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Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

The appearance of traffic jams on chains with a shunted section between two simple chain segments in the maximum current phase is studied in the framework of the Totally Asymmetric Simple Exclusion Process. The conditions for the occurrence…

Statistical Mechanics · Physics 2015-09-30 N. Zh. Bunzarova , N. C. Pesheva , J. G. Brankov

In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density…

Analysis of PDEs · Mathematics 2012-08-08 Florent Berthelin , Damien Broizat

In this paper we study a traffic intersection with vehicle-actuated traffic signal control. Traffic lights stay green until all lanes within a group are emptied. Assuming general renewal arrival processes, we derive exact limiting…

Probability · Mathematics 2014-09-11 Marko Boon , Ivo Adan , Erik Winands , Doug Down

For many power-limited networks, such as wireless sensor networks and mobile ad hoc networks, maximizing the network lifetime is the first concern in the related designing and maintaining activities. We study the network lifetime from the…

Networking and Internet Architecture · Computer Science 2016-06-24 Xianxia Yang , Cunlai Pu , Meichen Yan , Rajput Ramiz Sharafat , Jian Yang

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that could explain in a simple way such observed self-organizing phenomena as the sequence of the phase transitions "free flow ->…

Soft Condensed Matter · Physics 2007-05-23 Ihor A. Lubashevsky , Reinhard Mahnke

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

Physics and Society · Physics 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

The congestion of a motorway section is propagated to its neighbouring sections, leading to correlations. The resulting correlation matrix encodes the information on congestion. Here, we study symmetrized time-lagged correlations and show…

Physics and Society · Physics 2024-08-01 Gabor B. Hollbeck , René Pilarczyk , Shanshan Wang , Michael Schreckenberg , Thomas Guhr

Understanding how cities transition from free-flowing to congested traffic remains a central open problem in urban science. Here we show that city-scale congestion undergoes a reproducible nonlinear transition analogous to an order-disorder…

Physics and Society · Physics 2026-05-06 Luis E. Olmos

Setting traffic light signals is a classical topic in traffic engineering, and important in heavy-traffic conditions when green times become scarce and longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an…

Optimization and Control · Mathematics 2022-08-12 Marko Boon , Guido Janssen , Johan van Leeuwaarden , Rik Timmerman

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

Traffic jams occurring on highways cause increased travel time as well as increased fuel consumption and collisions. Traffic jams without a clear cause, such as an on-ramp or an accident, are called phantom traffic jams and are said to make…

Human-Computer Interaction · Computer Science 2022-12-23 Klaas Koerten , David Abbink , Arkady Zgonnikov

This paper develops a computational framework based on a car-following model to study traffic instability and lane changes. Building upon Newell's classical first-order car-following model, we show that, both analytically and numerically,…

Optimization and Control · Mathematics 2025-01-07 Nicholas Mankowski , Hassan Mushtaq , Hanliang Guo

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

Probability · Mathematics 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a…

We study an one-dimensional stochastic model of vehicular traffic on open segments of a single-lane road of finite size $L$. The vehicles obey a stochastic discrete-time dynamics which is a limiting case of the generalized Totally…

Statistical Mechanics · Physics 2018-01-17 J. G. Brankov , N. Zh. Bunzarova , N. C. Pesheva , V. B. Priezzhev

We use a cellular automata approach to numerically investigate traffic flow patterns on a single lane. The free-flow phase (F), the synchronized phase (S), and the jam phase (J) are observed and the transitions among them are studied as the…

Cellular Automata and Lattice Gases · Physics 2011-09-13 Hyun Keun Lee , Beom Jun Kim

This paper proposes a novel max-pressure (MP) algorithm that incorporates pedestrian traffic into the MP control architecture. Pedestrians are modeled as being included in one of two groups: those walking on sidewalks and those queued at…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Hao Liu , Vikash V. Gayah , Michael Levin

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.…

Statistical Mechanics · Physics 2007-05-23 Peter Wagner , Ihor Lubashevsky

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a…

High Energy Physics - Lattice · Physics 2016-08-14 José A. Cuesta , Froilán C. Martínez , Juan M. Molera , Angel Sánchez Escuela
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