Nonlinear-map model for split effect on vehicular traffic through periodic signals
✍ Scribed by Takashi Nagatani
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 309 KB
- Volume
- 374
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
✦ Synopsis
We study the effects of both split and cycle time on dynamical behavior of vehicles moving through a sequence of traffic lights on a highway, where the traffic lights turn on and off periodically. The dynamical model of vehicular traffic controlled by signals is expressed in terms of a nonlinear map. The vehicle exhibits complex behavior with varying split and cycle time. The tour time between signals shows a self-similar behavior. When split s p is lower than 0.5, vehicular traffic shows a similar behavior as that of s p ¼ 0.5, while vehicular traffic of s p 40.5 is definitely different from that of s p p0:5. The algebraic expression among the tour time, cycle time, and split is derived.