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分析了周期边界条件下元胞自动机交通流NS模型中车辆最大速度v_(max)和随机慢化概率p这两个重要参数对流量-密度相图的作用机制.结果表明:参数v_(max)和p决定系统相图,低密度区域的流量-密度相态主要与参数v_(max)相关联,高密度区域相态主要与参数p相关联,中间密度区域相态受二者联合作用.在上述相图特性基础上,推导出流量-密度的参数关联抽象函数,利用数值分析的方法拟合出函数的具体表达式.最后以流量峰值为例,分析了v_(max)和p对系统流量峰值的联合约束关系以及参数间的关联约束关系,为NS模型中参数的合理选取提供重要依据.
The mechanism of flow-density phase diagram of two important parameters of vehicle maximum speed v_ (max) and random slowdown probability p in the traffic auto-flow NS model with periodic boundary conditions is analyzed. The results show that the parameter v_max ) And p determine the phase diagram of the system. The flow-density phase of low-density region is mainly related to the parameter v max, the phase of high-density region is mainly associated with parameter p, and the intermediate-density region is affected by the combination of the two. Based on the characteristics of the above phase diagram, the parameter-dependent abstraction function of flow-density is deduced, and the concrete expression of the function is fitted by using the numerical analysis method.Finally, taking the flow peak as an example, the influence of v_max and p on the system The joint constraint of peak flow rate and the relationship between the constraints of the parameters for the NS model to provide an important basis for the reasonable selection of parameters.