Some Properties about a Traffic System With Branches A Self-Organized System
Date Issued
2006
Date
2006
Author(s)
Lin, Yen-Ting
DOI
en-US
Abstract
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.
Subjects
交通系統
變分原理
延遲微分方程式
穩定性
Traffic system
variational principles
delay equations
delay differential equations
retarded functional differential equations
stability
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-95-R93222009-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):f9447703301af9966f919d96eadb051d