Results 251 to 260 of about 11,974,013 (294)
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The density wave in a car-following model
Journal of Physics A: Mathematical and General, 2002Summary: According to the optimal-velocity model, the condition for stable traffic flow is deduced. Nonlinear analysis shows that the density fluctuation in traffic flow itself induces two types of local density waves. A weak fluctuation occurring near the stability state in a wide range of headways forms a soliton determined by the Korteweg-de Vries ...
Zhou, Xianjun, Liu, Zhongzhu, Luo, Jun
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A novel nonlinear car-following model
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998The mathematical models used to describe the dynamical behavior of a group of road vehicles traveling in a single lane without overtaking are known as car-following models. These models are widely used in many commercially available microscopic traffic simulation software packages. They attempt to mimic the interactions between individual vehicles that
Addison, Paul S., Low, David J.
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A Linear Dynamic Model for Driving Behavior in Car Following [PDF]
Transportation Science, 2016 In this paper a car-following model is formulated as a time-continuous dynamic process, depending on two parameters and two inputs. One of these inputs is the follower’s desired equilibrium spacing, assumed to exist and to be known. Another input is the speed of the lead vehicle. Given the formulation of the model, the contribution of these two inputs
PARIOTA, LUIGI +2 more
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Transportmetrica B, 2014 A global framework for linear stability analyses of traffic models, based on the dispersion relation root locus method, is presented and is applied taking the example of a broad class of car following models.
MONTEIL, Julien +4 more
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Elementary Car-Following Models
2012Microscopic models describe traffic flow dynamics in terms of single vehicles. The mathematical formulations include car-following models, the topic of this and the next two chapters, and cellular automata, which are described in Chap. 13. This chapter begins with a discussion of general principles that apply to all microscopic models of traffic flow ...
Martin Treiber, Arne Kesting
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1983
The automobile is a pervasive feature of modern technological societies despite its accompanying problems of pollution, accidents, and congestion. In the last 25 years a vast amount of literature has been published which we might classify as “traffic science.” This science has attempted to understand through modeling and data gathering the traffic ...
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The automobile is a pervasive feature of modern technological societies despite its accompanying problems of pollution, accidents, and congestion. In the last 25 years a vast amount of literature has been published which we might classify as “traffic science.” This science has attempted to understand through modeling and data gathering the traffic ...
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Stability of the car-following model on two lanes
Physical Review E, 2005In the case of two-lane traffic, vehicle drivers always worry about the lane changing actions from neighbor lane. This paper studies the stability of a car-following model on two lanes which incorporates the lateral effects in traffic. The stability condition of the model is obtained by using the linear stability theory.
Tie-Qiao, Tang +2 more
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A compound compensation method for car-following model
Communications in Nonlinear Science and Numerical Simulation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen-Xing Zhu, Du Jun, Li-Dong Zhang
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Composite car following models
Transportation Research, 1974Abstract This paper addresses previous proposed car-following models and compares them with empirically collected data obtained through aerial photogrammetric techniques, and considers the possibility of using “composite” models to describe the real world situations. Four models are revisited, namely those associated with Chandler et al.
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Analysis of a Car-Following Model with Driver Memory Effect
International Journal of Bifurcation and Chaos, 2015A nonlinear car-following model considering memory effect of human drivers is studied by means of theoretical analysis and numerical simulation. We model the memory effect of the response of drivers to the traffic situation for a car-following model by introducing a system variable related to velocity.
Zhi Xin, Jian Xu 0005
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