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A Density-Dependent NaSch Model for Traffic Flow Controlled by a Traffic Light

In: Traffic and Granular Flow ’07

Author

Listed:
  • Hui-bing Zhu

    (Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics
    Ningbo University, Faculty of Architectural, Civil Engineering and Environment)

  • Hong-xia Ge

    (Ningbo University, Faculty of science)

  • Shi-qiang Dai

    (Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics)

Abstract

Summary The traffic flow controlled by a traffic light on a single-lane roadway is studied by using a modified NaSch model proposed by the authors, in which the randomization is dependent on the local density of the preceding time step. The flow-density diagrams are obtained and three different traffic density regions, i.e., undersaturated traffic, saturated traffic and oversaturated traffic, are observed. While in the small cycle time four traffic density regions appear. Further it is found that mean traffic flow and mean velocity strongly depend on the cycle time of traffic lights. An application of the signal model on optimizing traffic lights in order to enhance the global throughput is studied. All the results indicate that the presented model is reasonable and has realistic meaning.

Suggested Citation

  • Hui-bing Zhu & Hong-xia Ge & Shi-qiang Dai, 2009. "A Density-Dependent NaSch Model for Traffic Flow Controlled by a Traffic Light," Springer Books, in: Cécile Appert-Rolland & François Chevoir & Philippe Gondret & Sylvain Lassarre & Jean-Patrick Lebacq (ed.), Traffic and Granular Flow ’07, pages 447-452, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-77074-9_50
    DOI: 10.1007/978-3-540-77074-9_50
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