Vehicular traffic through a self-similar sequence of traffic lights

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 381-387

Abstract: We study the dynamical behavior of vehicular traffic through a sequence of traffic lights positioned self-similarly on a highway, where all traffic lights turn on and off simultaneously with cycle time Ts. The signals are positioned self-similarly by Cantor set. The nonlinear-map model of vehicular traffic controlled by self-similar signals is presented. The vehicle exhibits the complex behavior with varying cycle time. The tour time is much lower such that signals are positioned periodically with the same interval. The arrival time T(x) at position x scales as (T(x)-x)∝xdf, where df is the fractal dimension of Cantor set. The landscape in the plot of T(x)−x against cycle time Ts shows a self-affine fractal with roughness exponent α=1−df.

Keywords: Traffic dynamics; Fractal; Signal control; Nonlinear map; Scaling; Complex system (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:381-387

DOI: 10.1016/j.physa.2007.07.042

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