A macroscopic traffic model based on weather conditions

The anisotropic Zheng and Jiang models characterize traffic with a constant rearward velocity. They also consider a constant driver sensitivity which can result in unrealistic behavior. In this paper, a new anisotropic model based on a variable rearward velocity is proposed. The transition width, driver reaction, and sensitivity at transitions are used to characterize this velocity. This width impacts traffic alignment with forward conditions and driver reaction can be aggressive, slow or typical. The performance of the proposed, Zheng and Jiang models is evaluated over a 2000 m circular (ring) road with an inactive traffic bottleneck. Results are presented which show that traffic evolution with the proposed model is more realistic than with the Zheng and Jiang models. INDEX TERMS Anisotropic model, driver reaction, rearward velocity, transition dynamics, Zheng model, Jiang model.

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“…where the superscript r denotes the Richtmyer scheme. The flux at the segment boundaries is obtained by averaging (20) and (22) which gives…”

Section: Model Decomposition Anisotropy and Hyperbolicitymentioning

confidence: 99%

“…was independently proposed by Whitham which is based on the indistinguishable behavior of vehicles [15]. The Payne-Whitham (PW) model can be expressed as [16]- [20] ∂ρ ∂t +…”

Section: Introductionmentioning

confidence: 99%

An Anisotropic Traffic Model Based on Driver Interaction

et al. 2020

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“…The width of a road segment is ∆x, which is the difference between two consecutive points in the x direction, and a time step is ∆t. At the boundary of road segments i and i + 1, denoted by i + 1 2 , the average velocity for the proposed and PW models [44]…”

Section: Roe Decompositionmentioning

confidence: 99%

A Macroscopic Traffic Model based on Driver Reaction and Traffic Stimuli

et al. 2019

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A new macroscopic traffic flow model is proposed, which considers driver presumption based on driver reaction and traffic stimuli. The Payne–Whitham (PW) model characterizes the traffic flow based on a velocity constant C 0 which results in unrealistic density and velocity behavior. Conversely, the proposed model characterizes traffic behavior with velocities based on the distance headway. The performance of the proposed and PW models is evaluated over a 300 m circular road for an inactive bottleneck. The results obtained show that the traffic behavior with the proposed model is more realistic.

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“…The ESG model is inadequate because driver presumption is the same for all conditions. Traffic in adverse conditions such as ice and snow was characterized in [22] considering the friction between the tires and road. This is the first model to incorporate the impact of adverse weather on traffic.…”

Section: Introductionmentioning

confidence: 99%

A Novel Macroscopic Traffic Model based on Distance Headway

2021

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A new model is proposed to characterize changes in traffic at transitions. These changes are affected by driver response. The distance headway between vehicles is considered as it affects driver behavior. Driver response is quick with a small distance headway and slow when the distance headway is large. The variations in traffic are greater with a slow driver while traffic is smooth with a quick driver. A model is developed which characterizes traffic based on driver response and distance headway. This model is compared with the well-known and widely employed Zhang and PW models. The Zhang model characterizes driver response at transitions using an equilibrium velocity distribution and ignores distance headway and driver response. Traffic flow in the PW model is characterized using only a velocity constant. Roe decomposition is employed to evaluate the Zhang, PW, and proposed models over a 270 m circular (ring) road. Results are presented which show that Zhang model provides unrealistic results. The corresponding behavior with the proposed model has large variations in flow with a slow driver but is smooth with a quick driver. The PW model provides smooth changes in flow according to the velocity constant, but the behavior is unrealistic because it is not based on traffic physics. Doi: 10.28991/CEJ-SP2021-07-03 Full Text: PDF

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A macroscopic traffic model based on weather conditions

Cited by 20 publications

References 34 publications

An Anisotropic Traffic Model Based on Driver Interaction

An Anisotropic Traffic Model Based on Driver Interaction

A Macroscopic Traffic Model based on Driver Reaction and Traffic Stimuli

A Novel Macroscopic Traffic Model based on Distance Headway

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