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Original Articles

A kinetic model for traffic flow with continuum implications

Pages 131-138 | Received 27 Jan 1978, Published online: 21 Mar 2007

References

  • Lighthill , M. H. and Shitham , G. B. 1955 . “On kinematic waves II, a theory of traffic flow on long crowded roads” . Proc. R. Soc. Load. , A229 : 317 – 345 .
  • Payne , H. J. 1971 . “Models of freeway traffic control,” . Mathematical Models of Public Systems , 1 : 51 – 61 . (Simulation Council Proc),
  • Prigogine , I. 1961 . “A Boltzmann‐like approach to the statistical theory of traffic Sow” . In Theory of Traffic Flow , Edited by: Herman , R. Amsterdam : Elsevier .
  • Phillips , W. F. 1977 . Kinetic Model for Traffic Flow , Washington : U.S. Department of Transportation . Publication No. DOT/RSPD/DPB/50–77/17
  • Bhatnagar , P. L. , Gross , E. P. and Krook , M. 1954 . “A model for collision processes in gases. I. small amplitude processes in charged and neutral one‐component systems,” . Phys. Rev. , 94 : 511 – 525 .

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