A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

Lin, Boliang; Li, Junwei; Ji, Li‐Jun; Huang, Yong-Chang

doi:10.1007/s10955-010-0083-9

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2015

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“…Traffic jams has attracted much attention of physicists and engineers. Various traffic models [1][2][3][4][5][6], including microscopic models and macroscopic models from different scales, have been proposed to describe the complex traffic phenomena. The physical mechanisms of traffic phenomena such as the stop-and-go traffic, the ghost jams, local clusters, and others are revealed.…”

Section: Introductionmentioning

confidence: 99%

A New Macro Model Considering the Average Speed of Preceding Vehicles Group in CPS Environment

Kang

Sun

Yang

2015

Mathematical Problems in Engineering

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A new car following model considering the effect of average speed information of preceding vehicles group in real traffic is presented. Based on the new car following model, a new macro model for traffic flow is proposed employing the relationship between the micro and macro variables. The linear stability condition of the macro model is obtained by using the linear stability theory. The numerical tests show that the new model can not only simulate the dynamic process of shock, rarefaction wave, and small perturbation, but also can further stabilize the traffic flow.

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