel time by an indifference band by unilaterally changing route. Meanwhile, no route is unutilized if its travel time is lower than sum of indifference band and the shortest route cost. The largest and smallest used route sets are defined using mathematical expression. We also show that, with the increase of the indifference band, the largest and smallest used route sets will be augmented, and the critical values of indifference band to augment these two path sets are identified by solving the mathematical programs with equilibrium constraints. Based on the largest and smallest used route sets, the R-BRUE route set without paradoxical route is generated. The R-BRUE solution set can then be obtained by assigning all traffic demands to the corresponding generated route set. Various numerical examples are also provided to illustrate the essential ideas of the proposed model and structure of R-BRUE route flow solution set. |
| format | Article |
| id | doaj-art-9cc419a72cd54f5db112b678fc8c163e |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9cc419a72cd54f5db112b678fc8c163e2025-08-20T02:20:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/98489169848916Boundedly Rational User Equilibrium with Restricted Unused RoutesChao Sun0Menghui Li1Lin Cheng2Senlai Zhu3Zhaoming Chu4School of Transportation, Southeast University, Nanjing 210096, ChinaSchool of Highway, Chang’an University, Xi’an 710064, ChinaSchool of Transportation, Southeast University, Nanjing 210096, ChinaSchool of Transportation, Southeast University, Nanjing 210096, ChinaRoad Traffic Safety Research Center of the Ministry of Public Security, Beijing 100062, ChinaA boundedly rational user equilibrium model with restricted unused routes (R-BRUE) considering the restrictions of both used route cost and unused route cost is proposed. The proposed model hypothesizes that for each OD pair no traveler can reduce his/her travel time by an indifference band by unilaterally changing route. Meanwhile, no route is unutilized if its travel time is lower than sum of indifference band and the shortest route cost. The largest and smallest used route sets are defined using mathematical expression. We also show that, with the increase of the indifference band, the largest and smallest used route sets will be augmented, and the critical values of indifference band to augment these two path sets are identified by solving the mathematical programs with equilibrium constraints. Based on the largest and smallest used route sets, the R-BRUE route set without paradoxical route is generated. The R-BRUE solution set can then be obtained by assigning all traffic demands to the corresponding generated route set. Various numerical examples are also provided to illustrate the essential ideas of the proposed model and structure of R-BRUE route flow solution set.http://dx.doi.org/10.1155/2016/9848916 |
| spellingShingle | Chao Sun Menghui Li Lin Cheng Senlai Zhu Zhaoming Chu Boundedly Rational User Equilibrium with Restricted Unused Routes Discrete Dynamics in Nature and Society |
| title | Boundedly Rational User Equilibrium with Restricted Unused Routes |
| title_full | Boundedly Rational User Equilibrium with Restricted Unused Routes |
| title_fullStr | Boundedly Rational User Equilibrium with Restricted Unused Routes |
| title_full_unstemmed | Boundedly Rational User Equilibrium with Restricted Unused Routes |
| title_short | Boundedly Rational User Equilibrium with Restricted Unused Routes |
| title_sort | boundedly rational user equilibrium with restricted unused routes |
| url | http://dx.doi.org/10.1155/2016/9848916 |
| work_keys_str_mv | AT chaosun boundedlyrationaluserequilibriumwithrestrictedunusedroutes AT menghuili boundedlyrationaluserequilibriumwithrestrictedunusedroutes AT lincheng boundedlyrationaluserequilibriumwithrestrictedunusedroutes AT senlaizhu boundedlyrationaluserequilibriumwithrestrictedunusedroutes AT zhaomingchu boundedlyrationaluserequilibriumwithrestrictedunusedroutes |