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为了分析交通流在同步流、拥挤流、自由流状态下的分形特征,通过关联维刻画交通流的复杂性,通过Hurst指数研究交通流的长程相关性,通过记忆长度确定交通流的影响范围。对实测数据的计算结果表明,3种交通流都是分形的,且存在长程相关性,同步流的关联维小于拥挤流,拥挤流的关联维小于自由流,同步流和拥挤流的Hurst指数大于自由流,同步流的记忆长度大于拥挤流,拥挤流的记忆长度大于自由流,说明不同状态的交通流具有不同的分形特征。
In order to analyze the fractal characteristics of traffic flow under synchronous flow, crowded flow and free flow condition, the complexity of traffic flow is characterized by correlation dimension. The Hurst index is used to study the long-range correlation of traffic flow and the influence range of traffic flow is determined by memory length. The calculation results of the measured data show that the three kinds of traffic flow are fractal and have long-range correlation. The correlation dimension of synchronous flow is smaller than that of congested flow. The correlation dimension of congested flow is smaller than that of free flow. The Hurst exponent of synchronous flow and crowded flow is greater than The memory length of free stream and synchronous stream is larger than that of crowded stream, and the memory flow of crowded stream is larger than that of free stream, which shows that the traffic flow of different states has different fractal characteristics.