A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour
Based on the price-quantity adjustment behaviour principle of disequilibrium theory, the route choices of travellers are also affected by a quantity signal known as traffic flow, while the route cost is considered as a price signal in economics. Considering the quantity signal’s effect among travell...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Advanced Transportation |
| Online Access: | http://dx.doi.org/10.1155/2020/1720949 |
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| author | Xiangjun Jiang Zhongxiang Huang Zhenyu Zhao |
| author_facet | Xiangjun Jiang Zhongxiang Huang Zhenyu Zhao |
| author_sort | Xiangjun Jiang |
| collection | DOAJ |
| description | Based on the price-quantity adjustment behaviour principle of disequilibrium theory, the route choices of travellers are also affected by a quantity signal known as traffic flow, while the route cost is considered as a price signal in economics. Considering the quantity signal’s effect among travellers, a new route comfort choice behaviour criterion and its corresponding equilibrium condition are established. The network travellers are classified into three groups according to their route choice behaviour: travellers in the first group choose the shortest route following the route rapidity behaviour criterion with complete information forming the UE (user equilibrium) pattern, travellers in the second group choose the most comfortable route following the route comfort behaviour criterion with complete information forming the QUE (quantity adjustment user equilibrium) pattern, and travellers in the third group choose a route according to their perceived travel time with incomplete information forming the SUE (stochastic user equilibrium) pattern. The traffic flows of all three groups converge to a new UE-QUE-SUE mixed equilibrium flow pattern after interaction. To depict the traveller-diversified choice behaviour and the traffic flow interaction process, a mixed equilibrium traffic flow evolution model is formulated. After defining the route comfort indicator and the corresponding user equilibrium state, the equilibrium conditions of the three group flows are given under a mixed equilibrium pattern. In addition, an equivalent mathematical programming of the mixed equilibrium traffic flow evolution model is proposed to demonstrate that the developed model converges to the mixed equilibrium state. Finally, numerical examples are examined to evaluate the effect of route comfort proportions on the traffic network flow evolution and analyse the performance of the proposed model. |
| format | Article |
| id | doaj-art-e463d48a60614b5e90174e3436da8dd4 |
| institution | Kabale University |
| issn | 0197-6729 2042-3195 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Advanced Transportation |
| spelling | doaj-art-e463d48a60614b5e90174e3436da8dd42025-02-03T06:45:53ZengWileyJournal of Advanced Transportation0197-67292042-31952020-01-01202010.1155/2020/17209491720949A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice BehaviourXiangjun Jiang0Zhongxiang Huang1Zhenyu Zhao2School of Traffic & Transportation Engineering, Changsha University of Science & Technology, Changsha 410076, Hunan, ChinaSchool of Traffic & Transportation Engineering, Changsha University of Science & Technology, Changsha 410076, Hunan, ChinaSchool of Traffic & Transportation Engineering, Changsha University of Science & Technology, Changsha 410076, Hunan, ChinaBased on the price-quantity adjustment behaviour principle of disequilibrium theory, the route choices of travellers are also affected by a quantity signal known as traffic flow, while the route cost is considered as a price signal in economics. Considering the quantity signal’s effect among travellers, a new route comfort choice behaviour criterion and its corresponding equilibrium condition are established. The network travellers are classified into three groups according to their route choice behaviour: travellers in the first group choose the shortest route following the route rapidity behaviour criterion with complete information forming the UE (user equilibrium) pattern, travellers in the second group choose the most comfortable route following the route comfort behaviour criterion with complete information forming the QUE (quantity adjustment user equilibrium) pattern, and travellers in the third group choose a route according to their perceived travel time with incomplete information forming the SUE (stochastic user equilibrium) pattern. The traffic flows of all three groups converge to a new UE-QUE-SUE mixed equilibrium flow pattern after interaction. To depict the traveller-diversified choice behaviour and the traffic flow interaction process, a mixed equilibrium traffic flow evolution model is formulated. After defining the route comfort indicator and the corresponding user equilibrium state, the equilibrium conditions of the three group flows are given under a mixed equilibrium pattern. In addition, an equivalent mathematical programming of the mixed equilibrium traffic flow evolution model is proposed to demonstrate that the developed model converges to the mixed equilibrium state. Finally, numerical examples are examined to evaluate the effect of route comfort proportions on the traffic network flow evolution and analyse the performance of the proposed model.http://dx.doi.org/10.1155/2020/1720949 |
| spellingShingle | Xiangjun Jiang Zhongxiang Huang Zhenyu Zhao A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour Journal of Advanced Transportation |
| title | A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour |
| title_full | A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour |
| title_fullStr | A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour |
| title_full_unstemmed | A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour |
| title_short | A Traffic Flow Evolution Process toward Mixed Equilibrium with Multicriteria of Route Choice Behaviour |
| title_sort | traffic flow evolution process toward mixed equilibrium with multicriteria of route choice behaviour |
| url | http://dx.doi.org/10.1155/2020/1720949 |
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