A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss
A variational inequality (VI) formulation of a mixed traffic assignment problem associated with user equilibrium (UE) player and altruistic players (UE-AP) is developed. The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic players...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/290972 |
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| _version_ | 1832554809080676352 |
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| author | Xiao-Jun Yu Jiancheng Long |
| author_facet | Xiao-Jun Yu Jiancheng Long |
| author_sort | Xiao-Jun Yu |
| collection | DOAJ |
| description | A variational inequality (VI) formulation of a mixed traffic assignment problem associated with user equilibrium (UE) player and altruistic players (UE-AP) is developed. The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic players use the paths with minimum perceived travel cost, which is a linear combination of the actual and marginal travel costs. A nonlinear programming method is adopted to derive the efficiency loss of the UE-AP mixed equilibrium with polynomial cost function. Finally, numerical examples are given to verify our analytical results. |
| format | Article |
| id | doaj-art-959c968f08fe4bfdbfb0f14212daea44 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-959c968f08fe4bfdbfb0f14212daea442025-02-03T05:50:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/290972290972A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency LossXiao-Jun Yu0Jiancheng Long1School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaSchool of Transportation Engineering, Hefei University of Technology, Hefei 230009, ChinaA variational inequality (VI) formulation of a mixed traffic assignment problem associated with user equilibrium (UE) player and altruistic players (UE-AP) is developed. The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic players use the paths with minimum perceived travel cost, which is a linear combination of the actual and marginal travel costs. A nonlinear programming method is adopted to derive the efficiency loss of the UE-AP mixed equilibrium with polynomial cost function. Finally, numerical examples are given to verify our analytical results.http://dx.doi.org/10.1155/2014/290972 |
| spellingShingle | Xiao-Jun Yu Jiancheng Long A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss Journal of Applied Mathematics |
| title | A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss |
| title_full | A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss |
| title_fullStr | A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss |
| title_full_unstemmed | A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss |
| title_short | A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss |
| title_sort | mixed traffic assignment problem and its upper bound of efficiency loss |
| url | http://dx.doi.org/10.1155/2014/290972 |
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