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Dynamical model of traffic congestion and numerical simulation

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · Vol. 51(2) · pp. 1035–1042

Masako Bando✉(Aichi University)Katsuya Hasebe(Aichi University)A. Nakayama(Nagoya Bunri University)Akira Shibata(Aichi University)Yūki Sugiyama(Tsu City College)

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Abstract

We present a dynamical model of traffic congestion based on the equation of motion of each vehicle. In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle. We investigate this model with both analytic and numerical methods. The stability of traffic flow is analyzed, and the evolution of traffic congestion is observed with the development of time.

Traffic control and management Transportation Planning and Optimization Traffic Prediction and Management TechniquesHeadwayTraffic flow (computer networking)Traffic congestionComputer simulationMicroscopic traffic flow modelFunction (biology)Computer scienceTraffic waveStability (learning theory)Statistical physics

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Towards a realistic microscopic description of highway traffic