【作者】 许超； 刘康生；

【Author】 B.Schure K.S.Liu (Department of Mathematics, ZheJiang University, HangZhou, 310027)

【机构】 浙江大学数学系；

【摘要】 本文考虑的一类常见的高速交通流控制问题,可以归结为一个一阶拟线性偏微分方程。本文用直线分段逼近流量——密度曲线将模型线性化,然后利用差分方法求解,并讨论了差分格式的稳定性问题,推导出格式相应的局部截断误差。给出了分岔入口的交通密度预报和入口车流的放行控制方法。仿真结果表明上述方法是有效的。更多还原

【Abstract】 A usual vehicle flux density control problem in the traffic system is considered in this paper, which can be described as a nonlinear hyperbolic PDE. A method using beeline segments to approach the flux-density curve can make the original model linear, then using difference method to obtain the calculation schemes, what’s more, not only stability but also error of the difference schemes are considered here. The simulation result proves not only the prediction but also compromise control effective更多还原