Navigation System-Based Routing Strategies in Traffic Flows on Networks
本文提出一个宏观微分模型，将守恒律与Hamilton-Jacobi方程耦合，分别描述非线性交通过程和用户的策略选择，并扩展到多群体情形，每个群体对系统交通信息的掌握程度不同。
Abstract Navigation choices play an important role in modeling and forecasting traffic flows on road networks. We introduce a macroscopic differential model coupling a conservation law with a Hamilton–Jacobi equation to, respectively, model the nonlinear transportation process and the strategic choices of users. Furthermore, the model is adapted to the multi-population case, where every population differs in the level of traffic information about the system.