Abstract:
This paper proves that the vehicle trajectories predicted by (i) a simple linear carfollowing 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:
October 1, 2004
Publication type:
Research Report
Citation:
Daganzo, C. F. (2004). In Traffic Flow, Cellular Automata = Kinematic Waves (UCB-ITS-RR-2004-5). https://escholarship.org/uc/item/8ht0z7mk