Traffic flow theory can provide real time prediction and evaluation of traffic management strategies. Lightwill, Whitham and Richards applied a fluid mechanism to traffic flow and proposed a dynamic model (LWR model) in 1955 first. However, the LWR model needs to couple with a specific speed-density relation to be solved. Sometimes the assumption of such a relationship is not consistent with the whole model. In this study, we develop a dynamic traffic flow model based on the continuity equation (LWR model) and second-order model. The assumptions of the system equations are consistent with each other. Therefore, a self-consistent system is proposed herein. The existence and uniqueness of the solution is also illustrated in this work. Numerical simulations are left for further studies.
|Number of pages||10|
|Journal||Advances in Transport|
|State||Published - 1 Dec 2001|
|Event||Seventh International Conference on Urban Transport and the Environment for the 21st Century, URBAN TRANSPORT VII - Lemnos, Greece|
Duration: 14 May 2001 → 16 May 2001