MCLWR交通流模型的双曲性和Riemann不变量

Hyperbolicity and Riemann Invariants of a Multi-class Traffic Flow LWR Model

摘要: 基于一阶双曲守恒的相关理论研究了多等级交通流LWR模型,给出了该模型不同情形的双曲性的数学证明,研究并计算了Riemann不变量,给出了其物理意义的解释;最后又从形式上指出了在多等级车流并行时MCLWR与LWR两种交通流模型实际上是等价的.

Abstract: A multi-class traffic flow LWR model is studied based on the theory of one-order hyperbolic conservation laws and a mathematic proof of the hypertonicity for this model is given.Furthermore,the Riemann invariants for the multi-class traffic flow LWR model are also studied.Last,the coherence between MCLWR model and LWR model is pointed out.