A simplified car-following theory: a lower order model

By G. F. Newell. 2002

979 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Ocean Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/495b3a6479db6a35b51243dc2cdbdeb4cd983441

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In Control and Systems Engineering

In Ocean Engineering

In Transportation

Citations in the corpus

The Hamilton-Jacobi Partial Differential Equation and the Three Representations of Traffic Flow (2013, methodology): “Although special cases of these models have been published before17 (e.g., Newell, 2002, 1993; Mahut, 2000; Mahut et al., 2003; Daganzo, 2006b,a;18 Leclercq et al., 2007; Claudel and Bayen, 2010; Mazar et al., 2011; Leclercq19 and Becarie, 2012), this paper casts most of them in both general and…”
FREEWAY TRAFFIC OSCILLATIONS: OBSERVATIONS AND PREDICTIONS (2002, background): “A model of driver differences was proposed by Newell (1999).”
Incorporating human-factors in car-following models : a review of recent developments and research needs (2014, positive): “Newell (2002) developed a parsimonious CF model following a very simple CF rule: the time-space trajectory of a vehicle in congested traffic on a homogenous highway is identical 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43…”
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives (2011, methodology): “Among them, Newell [173] used only the velocity-headway function to describe the dynamics of the flow.”
Freeway traffic oscillations : microscopic analysis of formations and propagations using Wavelet Transform (2011, methodology): “Nevertheless, our findings indicate that parameters and d are time-dependent unlike the premise of Newell (2002).”
Traffic state estimation on highway: A comprehensive survey (2017, methodology): “11 system based on (t, x)) is proposed to use the cumulative flow and vehicle trajectories in macroscopic traffic flow model (e.g., Newell, 2002; Daganzo, 2006; Leclercq et al., 2007; Laval and Leclercq, 2013).”
Cooperative Look-Ahead Control for Fuel-Efficient and Safe Heavy-Duty Vehicle Platooning (2015, neutral): “Furthermore, it specifies the time gaps τi , defined as the time intervals between two consecutive vehicles passing through the same point [32], that is”
On the periodicity of traffic oscillations and capacity drop : the role of driver characteristics (2014, methodology): “Figure 13(b) shows a (hypothetical) trajectory for case 1 (labeled ‘1’), which lies beneath the Newell trajectory (dashed trajectory), indicating additional delay and a lower discharge rate.”
A geometric Brownian motion car-following model: towards a better understanding of capacity drop (2018, methodology): “2014, 2012a,b) modify Newell’s first-order car-following model (Newell 2002) to incorporate both bounded accelerations and different reaction patterns to disturbances to replicate realistic oscillations formation and propagation.”
A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic (2010, methodology): “The car-following model of Newell (2002) gives the exact solution of the kinematic-wave theory of Lighthill & Whitham (1955) and Richards (1956) with a triangular flow–density diagram Daganzo (2005); referred to here as the kinematic-wave triangular (KWT) model.”
Traffic jams: dynamics and control (2010, background): “For example, in the model vn(t) = vn+1(t − s), the delay s stands for a time gap (a time distance the driver keeps from the leader; Newell 2002), while in the model”
Three new models for the flow–density relationship: derivation and testing for freeway and urban data (2012, background): “Furthermore, Newell ( 2002 ) explains the link between the bilinear fundamental diagram and a simplified car-following model.”