Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation
A new macroscopic traffic flow lattice model is established which considered the taillight effect and velocity deviation. By combining the concept of critical density, the critical condition of taillight triggering is established. The situation of taillight appearing is fully considered, and the inf...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Advanced Transportation |
| Online Access: | http://dx.doi.org/10.1155/2022/1716827 |
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| _version_ | 1832563513370869760 |
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| author | Zhicheng Li Changxi Ma |
| author_facet | Zhicheng Li Changxi Ma |
| author_sort | Zhicheng Li |
| collection | DOAJ |
| description | A new macroscopic traffic flow lattice model is established which considered the taillight effect and velocity deviation. By combining the concept of critical density, the critical condition of taillight triggering is established. The situation of taillight appearing is fully considered, and the influence of taillight effect is analyzed. Through the stability analysis of the model, the stability conditions of the model are obtained. By nonlinear analysis, the mKdV equation is derived which can describe the evolution mechanism of the density wave. From the phase diagram, we can find that the two factors have a positive impact on the stability of traffic flow. Finally, spatiotemporal evolution of the density wave and cross-section view of the density wave are obtained by numerical simulation to verify the theoretical derivation of this paper. The simulation results show that the stability of traffic flow can be improved by considering taillight effect and speed deviation. In addition, by comparing the time-space evolution maps of different parameter values, it can be found that the stability of traffic flow considering the taillight effect and speed deviation is better than that considering one factor alone. However, the stability of traffic flow will be negatively affected by low speed estimate and high critical density. |
| format | Article |
| id | doaj-art-a483baca7bdd4097ba1140a1e4ac253f |
| institution | Kabale University |
| issn | 2042-3195 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Advanced Transportation |
| spelling | doaj-art-a483baca7bdd4097ba1140a1e4ac253f2025-02-03T01:20:07ZengWileyJournal of Advanced Transportation2042-31952022-01-01202210.1155/2022/1716827Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed DeviationZhicheng Li0Changxi Ma1Department of Urban Rail Transit and Information EngineeringSchool of Traffic and TransportationA new macroscopic traffic flow lattice model is established which considered the taillight effect and velocity deviation. By combining the concept of critical density, the critical condition of taillight triggering is established. The situation of taillight appearing is fully considered, and the influence of taillight effect is analyzed. Through the stability analysis of the model, the stability conditions of the model are obtained. By nonlinear analysis, the mKdV equation is derived which can describe the evolution mechanism of the density wave. From the phase diagram, we can find that the two factors have a positive impact on the stability of traffic flow. Finally, spatiotemporal evolution of the density wave and cross-section view of the density wave are obtained by numerical simulation to verify the theoretical derivation of this paper. The simulation results show that the stability of traffic flow can be improved by considering taillight effect and speed deviation. In addition, by comparing the time-space evolution maps of different parameter values, it can be found that the stability of traffic flow considering the taillight effect and speed deviation is better than that considering one factor alone. However, the stability of traffic flow will be negatively affected by low speed estimate and high critical density.http://dx.doi.org/10.1155/2022/1716827 |
| spellingShingle | Zhicheng Li Changxi Ma Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation Journal of Advanced Transportation |
| title | Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation |
| title_full | Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation |
| title_fullStr | Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation |
| title_full_unstemmed | Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation |
| title_short | Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation |
| title_sort | stability analysis of the new traffic flow lattice model considering taillight effect and speed deviation |
| url | http://dx.doi.org/10.1155/2022/1716827 |
| work_keys_str_mv | AT zhichengli stabilityanalysisofthenewtrafficflowlatticemodelconsideringtaillighteffectandspeeddeviation AT changxima stabilityanalysisofthenewtrafficflowlatticemodelconsideringtaillighteffectandspeeddeviation |