In traffic flow, cellular automata = kinematic waves

In traffic flow, cellular automata = kinematic waves

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 sin...

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Veröffentlicht in:Transportation research. Part B: methodological 2006-06, Vol.40 (5), p.396-403
1. Verfasser: Daganzo, Carlos F.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Cellular automata
Exact sciences and technology
Ground, air and sea transportation, marine construction
Kinematic waves
Traffic flow
Transportation planning, management and economics
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Zusammenfassung: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).
ISSN:0191-2615
1879-2367
DOI:10.1016/j.trb.2005.05.004