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Related papers: From heterogeneous microscopic traffic flow models…

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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 this thesis, Riemann problems and Godunov methods are developed for higher order traffic flow models. A rigorous analysis of the first order traffic flow model of inhomogeneous road is presented. A two-level simulation framework of…

Dynamical Systems · Mathematics 2009-09-29 Wenlong Jin

To help mitigate road congestion caused by the unrelenting growth of traffic demand, many transit authorities have implemented managed lane policies. Managed lanes typically run parallel to a freeway's standard, general-purpose (GP) lanes,…

Systems and Control · Computer Science 2019-06-14 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

Dense human flow has been a concern for the safety of public events for a long time. Macroscopic pedestrian models, which are mainly based on fluid dynamics, are often used to simulate huge crowds due to their low computational costs…

Multiagent Systems · Computer Science 2016-01-24 Daniel H. Biedermann , Peter M. Kielar , Quirin Aumann , Carlos M. Osorio , Celeste T. W. Lai

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…

Modern applications, such as orchestrating the collective behavior of robotic swarms or traffic flows, require the coordination of large groups of agents evolving in unstructured environments, where disturbances and unmodeled dynamics are…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Gian Carlo Maffettone , Davide Salzano , Mario di Bernardo

We develop a mesoscopic modeling framework for diffusion in a crowded environment, particularly targeting applications in the modeling of living cells. Through homogenization techniques we effectively coarse-grain a detailed microscopic…

Subcellular Processes · Quantitative Biology 2018-09-19 Stefan Engblom , Per Lötstedt , Lina Meinecke

We give an overview of time-continuous pedestrian models with a focus on data-driven modelling. Starting from pioneer, reactive force-based models we move forward to modern, active pedestrian models with sophisticated collision-avoidance…

Physics and Society · Physics 2023-10-25 Raphael Korbmacher , Alexandre Nicolas , Antoine Tordeux , Claudia Totzeck

In this paper, we focus on the different traffic flow models that exist in literature. Due to our frequently encountered confusion among traffic engineers and policy makers, this paper goes into more detail about transportation planning…

Physics and Society · Physics 2009-09-29 Sven Maerivoet , Bart De Moor

It is shown that the desire for smooth and comfortable driving is directly responsible for the occurrence of complex spatio-temporal structures (``synchronized traffic'') in highway traffic. This desire goes beyond the avoidance of…

Statistical Mechanics · Physics 2009-11-07 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

Statistical Mechanics · Physics 2009-11-10 Martin Treiber , Dirk Helbing

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic…

Analysis of PDEs · Mathematics 2021-08-16 Wancheng Sheng , Qinglong Zhang

In this paper we present a Boltzmann-type kinetic approach to the modelling of road traffic, which includes control strategies at the level of microscopic binary interactions aimed at the mitigation of speed-dependent road risk factors.…

Optimization and Control · Mathematics 2018-07-20 Andrea Tosin , Mattia Zanella

Alongside optimization-based planners, sampling-based approaches are often used in trajectory planning for autonomous driving due to their simplicity. Model predictive path integral control is a framework that builds upon optimization…

Robotics · Computer Science 2026-02-09 Georg Rabenstein , Lars Ullrich , Knut Graichen

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du

We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Julien Pettré , Guy Theraulaz

Anticipation in traffic means that drivers estimate their leaders' velocities for future timesteps. In the article a specific stochastic car--following model with non--unique flow--density relation is investigated with respect to…

Statistical Mechanics · Physics 2009-11-10 Nils Eissfeldt , Peter Wagner

Calibration and validation techniques are crucial in assessing the descriptive and predictive power of car-following models and their suitability for analyzing traffic flow. Using real and generated floating-car and trajectory data, we…

Physics and Society · Physics 2014-03-21 Martin Treiber , Arne Kesting

We study the application of a recently introduced hierarchical description of traffic flow control by driver-assist vehicles to include lane changing dynamics. Lane-dependent feedback control strategies are implemented at the level of…

Optimization and Control · Mathematics 2020-12-22 R. Borsche , A. Klar , M. Zanella