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

Hui-bing Zhu (), Hong-xia Ge () and Shi-qiang Dai ()
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Hui-bing Zhu: Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics
Hong-xia Ge: Ningbo University, Faculty of science
Shi-qiang Dai: Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics

A chapter in Traffic and Granular Flow ’07, 2009, pp 447-452 from Springer

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.

Date: 2009
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DOI: 10.1007/978-3-540-77074-9_50

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