A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time
A two-dimensional lattice hydrodynamic model with bidirectional flow is proposed with consideration of the continuous cumulative effect of delayed-time. The stability condition is obtained by linear analysis. Nonlinear analysis derived the mKdV equation to depict density wave of pedestrian congestio...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8894059/ |
| _version_ | 1818448223061147648 |
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| author | Bing-Ling Cen Yu Xue Xue Wang Dong Chen Hong-Di He |
| author_facet | Bing-Ling Cen Yu Xue Xue Wang Dong Chen Hong-Di He |
| author_sort | Bing-Ling Cen |
| collection | DOAJ |
| description | A two-dimensional lattice hydrodynamic model with bidirectional flow is proposed with consideration of the continuous cumulative effect of delayed-time. The stability condition is obtained by linear analysis. Nonlinear analysis derived the mKdV equation to depict density wave of pedestrian congestion. The phase diagram shows the coexistence curve and the neutral stability curve. The neutral stability curve reveals the stable region and unstable region. The unstable region is shrunken with the increase of fraction c of east-bound and west-bound pedestrian from all pedestrians (c ≤ 0.5). Moreover, the increase of delay time can reduce the unstable region too. It indicates that the cumulative effect of delay time can effectively improve the stability of pedestrian traffic. In numerical simulation and analysis, we discuss the impacts of delay time and strength coefficient on pedestrian traffic. Results indicate that the cumulative effect of delayed-time and the increase of strength coefficient λ can improve the stability of pedestrian traffic under a certain conditions. |
| first_indexed | 2024-12-14T20:16:06Z |
| format | Article |
| id | doaj.art-a77b84a620564ea09a8d1227be8b021f |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T20:16:06Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-a77b84a620564ea09a8d1227be8b021f2022-12-21T22:48:50ZengIEEEIEEE Access2169-35362019-01-01716871016871910.1109/ACCESS.2019.29522158894059A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay TimeBing-Ling Cen0Yu Xue1https://orcid.org/0000-0002-4676-7448Xue Wang2Dong Chen3Hong-Di He4Institute of Physical Science and Technology, Guangxi University, Nanning, ChinaInstitute of Physical Science and Technology, Guangxi University, Nanning, ChinaInstitute of Physical Science and Technology, Guangxi University, Nanning, ChinaCollege of Management Science and Engineering, Guangxi University of Finance and Economics, Nanning, ChinaDepartment of International Shipping, College of Ship Construction, Shanghai Jiao Tong University (SJTU), Shanghai, ChinaA two-dimensional lattice hydrodynamic model with bidirectional flow is proposed with consideration of the continuous cumulative effect of delayed-time. The stability condition is obtained by linear analysis. Nonlinear analysis derived the mKdV equation to depict density wave of pedestrian congestion. The phase diagram shows the coexistence curve and the neutral stability curve. The neutral stability curve reveals the stable region and unstable region. The unstable region is shrunken with the increase of fraction c of east-bound and west-bound pedestrian from all pedestrians (c ≤ 0.5). Moreover, the increase of delay time can reduce the unstable region too. It indicates that the cumulative effect of delay time can effectively improve the stability of pedestrian traffic. In numerical simulation and analysis, we discuss the impacts of delay time and strength coefficient on pedestrian traffic. Results indicate that the cumulative effect of delayed-time and the increase of strength coefficient λ can improve the stability of pedestrian traffic under a certain conditions.https://ieeexplore.ieee.org/document/8894059/Pedestrian trafficlattice hydrodynamic modelstability analysisnonlinear analysis |
| spellingShingle | Bing-Ling Cen Yu Xue Xue Wang Dong Chen Hong-Di He A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time IEEE Access Pedestrian traffic lattice hydrodynamic model stability analysis nonlinear analysis |
| title | A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time |
| title_full | A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time |
| title_fullStr | A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time |
| title_full_unstemmed | A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time |
| title_short | A Lattice Hydrodynamic Model of Bidirectional Pedestrian Traffic Considering the Cumulative Effect of Delay Time |
| title_sort | lattice hydrodynamic model of bidirectional pedestrian traffic considering the cumulative effect of delay time |
| topic | Pedestrian traffic lattice hydrodynamic model stability analysis nonlinear analysis |
| url | https://ieeexplore.ieee.org/document/8894059/ |
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