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We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

The theory of urban traffic flow has been developed and new types of meta-automata have emerged and simulate realistic traffic conditions relatively well. Among these models, the brake light model can simulate the three-phase traffic flow…

复变函数 · 数学 2021-11-29 Rui Shen

The emergence of autonomous vehicles is expected to revolutionize road transportation in the near future. Although large-scale numerical simulations and small-scale experiments have shown promising results, a comprehensive theoretical…

最优化与控制 · 数学 2020-08-07 Yang Zheng , Jiawei Wang , Keqiang Li

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady…

元胞自动机与格子气 · 物理学 2015-03-23 Junfang Tian , Bin Jia , Shoufeng Ma , Chenqiang Zhu , Rui Jiang , YaoXian Ding

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

其他凝聚态物理 · 物理学 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

Routing strategies for traffics and vehicles have been historically studied. However, in the absence of considering drivers' preferences, current route planning algorithms are developed under ideal situations where all drivers are expected…

机器人学 · 计算机科学 2021-05-04 Jizhe Zhou , Qiwei Chen , Qin Li

As a dynamical complex system, traffic is characterized by a transition from free flow to congestions, which is mostly studied in highways. However, despite its importance in developing congestion mitigation strategies, the understanding of…

物理与社会 · 物理学 2015-12-02 Feilong Wang , Daqing Li , Xiaoyun Xu , Ruoqian Wu , Shlomo Havlin

Autonomous driving systems present promising methods for congestion mitigation in mixed autonomy traffic control settings. In particular, when coupled with even modest traffic state estimates, such systems can plan and coordinate the…

系统与控制 · 电气工程与系统科学 2023-06-06 Zhe Fu , Abdul Rahman Kreidieh , Han Wang , Jonathan W. Lee , Maria Laura Delle Monache , Alexandre M. Bayen

Vehicular traffic is a classical example of a multi-agent system in which autonomous drivers operate in a shared environment. The article provides an overview of the state-of-the-art in microscopic traffic modeling and the implications for…

物理与社会 · 物理学 2009-10-26 Arne Kesting , Martin Treiber , Dirk Helbing

This paper examines the IDM microscopic car-following model from a dynamical systems perspective, analyzing the effects of delay on congestion formation. Further, a case of mixed-autonomy is considered by controlling one car with…

系统与控制 · 电气工程与系统科学 2025-12-16 Trevor McClain , Rahul Bhadani

In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and the zero range process. Moreover it is regarded as a…

统计力学 · 物理学 2009-05-26 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

Lagging or halted traffic is bothersome. As such, it is desirable to have a model that can begin to determine the efficiency of various traffic standardizations. Our model intended to create a multifaceted realistic simulation of traffic…

元胞自动机与格子气 · 物理学 2018-03-28 Camilla Champion , Cody Champion

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

适应与自组织系统 · 物理学 2014-12-16 Bo Yang , Christopher Monterola

In this paper, we investigate the dynamic emergence of traffic order in a distributed multi-agent system, aiming to minimize inefficiencies that stem from unnecessary structural impositions. We introduce a methodology for developing a…

多智能体系统 · 计算机科学 2025-01-28 Anahita Jain , Husni R. Idris , John-Paul Clarke

We present an adaptive control scheme to enable the emergence of order within distributed, autonomous multi-agent systems. Past studies showed that under high-density conditions, order generated from traffic-following behavior reduces…

多智能体系统 · 计算机科学 2025-06-03 Anahita Jain , Husni Idris , John-Paul Clarke , Daniel Delahaye

We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

数学物理 · 物理学 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch

Traffic breakdown, as one of the most puzzling traffic flow phenomena, is characterized by sharply decreasing speed, abruptly increasing density and in particular suddenly plummeting capacity. In order to clarify its root mechanisms and…

物理与社会 · 物理学 2017-04-04 Zuojun Wang , Junfang Tian , Rui Jiang , Xiaopeng Li , Shou Feng Ma

We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties…

凝聚态物理 · 物理学 2009-10-22 M. Schreckenberg , A. Schadschneider , K. Nagel , N. Ito

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles…

凝聚态物理 · 物理学 2009-10-31 Bing-Hong Wang , Lei Wang , P. M. Hui , Bambi Hu

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

最优化与控制 · 数学 2010-02-11 Nadir Farhi
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