双车道交通流随机动力学模型与数值模拟

The random dynamics models for two-lane traffic flow and numerical simulation

在Payne提出交通流动力学模型的基础上,将车辆受前车加速的刺激而取得的加速过程分为两种类型:①通过优化加速;②相对加速.通过对双车道车辆运行加速过程的分析,提出将优化加速分为跟驰优化和通过变道或者受变道影响而优化两种情形,从而建立双车道的双方程随机优化模型,并得到其理论解.既克服了倒退现象又描述了车辆变道的情况.用实际测量数据对优化模型进行数值拟合.分析结果表明,经由实测数据标定得到的优化模型拟合效果较好.

Based on the traffic flow dynamic model of Payne, acceleration process of the vehicle from the previous vehicle to be stimulated is divided into two types. One is the optimium acceleration and another is the relative acceleration. By the analysis of the process how the vehicles speed up in the two-lane traffic,the process in which the vehicle accelerates the speed by the stimulation of the previous one＇s acceleration can be divided into two types： the first is the following optimization, the second is by the change or the effect of the change to be optimized. Then, a double driveway is established based on both sides of the random process stability model, and the theoretical solution can be described. So, it overcome the setback phenomenon can be overcome, the situation of vehicle lane change. Finally,by the numerical fitting between experimental data and numerical data, it can be proved that the random process stability model is effective.