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车辆跟驰问题的建模及其求解
引用本文:许伦辉,徐建闽.车辆跟驰问题的建模及其求解[J].华南理工大学学报(自然科学版),1998,26(9):38-43.
作者姓名:许伦辉  徐建闽
作者单位:华南理工大学自动控制工程系
摘    要:针对普遍存在的车辆跟驰问题,根据交通动力学中的跟驰理论,将理论方法与实践经验相结合,提出了滞后时间与跟驰状态有关的非线性跟驰模型.从工程实用性出发,给出了模型的近似解析解和基于跟驰平衡状态下车速与车距关系的迭代数值解.仿真结果表明,利用该模型和算法能获得现实结果.

关 键 词:车辆跟驰  滞后微分方程  算法

CAR-FOLLOWING MODEL AND ITS SOLUTION
Xu Lunhui,Xu Jianmin,Zhou Qijie.CAR-FOLLOWING MODEL AND ITS SOLUTION[J].Journal of South China University of Technology(Natural Science Edition),1998,26(9):38-43.
Authors:Xu Lunhui  Xu Jianmin  Zhou Qijie
Abstract:In view of the car_following problem existing generally, and according to the car_following theory of traffic dynamics, a nonlinear car_following model in which the relay time is related to the following state is proposed by the combination of theory and practice. And the model's approximate analytical solution and regressive numerical solution of speed versus distance in the equilibrium state are offered in view of engineering practice. The simulated test shows that the model and algorithm are efficient and feasible.
Keywords:car_following  delay differential equation  algorithm  
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