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Motivated by microscopic traffic modeling, we analyze dynamical systems which have a piecewise linear concave dynamics not necessarily monotonic. We introduce a deterministic Petri net extension where edges may have negative weights. The…

Optimization and Control · Mathematics 2010-01-26 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

Urban traffic congestion is a chronic problem faced by many cities. It is essentially inefficient infrastructure use which results in increased vehicle fuel consumption and emissions. This in turn adds extra costs to commuters and…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Youssef Bichiou , Hesham A. Rakha , Hossam Abdelghaffar

In this paper, a multi-lane multi-population microscopic model, which presents stop and go waves, is proposed to simulate traffic on a ring-road. Vehicles are divided between human-driven and autonomous vehicles (AV). Control strategies are…

This article presents a derivation of analytical predictions for steady-state distributions of netto time gaps among clusters of vehicles moving inside a traffic stream. Using the thermodynamic socio-physical traffic model with short-ranged…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Milan Krbalek

Understanding the mechanisms responsible for the emergence and evolution of oscillations in traffic flow has been subject to intensive research by the traffic flow theory community. In our previous work, we proposed a new mechanism to…

Physics and Society · Physics 2019-01-01 Junfang Tian , H. M. Zhang , Martin Treiber , Rui Jiang , Zi-You Gao , Bin Jia

Intersections are one of the main sources of congestion and hence, it is important to understand traffic behavior at intersections. Particularly, in developing countries with high vehicle density, mixed traffic type, and lane-less driving…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Debaditya Roy , K. Naveen Kumar , C. Krishna Mohan

In recent years, several approaches for modelling pedestrian dynamics have been proposed and applied e.g. for design of egress routes. However, so far not much attention has been paid to their 'quantitative' validation. This unsatisfactory…

Physics and Society · Physics 2008-10-13 A. Seyfried , M. Boltes , J. Kähler , W. Klingsch , A. Portz , T. Rupprecht , A. Schadschneider , B. Steffen , A. Winkens

The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitively limit its application to real traffic systems, many operational models…

Physics and Society · Physics 2016-08-19 Juste Raimbault

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…

Pattern Formation and Solitons · Physics 2020-04-14 Kohei Higashi , Junkichi Satsuma , Tetsuji Tokihiro

This article deals with the specific context of an autonomous car navigating in an urban center within a shared space between pedestrians and cars. The driver delegates the control to the autonomous system while remaining seated in the…

Human-Computer Interaction · Computer Science 2018-05-10 Eleonore Ferrier-Barbut , Dominique Vaufreydaz , Jean-Alix David , Jérôme Lussereau , Anne Spalanzani

In this paper a cellular automata model for one-lane traffic flow is presented. A new set of rules is proposed to better capture driver reactions to traffic that are intended to preserve safety on the highway. As a result, drivers behavior…

Statistical Mechanics · Physics 2009-09-29 M. E. Larraga , L. Alvarez-Icaza

Rush hour and sustained traffic flows in eight cities are studied using the IBM Mega Traffic Simulator to understand the importance of road structures and vehicle acceleration in the prevention of gridlock. Individual cars among the tens of…

Physics and Society · Physics 2024-01-03 Bruce G. Elmegreen , Tayfun Gokmen , Biruk Habtemariam

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

Machine Learning · Statistics 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

In one-dimensional, heterogeneous systems, the whole traffic dynamics depend strongly on the behavior of the leading vehicle. This result holds for a class of vehicular traffic models satisfying the following properties. The interactions…

Physics and Society · Physics 2021-06-03 Ricardo S. P. Lopes

Although traffic simulations with cellular-automata models give meaningful results compared with empirical data, highway traffic requires a more detailed description of the elementary dynamics. Based on recent empirical results we present a…

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

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 · Physics 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

Statistical Mechanics · Physics 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

Stop-and-go waves are commonly observed in traffic and pedestrian flows. In most traffic models they occur through a phase transition after fine tuning of parameters when the model has unstable homogeneous solutions. Inertia effects are…

Physics and Society · Physics 2019-12-03 Antoine Tordeux , Andreas Schadschneider , Sylvain Lassarre

Connected automated vehicles (CAVs) could potentially be coordinated to safely attain the maximum traffic flow on roadways under dynamic traffic patterns, such as those engendered by the merger of two strings of vehicles due a lane drop.…

Systems and Control · Computer Science 2017-10-09 Aria HasanzadeZonuzy , Sina Arefizadeh , Alireza Talebpour , Srinivas Shakkottai , Swaroop Darbha
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