In traffic flow, cellular automata = kinematic waves
Carlos F. Daganzo
Transportation Research Part B: Methodological, 2006, vol. 40, issue 5, 396-403
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).
Date: 2006
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