A Self-consistent Dynamic Traffic Flow Model
Part I: Modeling And Analysis
Author(s)
H.-J. Cho & S.-C. Lo
Abstract
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 fur
Keywords
Related Book
Other papers in this volume
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