Multiclass first-order traffic model using stochastic fundamental diagrams

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76 Citations (Scopus)


The first-order continuum traffic model has been extensively studied in the stateof- the-art of traffic flow theory due to its simplicity and capability to represent many real traffic problems, such as a shock-wave formation. Furthermore, recent extension of the first-order model to multiclass traffic dynamics has revealed some interesting non-linear traffic phenomena such as hysteresis and capacity drop. However, most of the existing first-order continuum models do not display the widely scattered flow-density relationship. We argue in this article that the widely scattered flow-density relationship might be caused by the random variations in driving behaviour. It is shown that both of the hysteresis transitions and the wide scattering can be reproduced by a multiclass first-order model with a stochastic setting in the model parameters. The simulation results support our findings and are in good agreement with the real data.

Original languageEnglish
Pages (from-to)111-125
Number of pages15
Issue number2
Publication statusPublished - Mar 2011
Externally publishedYes


  • Stochastic multiclass model
  • Traffic flow
  • Wide scattering

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