Continuum modeling of cooperative traffic flow dynamics

D. Ngoduy, S. P. Hoogendoorn, R. Liu

Research output: Contribution to journalArticleResearchpeer-review

50 Citations (Scopus)


This paper presents a continuum approach to model the dynamics of cooperative traffic flow. The cooperation is defined in our model in a way that the equipped vehicle can issue and receive a warning massage when there is downstream congestion. Upon receiving the warning massage, the (up-stream) equipped vehicle will adapt the current desired speed to the speed at the congested area in order to avoid sharp deceleration when approaching the congestion. To model the dynamics of such cooperative systems, a multi-class gas-kinetic theory is extended to capture the adaptation of the desired speed of the equipped vehicle to the speed at the downstream congested traffic. Numerical simulations are carried out to show the influence of the penetration rate of the equipped vehicles on traffic flow stability and capacity in a freeway.

Original languageEnglish
Pages (from-to)2705-2716
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Issue number13
Publication statusPublished - 1 Jul 2009
Externally publishedYes


  • Cooperative traffic flow
  • Jam avoidance
  • Multiclass gas-kinetic theory
  • Traffic flow stability

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