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

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  • Nagatani, Takashi

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.

Suggested Citation

  • Nagatani, Takashi, 2007. "Nonlinear-map model for split effect on vehicular traffic through periodic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 431-440.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:431-440
    DOI: 10.1016/j.physa.2006.07.016
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    Cited by:

    1. Pastén, D. & Muñoz, V. & Toledo, B. & Villalobos, J. & Zarama, R. & Rogan, J. & Valdivia, J.A., 2012. "Universal behavior in a model of city traffic with unequal green/red times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5230-5243.

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