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).
Publication date:
June 1, 2006
Publication type:
Journal Article
Citation:
Daganzo, C. F. (2006). In Traffic Flow, Cellular Automata = Kinematic Waves. Transportation Research Part B: Methodological, 40(5), 396–403. https://doi.org/10.1016/j.trb.2005.05.004