Macroscopic dynamics of multilane traffic

Shvetsov, V. I.; Helbing, Dirk

doi:10.1103/physreve.59.6328

Cited by 119 publications

(111 citation statements)

References 37 publications

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“…In this section, we refine the immediate lane-changing models of Hoogendoorn (1999), Hoogendoorn and Bovy (1999), and Shvetsov and Helbing (1999) by including driver behavior. The application of the gap-acceptance model to the immediate lane-changing process is shown in Figure 3.…”

Section: Immediate Lane-changing Probabilitymentioning

confidence: 99%

“…The individual vehicle speeds conform to a Gaussian distribution. This requirement is used to determine the interaction lane-changing rate in the original models of , Shvetsov and Helbing (1999). 11.…”

Section: Statistical Requirementsmentioning

confidence: 99%

“…For traffic operation on the shoulder lane and on the auxiliary lane we need to determine the MLC rate. According to Shvetsov and Helbing (1999), the MLC rate is proportional to the traffic flow entering or exiting the freeway and inversely proportional to the length of ramps. Let…”

Section: Generalized Gas-kinetic Model Of Weaving Sectionsmentioning

confidence: 99%

“…Since the traffic from on-ramp does not directly influence traffic flow on the left lanes of the shoulder lane (i=2), the generalized MLMC gas-kinetic model of , Shvetsov and Helbing (1999) is applied for those lanes. This model holds also for those lanes in the diverging case when traffic desiring to exit switch to the shoulder lane before the beginning of the weaving area.…”

Section: Generalized Gas-kinetic Model Of Weaving Sectionsmentioning

confidence: 99%

“…Specific examples of control measures that can only be modeled in a class-specific framework are dynamic truck overtaking prohibitions, uninterrupted passage for buses by ramp metering at on ramps, and dynamic lane allocation control. The significant contributions to these research topics are the works by Helbing (1997), Shvetsov and Helbing (1999), , Hoogendoorn and Bovy (1999), etc. Most of these models are developed from gas-kinetic model for mixed traffic on multilane roadways.…”

Section: Introductionmentioning

confidence: 99%

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Derivation of Continuum Traffic Model for Weaving Sections on Freeways

Ngoduy

2006

Transportmetrica

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This paper presents a new continuum model describing the dynamics of multiclass traffic flow on multilane freeways including weaving sections. In this paper, we consider a specific freeway weaving type, which is formed when an on ramp is near to an off ramp and these two ramps are joined by an auxiliary lane. Traffic interactions in this weaving zone are very complex due to the involvement of weaving flows and non-weaving flows in the so-called mandatory lane-changing process. To handle this complexity, it is essential to have a good understanding of the (microscopic) driving behavior within the weaving zones. These behaviors are modeled based on a gap-acceptance model. The methodology to obtain a weaving continuum traffic model is thus twofold. On the one hand, we develop a (macroscopic) model to determine the mandatory lane-changing probability based on a renewal process. On the other hand, we implement the lane-changing model into a current gas-kinetic traffic flow model for heterogeneous traffic flow on multilane roadways. From this, corresponding macroscopic model is obtained based on the method of moments.

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Section: Immediate Lane-changing Probabilitymentioning

confidence: 99%

Section: Statistical Requirementsmentioning

confidence: 99%

Section: Generalized Gas-kinetic Model Of Weaving Sectionsmentioning

confidence: 99%

Section: Generalized Gas-kinetic Model Of Weaving Sectionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Derivation of Continuum Traffic Model for Weaving Sections on Freeways

Ngoduy

2006

Transportmetrica

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A macroscopic traffic model for highway work zones: Formulations and numerical results

Chang

Zhu

2006

ATR

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This study presents a multilane model for analyzing the dynamic traffic properties of a highway segment under a lane-closure operation that often incurs complex interactions between mandatory lane-changing vehicles and traffic at unblocked lanes. The proposed traffic flow formulations employ the hyperbolic model used in the non-Newtonian fluid dynamics, and assume the lane-changing intensity between neighboring lanes as a function of their difference in density. The results of extensive simulation experiments indicate that the proposed model is capable of realistically replicating the impacts of lane-changing maneuvers from the blocked lanes on the overall traffic conditions, including the interrelations between the approaching flow density, the resulting congestion level, and the exiting flow rate from the lane-closure zone. Our extensive experimental analyses also confirm that traffic conditions will deteriorate dramatically and evolve to the state of traffic jam if the density has exceeded its critical level that varies with the type of lane-closure operations. This study also provides a convenient way for computing such a critical density under various lane-closure conditions, and offers a theoretical basis for understanding the formation as well as dissipation of traffic jam.

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AA‐FVDM: An accident‐avoidance full velocity difference model for animating realistic street‐level traffic in rural scenes

Chen

et al. 2013

Computer Animation & Virtual

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Most of existing traffic simulation efforts focus on urban regions with a coarse two‐dimensional representation; relatively few studies have been conducted to simulate realistic three‐dimensional traffic flows on a large, complex road web in rural scenes. In this paper, we present a novel agent‐based approach called accident‐avoidance full velocity difference model (abbreviated as AA‐FVDM) to simulate realistic street‐level rural traffics, on top of the existing FVDM. The main distinction between FVDM and AA‐FVDM is that FVDM cannot handle a critical real‐world traffic problem while AA‐FVDM settles this problem and retains the essence of FVDM. We also design a novel scheme to animate the lane‐changing maneuvering process (in particular, the execution course). Through numerous simulations, we demonstrate that besides addressing a previously unaddressed real‐world traffic problem, our AA‐FVDM method efficiently (in real time) simulates large‐scale traffic flows (tens of thousands of vehicles) with realistic, smooth effects. Furthermore, we validate our method using real‐world traffic data, and the validation results show that our method measurably outperforms state‐of‐the‐art traffic simulation methods.Copyright © 2013 John Wiley & Sons, Ltd.

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Macroscopic dynamics of multilane traffic

Cited by 119 publications

References 37 publications

Derivation of Continuum Traffic Model for Weaving Sections on Freeways

Derivation of Continuum Traffic Model for Weaving Sections on Freeways

A macroscopic traffic model for highway work zones: Formulations and numerical results

AA‐FVDM: An accident‐avoidance full velocity difference model for animating realistic street‐level traffic in rural scenes

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