Theory and simulation for jamming transitions induced by a slow vehicle in traffic flow

Masukura, Syuichi; Nagatani, Takashi; Tanaka, Katsunori; Hanaura, Hirotoshi

doi:10.1016/j.physa.2006.12.012

Cited by 8 publications

(5 citation statements)

References 25 publications

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“…Let us mention, among others, the spontaneous appearance of traffic jams in slightly inhomogeneous traffic flows [135], congestion at heavy bottlenecks [129], jamming transitions induced by slow vehicles [156], and heterogeneity in the response of drivers'reactions [35].…”

Section: Empirical Data On Emerging Behaviors and Critical Analysismentioning

confidence: 99%

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Bellomo¹,

Dogbe²

2011

SIAM Rev.

384

284

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This paper presents a review and critical analysis of the mathematical literature concerning the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the representation scales and the mathematical frameworks that are used for the modeling approach. The paper also considers the challenging objective of modeling complex systems consisting of large systems of individuals interacting in a nonlinear manner, where one of the modeling difficulties is the fact that these systems are difficult to model at a global level when based only on the description of the dynamics of individual elements. The review is concluded with a critical analysis focused on research perspectives that consider the development of a unified modeling strategy.

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Section: Empirical Data On Emerging Behaviors and Critical Analysismentioning

confidence: 99%

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Bellomo¹,

Dogbe²

2011

SIAM Rev.

384

284

View full text Add to dashboard Cite

show abstract

“…Since the total number of vehicles is conserved [20], then, according to (6), the following relationship holds:

\begin{matrix} T1 \\ L ρ = R_{s} L ρ_{s} + (1 - R_{s}) L ρ_{n} . \end{matrix}

…”

Section: Simulation and Analysismentioning

confidence: 99%

Theory and Simulation for Traffic Characteristics on the Highway with a Slowdown Section

Mao

et al. 2015

Computational Intelligence and Neuroscience

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We study the traffic characteristics on a single-lane highway with a slowdown section using the deterministic cellular automaton (CA) model. Based on the theoretical analysis, the relationships among local mean densities, velocities, traffic fluxes, and global densities are derived. The results show that two critical densities exist in the evolutionary process of traffic state, and they are significant demarcation points for traffic phase transition. Furthermore, the changing laws of the two critical densities with different length of limit section are also investigated. It is shown that only one critical density appears if a highway is not slowdown section; nevertheless, with the growing length of slowdown section, one critical density separates into two critical densities; if the entire highway is slowdown section, they finally merge into one. The contrastive analysis proves that the analytical results are consistent with the numerical ones.

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“…The influence of DPLSL on traffic flow characteristics and traffic safety levels has been rarely investigated. In addition, the existing traffic simulation methods and behavioral analyses [13,23,24] capable of considering such speed limit configuration are limited.…”

Section: Introductionmentioning

confidence: 99%

“…Several safety indexes including lane changing frequency, the speed variation of each lane, and incidence rate of dangerous situations were investigated with respect to different traffic densities. This study considers the situation that slow vehicles [23] in the outer lane could violate the speed limit and enter the inner lane. The simulation was further conducted for situations having different speed compliance [25][26][27] rate of slow vehicles.…”

Section: Introductionmentioning

confidence: 99%

Exploring the Impact of Differentiated Per-Lane Speed Limits on Traffic Safety of Freeways with Considering the Compliance Rate

Mei-yu

Shi

2018

Journal of Advanced Transportation

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This is a subsequent study of a two-lane cellular automata (CA) traffic simulation model proposed by the authors. The current study focused on understanding the impacts of the configuration of the differentiated per-lane speed limit (DPLSL) and its compliance rate on traffic safety indexes, including lane-changing frequency, the coefficient of variation of speed, and incident rate of dangerous situations. The results indicate that freeway sections with DPLSL, especially the ones with complex DPLSL, have potentials to reduce the speed variation, lane changing frequencies, and chances of dangerous situations, resulting in higher traffic safety levels. Furthermore, under DPLSL configurations, the compliance rate of the lane of slow vehicles could positively affect the traffic safety levels. Specifically, as the decrease of the compliance rate, lane changing frequency slightly increases, the coefficient variation of speed especially of the outer lane increases, and the incident rate of the overtaking-on-the-right circumstances increases. In contrast to the simple DPLSL, freeway segments with the complex DPLSL configuration are more sensitive to the influence of the compliance rate.

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Theory and simulation for jamming transitions induced by a slow vehicle in traffic flow

Cited by 8 publications

References 25 publications

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Theory and Simulation for Traffic Characteristics on the Highway with a Slowdown Section

Exploring the Impact of Differentiated Per-Lane Speed Limits on Traffic Safety of Freeways with Considering the Compliance Rate

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