Some Properties about a Traffic System With BranchesA Self-Organized System

• Main Authors: Yen-Ting Lin, 林彥廷
• Other Authors: Yih-Yuh Chen
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/02106719625914908549

碩士 === 國立臺灣大學 === 物理研究所 === 94 === This work was based on the so-called optimal velocity car-following model proposed by Bando et al. One more route in some region was added for the spatially periodic traffic system. Cars adopt several strategies to enter and leave the branching region. Numerical simulations were done to verify the evolution of the system. The system seems to have a robust stable solution: Within certain range, it appears to have a fixed flux, irrespective of the car number, the initial condtions and the geometry (length of the main and the branch). We tried to analyze such phenomenum and verify the essentiality of introducing delay di¤erential equations. An approximate variational principle with a delay argument is constructed and used to interpret the…fixed-flux phenomenon. The meaning of the approximate scheme is also discussed.