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Related papers: Micro- and Macrosimulation of Freeway Traffic

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We present a macroscopic traffic flow model where standard vehicles coexist with vehicles informed on the traffic distribution. The resulting mixed nonlocal-local integro-differential PDEs is proved to generate a locally Lipschitz…

Analysis of PDEs · Mathematics 2025-11-03 Rinaldo M. Colombo , Mauro Garavello , Claudia Nocita

A realistic long-term microscopic traffic simulator is necessary for understanding how microscopic changes affect traffic patterns at a larger scale. Traditional simulators that model human driving behavior with heuristic rules often fail…

Robotics · Computer Science 2023-11-21 Ke Guo , Wei Jing , Lingping Gao , Weiwei Liu , Weizi Li , Jia Pan

In an increasingly interconnected world, understanding congestion-related phenomena in transportation and their underlying mechanisms is crucial for improving efficiency. As the transportation system becomes denser, different modes of…

Physics and Society · Physics 2025-04-04 Sakurako Tanida , Thorsten Pöschel

With the advent of autonomous driving technologies, traffic control at intersections is expected to experience revolutionary changes. Various novel intersection control methods have been proposed in the existing literature, and they can be…

Systems and Control · Electrical Eng. & Systems 2020-08-17 Chen Yang , Xi Lin , Meng Li , Fang He

This paper presents a new class of one-dimensional (1D) traffic models with look-ahead rules that take into account of two effects: nonlocal slow-down effect and right-skewed non-concave asymmetry in the fundamental diagram. The proposed 1D…

Cellular Automata and Lattice Gases · Physics 2020-01-29 Yi Sun , Changhui Tan

City traffic is a dynamic system of enormous complexity. Modeling and predicting city traffic flow remains to be a challenge task and the main difficulties are how to specify the supply and demands and how to parameterize the model. In this…

Other Computer Science · Computer Science 2016-12-09 Yucheng Hu , Minwei Li , Hao Liu , Xiaolu Guo , Xiaowei Wang , Tiejun Li

We study a model for freeway traffic which includes strong noise taking into account the fluctuations of individual driving behavior. The model shows emergent traffic jams with a self-similar appearance near the throughput maximum of the…

Condensed Matter · Physics 2009-10-22 K. Nagel

This contribution summarizes and explains various principles from physics which are used for the simulation of traffic flows in large street networks, the modeling of destination, transport mode, and route choice, or the simulation of urban…

Physics and Society · Physics 2015-06-17 Dirk Helbing , Kai Nagel

We present a method to derive macroscopic fluid-dynamic models from microscopic car-following models via a coarse-graining procedure. The method is first demonstrated for the optimal velocity model. The derived macroscopic model consists of…

Statistical Mechanics · Physics 2009-11-07 H. K. Lee , H. -W. Lee , D. Kim

We propose a microscopic traffic model where the update velocity is determined by the deceleration capacity and response time. It is found that there is a class of collisions that cannot be distinguished by simply comparing the stop…

Statistical Mechanics · Physics 2015-05-15 Hyun Keun Lee , Jeenu Kim , Youngho Kim , Choong-Ki Lee

Vehicle trajectories can offer the most precise and detailed depiction of traffic flow and serve as a critical component in traffic management and control applications. Various technologies have been applied to reconstruct vehicle…

Optimization and Control · Mathematics 2023-06-12 Xuejian Chen , Guoyang Qin , Toru Seo , Ye Tian , Jian Sun

We investigate a microscopical structure in a chain of cars waiting at a red signal on signal-controlled crossroads. Presented is an one-dimensional space-continuous thermodynamical model leading to an excellent agreement with the data…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Milan Krbalek

We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis showing that the implicitly defined coarse-level time…

Dynamical Systems · Mathematics 2015-08-03 Christian Marschler , Jan Sieber , Rainer Berkemer , Atsushi Kawamoto , Jens Starke

Microscopic traffic models describe how cars interact with their neighbors in an uninterrupted traffic flow and are frequently used for reference in advanced vehicle control design. In this paper, we propose a novel mechanical system…

Systems and Control · Computer Science 2019-03-12 Zhaojian Li , Firas Khasawneh , Xiang Yin , Aoxue Li , Ziyou Song

A flow of moving agents can be observed at different scales. Thus, in traffic modeling, three levels are generally considered: the micro, meso and macro levels, representing respectively the interactions between vehicles, groups of vehicles…

Multiagent Systems · Computer Science 2014-01-28 Hassane Abouaïssa , Yoann Kubera , Gildas Morvan

The essential distinction between the fundamental diagram approach and three-phase theory is the existence of the unique space-gap-speed relationship. In order to verify this relationship, empirical data are analyzed with the following…

Cellular Automata and Lattice Gases · Physics 2016-08-11 Jun-fang Tian , Martin Treiber , Bin Jia , Wen-yi Zhang

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

Urban traffic regulation policies are increasingly used to address congestion, emissions, and accessibility in cities, yet their impacts are difficult to assess due to the socio-technical complexity of urban mobility systems. Recent…

Computers and Society · Computer Science 2026-03-13 Arianna Burzacchi , Marco Pistore

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

Space-time visualizations of macroscopic or microscopic traffic variables is a qualitative tool used by traffic engineers to understand and analyze different aspects of road traffic dynamics. We present a deep learning method to learn the…

Machine Learning · Computer Science 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez