A discrete traffic kinetic model – integrating the lagged cell transmission and continuous traffic kinetic models

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

Dynamical model of traffic congestion and numerical simulation

Masako Bando, Katsuya Hasebe, A. Nakayama et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 3K citations

Engineering, Mathematics, Dynamical 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

A simplified theory of kinematic waves in highway traffic, part I: General theory

G. F. Newell · Transportation Research Part B Methodological · 1993 · 842 citations

Engineering, Automotive Engineering, Civil Engineering +17