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The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

统计力学 · 物理学 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov

In this paper, a new model for traffic on roads with multiple lanes is developed, where the vehicles do not adhere to a lane discipline. Assuming identical vehicles, the dynamics is split along two independent directions: the Y-axis…

系统与控制 · 计算机科学 2023-03-02 Rakesh U. Chavan , Debraj Chakraborty , D. Manjunath

We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We determine the fundamental diagram…

统计力学 · 物理学 2009-10-30 Andreas Schadschneider , Michael Schreckenberg

Autonomous vehicular platoons will play an important role in improving on-road safety in tomorrow's smart cities. Vehicles in an autonomous platoon can exploit vehicle-to-vehicle (V2V) communications to collect information, such as velocity…

信息论 · 计算机科学 2019-07-22 Tengchan Zeng , Omid Semiari , Walid Saad , Mehdi Bennis

The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automaton and the Burgers equation, as special cases. We show that…

斑图形成与孤子 · 物理学 2020-04-14 Kohei Higashi , Junkichi Satsuma , Tetsuji Tokihiro

In this paper we propose a distributed model predictive control architecture to coordinate the longitudinal motion of a vehicle platoon at a signalized intersection. Our control approach is cooperative; we use vehicle-to-vehicle (V2V)…

The cellular automaton model is used to simulate diffusion and aggregation with dissociation of point particles in 2D. A continuous phase transition is found that separates creation of compact aggregates and fractal ones. The transition is…

计算物理 · 物理学 2015-04-17 Yuriy G. Gordienko , Elena E. Zasimchuk

The design of cooperative adaptive cruise control is critical in mixed traffic flow, where connected and automated vehicles (CAVs) and human-driven vehicles (HDVs) coexist. Compared with pure CAVs, the major challenge is how to handle the…

系统与控制 · 电气工程与系统科学 2021-03-09 Shuo Feng , Ziyou Song , Zhaojian Li , Yi Zhang , Li Li

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · 物理学 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

We present results on the modeling of on- and off-ramps in cellular automata for traffic flow, especially the Nagel-Schreckenberg model. We study two different types of on-ramps that cause qualitatively the same effects. In a certain…

统计力学 · 物理学 2009-10-31 G. Diedrich , L. Santen , A. Schadschneider , J. Zittartz

A novel continuum model has been developed to address the vehicle size heterogeneity in mixed traffic. By incorporating the principle of vehicle area conservation, a new set of traffic flow variables centered on the concept of vehicle area…

偏微分方程分析 · 数学 2026-04-27 Nandan Maiti , Bhargava Rama Chilukuri

Connected and automated vehicles (CAVs) provide the most intriguing opportunity for enabling users to better monitor transportation network conditions and make better operating decisions to improve safety and reduce pollution, energy…

最优化与控制 · 数学 2023-09-20 Andreas A. Malikopoulos

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

物理与社会 · 物理学 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration $a(t)$ is held approximately constant for a certain time interval, followed by a jump to a new acceleration.…

统计力学 · 物理学 2007-05-23 Peter Wagner , Ihor Lubashevsky

Hypotheses and some results of the three-phase traffic theory by the author are compared with results of the fundamental diagram approach to traffic flow theory. A critical discussion of model results about congested pattern features which…

统计力学 · 物理学 2007-05-23 Boris S. Kerner

The stability of autonomous vehicle platoons with limits on acceleration and deceleration is determined. If the leading-vehicle acceleration remains within the limits, all vehicles in the platoon remain within the limits when the…

适应与自组织系统 · 物理学 2015-06-17 L. C. Davis

The statistics of velocities in the cellular automaton model of Nagel and Schreckenberg for traffic are studied. From numerical simulations, we obtain the probability distribution function (PDF) for vehicle velocities and the…

元胞自动机与格子气 · 物理学 2016-03-23 Nicolas Bain , Thorsten Emig , Franz-Joseph Ulm , Michael Schreckenberg

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

Platooning connected and autonomous vehicles (CAVs) can improve traffic and fuel efficiency. However, scalable platooning operations require junction-level coordination, which has not been well studied. In this paper, we study the…

系统与控制 · 电气工程与系统科学 2023-08-09 Xi Xiong , Junyi Sha , Li Jin