Density viscous continuum traffic flow model |
| |
| Institution: | 1. Faculty of Science, Ningbo University, Ningbo 315211, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;3. Faculty of Science, Huzhou Teachers College, Huzhou 313000, China;1. Faculty of Science, Ningbo University, Ningbo 315211, China;2. Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;3. College of Electronics and Information Engineering, Tongji University, Shanghai, 200092, China;4. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;1. Dynamic Systems and Simulation Laboratory, Technical University of Crete, 73100 Chania, Greece;1. Department of Electrical Engineering, University of Engineering and Technology, Peshawar, Pakistan;2. Department of Electrical and Computer Engineering, University of Victoria, PO Box 1700, STN CSC, Victoria, BC V8W 2Y2, Canada;3. Department of Civil, Architectural and Environmental Engineering, University of Naples, Federico II, Via Claudio 21 Naples, 80124, Italy;4. Department of Computer System Engineering, University of Engineering and Technology, Peshawar, Pakistan;5. Department of Computer Science and Software Engineering, University of Hail, Hail, Saudi Arabia;6. Department of Electrical Engineering, CECOS University, Peshawar, Pakistan |
| |
| Abstract: | A new traffic flow model called density viscous continuum model is developed to describe traffic more reasonably. The two delay time scales are taken into consideration, differing from the model proposed by Xue and Dai Phys. Rev. E 68 (2003) 066123]. Moreover the relative density is added to the motion equation from which the viscous term can be derived, so we obtain the macroscopic continuum model from microscopic car following model successfully. The condition for stable traffic flow is derived. Nonlinear analysis shows that the density fluctuation in traffic flow induces density waves. Near the onset of instability, a small disturbance could lead to solitons determined by the Korteweg-de-Vries (KdV) equation, and the soliton solution is derived. The results show that local cluster effects can be obtained from the new model and are consistent with the diverse nonlinear dynamical phenomena observed in the freeway traffic. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
