交叉口交通流的数学建模与数值模拟

Mathematical Modeling and Numerical Simulation for Lntersection Traffic Flow

利用交通流的基本特征和数值分析的离散性,建立离散化城市道路交通流车辆生成模型、车辆跟驰模型、换车道模型等数学模型,研究城市道路交通流微观仿真数值计算方法,在分析算法的设计基础上,合理校正区域交通流模拟参数,采用离散网格法在linux平台上用C++编写城市交通流微观仿真程序,建立交通流数值计算仿真平台,并通过对计算结果和实际交通调查数据分析验证。研究结果表明:当以含有4个交叉口的某城市区域路网交通流实测车辆产生数据作为初始条件进行交通流数值仿真时,从入口和出口断面交通量两个方面对仿真结果和实测数据进行比较分析,结果表明交通量基本一致,并且当计算结果趋于稳定时,各路段交通量在某一常数附近波动,路网区域内的车辆数则在信号灯的控制下呈周期性波动。

Using the basic characteristics af the traffic flow and discrete of numerical analysis ,estab- lish discretization urban road traffic flow mathematical model,such as vehicle formation model,car-following model,changing lanes model and so on,study of urban road traffic flow microscopic simulation numerical calculation method,based on the design of the analysis algorithm,reasonable correction regional traffic sim- ulation parameters ,using discrete grid method with C＋＋ coding the urban traffic flow microscopic simula- tion program in Linux,build traffic flow numerical simulation platform,and through the calculation results and actual traffic survey data analysis and testing.The results show that：when to contain four intersection area of a city road network traffic flow af vehicles measured data as the initial conditions produce traffic flow numerical simulation,analysis from entry and exit section traffic of the simulation results and the measured data,the results show that the traffic almost the same ,and when the calculation results tend to be stable ,the road traffic fluctuate around a constant,and under the control af the signal light vehicle number in the net- work area fluctuate in a cyclical.