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In traffic flow, cellular automata = kinematic waves

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  • Daganzo, Carlos F.

Abstract

This paper proves that the vehicle trajectories predicted by (i) a simple linear car-following model, CF(L), (ii) the kinematic wave model with a triangular fundamental diagram, KW(T), and (iii) two cellular automata models CA(L) and CA(M) match everywhere to within a tolerance comparable with a single "jam spacing". Thus, CF(L) = KW(T) = CA(L, M).

Suggested Citation

  • Daganzo, Carlos F., 2006. "In traffic flow, cellular automata = kinematic waves," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 396-403, June.
    • Handle: RePEc:eee:transb:v:40:y:2006:i:5:p:396-403
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    1. repec:cdl:itsrrp:qt8w70q261 is not listed on IDEAS
    2. repec:cdl:itsrrp:qt5p54n38q is not listed on IDEAS
    3. Daganzo, Carlos F., 2005. "A variational formulation of kinematic waves: basic theory and complex boundary conditions," Transportation Research Part B: Methodological, Elsevier, vol. 39(2), pages 187-196, February.
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