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While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Katsuhiro Nishinari , Daisuke Takahashi

Urban traffic congestion, particularly at intersections, significantly affects travel time, fuel consumption, and emissions. Traditional fixed-time signal control systems often lack the adaptability to effectively manage dynamic traffic…

Artificial Intelligence · Computer Science 2025-12-01 Saahil Mahato

A discrete model of traffic on a multilane road is considered. The traffic is presented as particles movement with a deterministic component and a stochastic one. Formulas for the traffic characteristics have been found. The model can…

Physics and Society · Physics 2007-05-23 A. P. Buslaev , V. M. Prikhodko , A. G. Tatashev , M. V. Yashina

The jam phases in a two-dimensional cellular automata model of traffic flow are investigated by computer simulations. Two different types of the jam phases are found. The spatially diagonal long-range correlation obeys the power law at the…

patt-sol · Physics 2009-10-28 Shin-ichi Tadaki , Macoto Kikuchi

Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in (urban) networks, we study the problem of coordinating incompatible traffic flows at intersections. Inspired by the observation of self-organized…

Physics and Society · Physics 2009-11-13 Stefan Lämmer , Dirk Helbing

This work examines the implications of uncoupled intersections with local real-world topology and sensor setup on traffic light control approaches. Control approaches are evaluated with respect to: Traffic flow, fuel consumption and noise…

Artificial Intelligence · Computer Science 2018-11-29 Mark Schutera , Niklas Goby , Stefan Smolarek , Markus Reischl

We generalize the phase transition model studied in [R. Colombo. Hyperbolic phase transition in traffic flow.\ SIAM J.\ Appl.\ Math., 63(2):708-721, 2002], that describes the evolution of vehicular traffic along a one-lane road. Two…

Analysis of PDEs · Mathematics 2018-02-14 Edda Dal Santo , Massimiliano D. Rosini , Nikodem Dymski , Mohamed Benyahia

The path-preference traffic flow cellular automaton is suggested to model the dynamics of transcription. The main difference from the simple traffic flow model is that it contains another preferential paths at some sites. In this paper, we…

Cellular Automata and Lattice Gases · Physics 2017-12-27 Yoichi Nakata , Yoshihiro Ohta , Sigeo Ihara

Traffic prediction is a fundamental task in many real applications, which aims to predict the future traffic volume in any region of a city. In essence, traffic volume in a region is the aggregation of traffic flows from/to the region.…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Xian Zhou , Yanyan Shen , Linpeng Huang

The control of traffic signals is fundamental and critical to alleviate traffic congestion in urban areas. However, it is challenging since traffic dynamics are complicated in real-world scenarios. Because of the high complexity of the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Hu Wang , Hao Chen , Qi Wu , Congbo Ma , Yidong Li , Chunhua Shen

Detecting emergency vehicles arrival on roads has been the focus for many researchers. It is quite important to detect the emergency vehicles (e.g; ambulance) arrival to traffic light to give the green light for it to pass through. Many…

Multiagent Systems · Computer Science 2020-09-01 Maythem K. Abbas , Mohd Noh Karsiti , Madzlan Napiah , Samir Brahim

In this work we propose a car cellular automaton model that reproduces the experimental behavior of traffic flows in Bogot\'a. Our model includes three elements: hysteresis between the acceleration and brake gaps, a delay time in the…

Statistical Mechanics · Physics 2009-11-10 L. E. Olmos , J. D. Munoz

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

Earlier work has established a decentralized optimal control framework for coordinating online a continuous flow of connected automated vehicles (CAVs) entering a control zone and crossing two adjacent intersections in an urban area. A…

Optimization and Control · Mathematics 2017-02-21 Yue Zhang , Christos G. Cassandras , Andreas A. Malikopoulos

We address the traffic light control problem for multiple intersections in tandem by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. Using Infinitesimal Perturbation Analysis (IPA), we derive…

Systems and Control · Computer Science 2012-04-19 Yanfeng Geng , Christos G. Cassandras

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. In the…

Statistical Mechanics · Physics 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

The connected vehicle technology is a remarkable trend in the field of the intelligent transportation system. Since the actual deployment of the connected vehicle system is still lacking hitherto, simulation is widely adopted as the major…

Systems and Control · Computer Science 2018-09-07 Weitong Zhang , Shuai Liu , Daoya Yao

Measurements of traffic flow show the existence of metastable states of very high throughput. These observations cannot be reproduced by the CA model of Nagel and Schreckenberg (NaSch model), not even qualitatively. Here we present two…

Statistical Mechanics · Physics 2007-05-23 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg