已知路段输入流u(t)条件下,利用动态交通分配模型中广泛使用的路段行程时间与路段车流量具有线性关系即τ(t)=α+βx(t)的模型,给出了路段输出流v(t)的一般表达式和路段行程时间的递归表达式.在路段车流满足先进先出(FIFO)的条件下,结合任意时刻t的车流量表达式和线性路段行程时间模型得出了输出流v(t)与输入流u(t)的关系式.并由此得出了时刻的路段车流量表达式,从而给出了关于路段行程时间更明确的结果.根据文章的结论,对文献[2]中的实例进行了数值仿真,验证了其结果;同时运用道路交通流调查所得到的数据,进行了数值仿真,所得结果与实际相符.
The paper presents generic expression of outflows v (t) and a recursive expression of link travel time based on given inflows u (t) and linear link travel time r (t) = α + βx (t) . Under the condition of traffic flow satisfying the rule of first in and first out (FIFO), combined with the expression of traffic flow at t time and the linear link travel time model, the relationship between the outflows v (t) and the inflows u (t) is derived. And a traffic flow expression is also obtained. Therefore, a kind of more clear solution of linear link travel time is produced. Using some examples in Carey' s paper [ 2 ], we successfully replicate the results according to the conclusion in the paper.Meanwhile, by useng the data from traffic flow survey, the numerical simulation reproduced the real traffic flow status.