Boundary conditions for first order macroscopic models of vehicular traffic in the presence of tollgates

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摘要

This paper presents a new approach to the modeling of boundary conditions for first order models of vehicular traffic in highways. The first step consists in deriving a model for the dynamics of the flow of vehicles. Simulations of the parameters lead to a detailed analysis of the qualitative properties of the model. Subsequently, for such model, the statement of initial-boundary value problems is deduced, with domain decomposition, for a tract of highway between tollgates.

论文关键词:Traffic flow,Macro-models,Nonlinearity,Flow dynamics

论文评审过程:Available online 13 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.038