【摘要】 采用积分方法建立交通流基本方程的物理意义更为明确.参照流体力学,提出研究交通流的欧拉方法、交通流系统和控制域的概念.交通流中的系统是一组车辆的集合.交通流中的控制域是车道中某一个确定的区域.推导出交通流系统所具有的物理量对时间的全导数的积分公式,即系统内物理量对时间的全导数等于控制域内该物理量对时间的偏导数与单位时间经过控制线的该物理量的通量之和.应用全导数的积分公式建立了积分形式的交通流连续性方程.更多还原

【Abstract】 The physical meaning is clear and definite when integral calculus method is adopted to establish the basic equations of traffic flow.According to the fluid mechanics,Euler’s method,and the concepts of traffic flow system and control field are proposed.The traffic flow system is a vehicles’ gather.The control field is a certain district in the lanes.The integral calculus formula is deduced,in which the first derivative of physical measures of system with respect to time equals the partial derivative of physical measures of control field to time plus clear flux of physical measures passing the control line within unit time.Applying the formula,traffic continuity equation in integral calculus form is obtained.更多还原