为了描述拥挤交通流中车辆排队的演化规律,以基于二流理论建立的当量排队长度模型为依据,运用微积分方法,针对单车道路段和多车道路段分别推导出当量排队长度变化率模型,并利用VISSIM模拟数据对模型进行了验证。结果表明:当交通流处于拥挤状态时,当量排队长度变化率近似等于交通波波速;采样间隔内当量排队长度变化率与实际排队长度变化率接近,误差法和熵方法证明,采样间隔越大,两者越接近,因此,提出的模型可以定量描述拥挤交通流中车辆排队的演化速率。
In order to describe the evolution rules of vehicle queue in congested traffic flow, the equivalent queue length change rate models for single-lane and multi-lane links were educed by calculous method on the basis of equivalent queue length models from two-fluid theory. These models were validated by the simulated data from VISSIM. Analysis result indicates that the equivalent queue length change rate is approximately equal to traffic wave velocity when traffic flow is at congested state. The equivalent and actual queue length change rates approach in sampling interval. Error method and entropy method are used to prove that they more approach when sampling interval is longer. So these models can quantitatively describe the evolution speed of vehicle queue in congested traffic flow. 6 tabs, 11 refs.