Nonlinear-map model for split effect on vehicular traffic through periodic signals

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2007, vol. 374, issue 1, 431-440

Abstract: 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 sp is lower than 0.5, vehicular traffic shows a similar behavior as that of sp=0.5, while vehicular traffic of sp>0.5 is definitely different from that of sp⩽0.5. The algebraic expression among the tour time, cycle time, and split is derived.

Keywords: Traffic dynamics; Signal control; Nonlinear map; Self-similarity; Complex system (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:374:y:2007:i:1:p:431-440

DOI: 10.1016/j.physa.2006.07.016

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