A cellular automata traffic flow model for three-phase theory

On kinematic waves II. A theory of traffic flow on long crowded roads

M. J. Lighthill, G. B. Whitham · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1955 · 4.6K citations

Engineering, Civil Engineering, Transport +14

Shock Waves on the Highway

P.I. Richards · Operations Research · 1956 · 3.6K citations

Engineering, Automotive Engineering, Civil Engineering +17

Statistical mechanics of cellular automata

Stephen Wolfram · Reviews of Modern Physics · 1983 · 3.1K citations

Natural Sciences, Mathematics, Complex Systems +16

The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory

Carlos F. Daganzo · Transportation Research Part B Methodological · 1994 · 2.9K citations

Engineering, Civil Engineering, Transport +16

Requiem for second-order fluid approximations of traffic flow

Carlos F. Daganzo · Transportation Research Part B Methodological · 1995 · 864 citations

Engineering, Civil Engineering, Mathematics +11