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We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is…

Optimization and Control · Mathematics 2011-08-19 Nadir Farhi

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period of T. Two different types of…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Masoud Nematollahi , Farzad Zolfaghari

We developed a virtual laboratory for traffic control where agents use different strategies in order to self-organize on the road. We present our first results where we compare the performance and behaviour promoted by environmental…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson

We consider a system of ordered cars moving in $\R$ from right to left. Each car is represented by a point in $\R$; two or more cars can occupy the same point but cannot overpass. Cars have two possible velocities: either 0 or 1. An…

Statistical Mechanics · Physics 2007-07-09 Fredy Castellares Cáceres , Pablo A. Ferrari , Eugene Pechersky

To address the coordination issue of connected automated vehicles (CAVs) at urban scenarios, a game-theoretic decision-making framework is proposed that can advance social benefits, including the traffic system efficiency and safety, as…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Peng Hang , Chao Huang , Zhongxu Hu , Chen Lv

Climate change compels a reduction of greenhouse gas emissions, yet vehicular traffic still contributes significantly to the emission of air pollutants. Hence, in this paper we focus on the optimization of traffic flow while simultaneously…

Optimization and Control · Mathematics 2024-06-10 Simone Göttlich , Michael Herty , Alena Ulke

In this paper we propose a multiscale traffic model, based on the family of Generic Second Order Models, which integrates multiple trajectory data into the velocity function. This combination of a second order macroscopic model with…

Numerical Analysis · Mathematics 2022-07-29 Caterina Balzotti , Maya Briani

The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws there exist nowadays many ad-hoc models describing this behavior. Based…

Numerical Analysis · Mathematics 2023-08-21 Michael Herty , Niklas Kolbe

Microscopic traffic models have recently gained considerable importance as a mean of optimising traffic control strategies. Computationally efficient and sufficiently accurate microscopic traffic models have been developed based on the…

Discrete Mathematics · Computer Science 2012-04-10 Bartłomiej Płaczek

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

Multiagent Systems · Computer Science 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

A general proecological urban road traffic control idea for the street canyon is proposed with emphasis placed on development of advanced continuum field gasdynamical (hydrodynamical) control model of the street canyon. The continuum field…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

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…

Statistical Mechanics · Physics 2009-10-30 Andreas Schadschneider , Michael Schreckenberg

A generic proecological traffic control model for the urban street canyon is proposed by development of advanced continuum field hydrodynamical control model of the street canyon. The model of optimal control of street canyon dynamics is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

Air pollution is an emerging problem that needs to be solved especially in developed and developing countries. In Vietnam, air pollution is also a concerning issue in big cities such as Hanoi and Ho Chi Minh cities where air pollution comes…

Physics and Society · Physics 2022-12-06 Chuong D. Le , Hoang V. Pham , Duy A. Pham , An D. Le , Hien B. Vo

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…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they try to cross a road. A numerical study of this coupled…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Rui Jiang , Martin Treiber

Self-driving cars and trucks, autonomous vehicles (AVs), should not be accepted by regulatory bodies and the public until they have much higher confidence in their safety and reliability -- which can most practically and convincingly be…

Software Engineering · Computer Science 2022-07-22 Ziyuan Zhong , Gail Kaiser , Baishakhi Ray

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many of the critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, we…

Physics and Society · Physics 2019-02-19 W. Marques , A. R. Mendez , R. M. Velasco

First we consider a unidirectional flux \omega_bar of vehicles each of which is characterized by its `natural' velocity v drawn from a distribution P(v). The traffic flow is modeled as a collection of straight `world lines' in the…

Statistical Mechanics · Physics 2015-05-19 C. Appert-Rolland , H. J. Hilhorst , G. Schehr
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