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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

In the simulation-based testing and evaluation of autonomous vehicles (AVs), how background vehicles (BVs) drive directly influences the AV's driving behavior and further impacts the testing result. Existing simulation platforms use either…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Lin Liu , Shuo Feng , Yiheng Feng , Xichan Zhu , Henry X. Liu

There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

Statistical Mechanics · Physics 2007-05-23 Dominic Jost , Kai Nagel

We study heterogeneous traffic dynamics by introducing quenched disorders in all the parameters of Newell's car-following model. Specifically, we consider randomness in the free-flow speed, the jam density, and the backward wave speed. The…

Physics and Society · Physics 2020-05-27 A. Sai Venkata Ramana , Saif Eddin Jabari

A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

Physics and Society · Physics 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

Drivers' heterogeneity and the broad range of vehicle characteristics on public roads are primarily responsible for the stochasticity observed in road traffic dynamics. Understanding the behavioural differences in drivers (human or…

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

We consider a modified Nagel-Schreckenberg (NS) model in which drivers do not decelerate if their speed is smaller than the headway (number of empty sites to the car ahead). (In the original NS model, such a reduction in speed occurs with…

Statistical Mechanics · Physics 2017-02-15 M. L. L. Iannini , Ronald Dickman

The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Helge Siegel , Dennis Belomestnyi

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

We study a hierarchy of models based on kinetic equations for the descriptions of traffic flow in presence of autonomous and human--driven vehicles. The autonomous cars considered in this paper are thought of as vehicles endowed with some…

Physics and Society · Physics 2021-10-11 M. Herty , G. Puppo , G. Visconti

A method is developed to estimate the properties of a global hydrodynamic instability in turbulent flows from measurement data of the limit-cycle oscillations. For this purpose, the flow dynamics are separated in deterministic contributions…

Fluid Dynamics · Physics 2021-04-21 Moritz Sieber , C. Oliver Paschereit , Kilian Oberleithner

The evolution of oscillations is a very important issue in traffic flow studies. A recent car-following experiment (Experiment-I) showed that the speed standard deviation grows in a concave way along a platoon of vehicles following one…

Physics and Society · Physics 2020-05-05 Shi-Teng Zheng , Rui Jiang , Junfang Tian , Xiaopeng Li , Bin Jia , Ziyou Gao , Shaowei Yu

The lateral position of vehicles within their lane is a decisive factor for the range of vision of vehicle sensors. This, in turn, is crucial for a vehicle's ability to perceive its environment and gain a high situational awareness by…

Robotics · Computer Science 2024-05-28 Nicole Neis , Juergen Beyerer

Addressing safe and efficient interaction between connected and automated vehicles (CAVs) and human-driven vehicles in a mixed-traffic environment has attracted considerable attention. In this paper, we develop a framework for stochastic…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Viet-Anh Le , Behdad Chalaki , Filippos N. Tzortzoglou , Andreas A. Malikopoulos

This paper firstly show that 2 Dimensional Intelligent Driver Model (Jiang et al., PloS one, 9(4), e94351, 2014) is not able to replicate the synchronized traffic flow. Then we propose an improved model by considering the difference between…

Pattern Formation and Solitons · Physics 2016-08-11 Junfang Tian , Rui Jiang , Geng Li , Martin Treiber , Chenqiang Zhu , Bin Jia

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-09-25 S. Lubeck , L. Roters , K. D. Usadel

We investigate dynamical properties of traffic flow using the stochastic car-following model with modified optimal velocity on circular road. The safety distance following the two-second rule and autonomous vehicles, acting as agents,…

Adaptation and Self-Organizing Systems · Physics 2020-03-18 Manit Klawtanong , Surachate Limkumnerd

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

Physics and Society · Physics 2023-08-15 Jeremy Worsfold , Tim Rogers

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm