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Related papers: Multiscale control of generic second order traffic…

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In this paper we present a new kind of model for traffic flow which couples a first-order macroscopic approach with a second-order microscopic approach, avoiding any interface or boundary conditions between them. The Euler-Godunov scheme…

Numerical Analysis · Mathematics 2020-06-04 Emiliano Cristiani , Elisa Iacomini

In order to develop a toy model for car's traffic in cities, in this paper we analyze, by means of numerical simulations, the transition among fluid regimes and a congested jammed phase of the flow of "kinetically constrained" hard spheres…

Statistical Mechanics · Physics 2009-07-30 Adriano Barra , Gabriele Achler

Lane changing is one of the most common maneuvers on motorways. Although, macroscopic traffic models are well known for their suitability to describe fast moving crowded traffic, most of these models are generally developed in one…

Numerical Analysis · Mathematics 2019-03-20 Michael Herty , Salissou Moutari , Giuseppe Visconti

In this paper, we apply a Control Lyapunov Function methodology to design two families of cruise controllers for the two-dimensional movement of autonomous vehicles on lane-free roads using the bicycle kinematic model. The control Lyapunov…

Optimization and Control · Mathematics 2022-03-08 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

The paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions…

Optimization and Control · Mathematics 2021-09-21 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

We present a macroscopic model of mixed multi-lane freeway traffic that can be easily calibrated to empirical traffic data, as is shown for Dutch highway data. The model is derived from a gas-kinetic level of description, including effects…

Statistical Mechanics · Physics 2009-10-31 Vladimir Shvetsov , Dirk Helbing

We propose a Physics Informed Learning framework for reconstructing traffic density from sparse trajectory data. The approach combines a second-order Aw-Rascle and Zhang model with a first-order training stage to estimate the equilibrium…

Systems and Control · Electrical Eng. & Systems 2026-04-10 S. Betancur Giraldo , J. Mårtensson , M. Barreau

We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in the source terms for lane changing, and fully coupled to…

Analysis of PDEs · Mathematics 2024-04-29 Paola Goatin , Benedetto Piccoli

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…

Statistical Mechanics · Physics 2007-05-23 Maciej M. Duras

Macroscopic traffic flow models are essential for analysing traffic dynamics in highways and urban roads. While second-order models like METANET capture non-equilibrium traffic states, they often produce unrealistic speed predictions, such…

Physics and Society · Physics 2025-03-25 Weiming Zhao , Claudio Roncoli , Mehmet Yildirimoglu

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

The control of high-dimensional systems, such as soft robots, requires models that faithfully capture complex dynamics while remaining computationally tractable. This work presents a framework that integrates Graph Neural Network…

Reinforcement learning techniques can provide substantial insights into the desired behaviors of future autonomous driving systems. By optimizing for societal metrics of traffic such as increased throughput and reduced energy consumption,…

Multiagent Systems · Computer Science 2022-01-03 Abdul Rahman Kreidieh , Yibo Zhao , Samyak Parajuli , Alexandre Bayen

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

Shared control fuses operator inputs and autonomy inputs into a single command. However, if environmental or operator predictions are multimodal, state of the art approaches are suboptimal with respect to safety, efficiency, and…

Robotics · Computer Science 2017-05-30 Pete Trautman

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

In this paper, we propose a unified procedure for calibration of macroscopic second-order multilane traffic models. The focus is on calibrating the fundamental diagram using the combination stationary detector data and GPS traces. GPS…

Traditional planning and control methods could fail to find a feasible trajectory for an autonomous vehicle to execute amongst dense traffic on roads. This is because the obstacle-free volume in spacetime is very small in these scenarios…

Robotics · Computer Science 2022-12-29 Dhruv Mauria Saxena , Sangjae Bae , Alireza Nakhaei , Kikuo Fujimura , Maxim Likhachev

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang
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