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A driving algorithm that aligns with good human driving practices, or at the very least collaborates effectively with human drivers, is crucial for developing safe and efficient autonomous vehicles. In practice, two main approaches are…

多智能体系统 · 计算机科学 2026-02-10 Zhihao Zhang , Keith Redmill , Chengyang Peng , Bowen Weng

Car-Following is a broadly studied state of driving, and many modeling approaches through various heuristics and engineering methods have been proposed. Congestion is a common traffic phenomenon also widely investigated, both from…

物理与社会 · 物理学 2025-11-25 Huaidian Hou , Arpan Kusari , Brian T. W. Lin

The Intelligent Driver Model (IDM), proposed in 2000, has become a foundational tool in traffic flow modeling, renowned for its simplicity, computational efficiency, and ability to capture diverse traffic dynamics. Over the past 25 years,…

物理与社会 · 物理学 2025-11-25 Shirui Zhou , Shiteng Zheng , Junfang Tian , Rui Jiang , and H. M. Zhang

Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design,…

理论经济学 · 经济学 2025-10-07 Shawn Berry

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

系统与控制 · 电气工程与系统科学 2026-03-11 Wuping Xin

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

物理与社会 · 物理学 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

Traffic microsimulation is a crucial tool that uses microscopic traffic models, such as car-following and lane-change models, to simulate the trajectories of individual agents. This digital platform allows for the assessment of the impact…

应用统计 · 统计学 2024-10-01 Yanbing Wang , Felipe de Souza , Dominik Karbowski

The continual evolution of autonomous driving technology requires car-following models that can adapt to diverse and dynamic traffic environments. Traditional learning-based models often suffer from performance degradation when encountering…

机器学习 · 计算机科学 2024-07-22 Xianda Chen , PakHin Tiu , Xu Han , Junjie Chen , Yuanfei Wu , Xinhu Zheng , Meixin Zhu

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…

数值分析 · 数学 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

无序系统与神经网络 · 物理学 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

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,…

适应与自组织系统 · 物理学 2020-03-18 Manit Klawtanong , Surachate Limkumnerd

The fundamental diagram is an assumed functional relationship between traffic flow and traffic density. In practice, this relationship is noisy and exhibits significant statistical variability. On smart motorways, this variability is…

计算机与社会 · 计算机科学 2019-03-14 Kieran Kalair , Colm Connaughton

Density fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density of temporal density fluctuations at a…

chao-dyn · 物理学 2009-10-28 S. Yukawa , M. Kikuchi

We study the problem of traffic forecasting, aiming to predict the inflow and outflow of a region in the subsequent time slot. The problem is complex due to the intricate spatial and temporal interdependence among regions. Prior works study…

人工智能 · 计算机科学 2025-11-12 Zheng Chenghong , Zongyin Deng , Liu Cheng , Xiong Simin , Di Deshi , Li Guanyao

We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on measuring only the initial and final positions of a small number of cars which are generated using…

动力系统 · 数学 2026-02-13 Nail Baloul , Amaury Hayat , Thibault Liard , Pierre Lissy

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

最优化与控制 · 数学 2010-02-11 Nadir Farhi

Day-to-day traffic dynamics are widely used to model flow evolution due to travelers' learning and adjustment behavior, yet empirical analysis of these models often relies on descriptive calibration with limited inferential content. This…

最优化与控制 · 数学 2026-05-05 Minghui Wu , Yafeng Yin , Jerome P. Lynch , Zhichen Liu

We introduce microscopic and macroscopic stochastic traffic models including traffic accidents. The microscopic model is based on a Follow-the-Leader approach whereas the macroscopic model is described by a scalar conservation law with…

概率论 · 数学 2021-11-19 Simone Göttlich , Thomas Schillinger

Modeling car-following behavior is fundamental to microscopic traffic simulation, yet traditional deterministic models often fail to capture the full extent of variability and unpredictability in human driving. While many modern approaches…

应用统计 · 统计学 2026-01-30 Chengyuan Zhang , Zhengbing He , Cathy Wu , Lijun Sun

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

数学物理 · 物理学 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin