Travelling wave solutions of the homogeneous one-dimensional FREFLO model
Source abstract
Abstract
Presently there is quite few analytical studies in traffic flows due to the non-linearity of the governing equations. In the present paper we introduce travelling wave solutions for the homogeneous one-dimensional FREFLO model, which are expressed in the form of series and describe the procedure that vehicles/pedestrians move with a negative velocity and decelerate until rest, then accelerate inversely to positive velocities. This method is expect to be extended to more complex situations in the future.
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Research context
OpenAlex topics: Evacuation and Crowd Dynamics · Traffic control and management · Transportation Planning and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mathematics and Systems Science, Beihang University 1 , Beijing 100191, China
LIMB of the Ministry of Education 2 , Beijing 100191, China
ESSEC Asia-Pacific 3 , Singapore 139408, Singapore
Civil Engineering School, Beijing Jiao Tong University 4 , Beijing 100044, China
Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University 5 , Beijing 100191, China
Funding
National Science Fundation in China
References (17)
Show source-provided references
1. A review of the methodologies used in the computer simulation of evacuation from the built environment10.1016/s0360-1323(98)00057-2 ↗
2. The flow of large crowds of pedestrians10.1016/s0378-4754(00)00228-7 ↗
3. A continuum theory for the flow of pedestrians10.1016/s0191-2615(01)00015-7 ↗
4. The flow of human crowds10.1146/annurev.fluid.35.101101.161136 ↗
5. Social force model for pedestrian dynamics10.1103/physreve.51.4282 ↗
6. Agent-based evacuation model of large public buildings under fire conditions10.1016/j.autcon.2008.09.009 ↗
7. ESM: A building evacuation simulation model10.1016/j.buildenv.2004.08.029 ↗
8. Phased evacuation: An optimisation model which takes into account the capacity drop phenomenon in pedestrian flows10.1016/j.firesaf.2008.11.002 ↗
9. Advances of some recent mechanical models on emergency evacuation10.15377/2409-9848.2014.01.01.4 ↗
10. On kinematic waves. II. A theory of traffic flow on long crowded roads10.1098/rspa.1955.0089 ↗
11. Pedestrian flow simulation model based on potential grid and its application to lane formation phenomenon (in Chinese)
12. FREFLO: A macroscopic simulation model for freeway traffic
13. Study on the compressible flow model for pedestrian crowds
14. 1956
15. 2004
16. Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method10.1088/0305-4470/19/5/016 ↗
17. 2007