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相关论文: PDE Traffic Observer Validated on Freeway Data

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We study an ordinary differential equation (ODE) arising as the many-server heavy-traffic fluid limit of a sequence of overloaded Markovian queueing models with two customer classes and two service pools. The system, known as the X model in…

概率论 · 数学 2010-08-10 Ohad Perry , Ward Whitt

This dissertation proposes two solutions for urban traffic control in the presence of connected and automated vehicles. First a centralized platoon-based controller is proposed for the cooperative intersection management problem that takes…

机器学习 · 计算机科学 2020-12-11 Masoud Bashiri

Partial differential equation (PDE) foundation models are pretrained networks that forecast how physical fields like velocity and pressure evolve from a single reusable solver. On unfamiliar flows their predictions drift step by step,…

机器学习 · 计算机科学 2026-05-26 Chengze Li , Lingwei Wei , Li Sun , Hongbo Lv , Jie Yang , Hanrong Zhang , Kening Zheng , Wei-Chieh Huang , Enze Ma , Philip S. Yu

In a previous study, we presented VT-Lane, a three-step framework for real-time vehicle detection, tracking, and turn movement classification at urban intersections. In this study, we present a case study incorporating the highly accurate…

计算机视觉与模式识别 · 计算机科学 2021-11-02 Awad Abdelhalim , Montasir Abbas , Bhavi Bharat Kotha , Alfred Wicks

This paper introduces an optimization problem (P) and a solution strategy to design variable-speed-limit controls for a highway that is subject to traffic congestion and uncertain vehicle arrival and departure. By employing a finite…

最优化与控制 · 数学 2020-09-08 Dan Li , Dariush Fooladivanda , Sonia Martinez

This paper offers a finite-state abstraction of traffic coordination and congestion in a network of interconnected roads (NOIR). By applying mass conservation, we model traffic coordination as a Markov process. Model Predictive Control…

系统与控制 · 电气工程与系统科学 2021-01-21 Hossein Rastgoftar , Jean-Baptiste Jeannin

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

Accurate estimation of the vehicle's sideslip angle and tire forces is essential for enhancing safety and handling performances in unknown driving scenarios. To this end, the present paper proposes an innovative observer that combines a…

系统与控制 · 电气工程与系统科学 2026-03-24 Luigi Romano , Ole Morten Aamo , Jan Åslund , Erik Frisk

Microscopic traffic simulation provides a controllable, repeatable, and efficient testing environment for autonomous vehicles (AVs). To evaluate AVs' safety performance unbiasedly, the probability distributions of environment statistics in…

系统与控制 · 电气工程与系统科学 2022-07-05 Xintao Yan , Shuo Feng , Haowei Sun , Henry X. Liu

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…

偏微分方程分析 · 数学 2021-08-16 Wancheng Sheng , Qinglong Zhang

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic…

数值分析 · 数学 2016-12-13 Florent Berthelin , Thierry Goudon , Bastien Polizzi , Magali Ribot

Advancement of mobile technologies has enabled economical collection, storage, processing, and sharing of traffic data. These data are made accessible to intended users through various application program interfaces (API) and can be used to…

物理与社会 · 物理学 2022-05-04 Sumit Mishra , Vishal Singh , Ankit Gupta , Devanjan Bhattacharya , Abhisek Mudgal

This paper presents a traffic state estimation (TSE) method in congestion for distributed fiber-optic sensing (DFOS). DFOS detects vehicle driving vibrations along the optical fiber and obtains their trajectories in the spatiotemporal…

系统与控制 · 电气工程与系统科学 2025-09-01 Yoshiyuki Yajima , Hemant Prasad , Daisuke Ikefuji , Hitoshi Sakurai , Manabu Otani

Urban traffic congestion significantly impacts regional air quality and contributes substantially to pollutant emissions. Suburban freeway corridors are a major source of traffic-related emissions, particularly nitrogen oxides (NOx) and…

最优化与控制 · 数学 2025-06-17 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

We develop a novel multi-layer predictor-feedback to achieve exact compensation of state-dependent input delay of general nonlinear integro-differential equations. The system of interest is an unconventional mixed Partial Differential…

最优化与控制 · 数学 2026-04-09 Tong Li , Peipei Shang , Mamadou Diagne

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

最优化与控制 · 数学 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

In this paper, the problem of distributed state estimation of human-driven vehicles (HDVs) by connected autonomous vehicles (CAVs) is investigated in mixed traffic transportation systems. Toward this, a distributed observable state-space…

系统与控制 · 电气工程与系统科学 2025-11-11 M. Doostmohammadian , U. A. Khan , N. Meskin

In an age of ever-increasing penetration of GPS-enabled mobile devices, the potential of real-time "probe" location information for estimating the state of transportation networks is receiving increasing attention. Much work has been done…

系统与控制 · 计算机科学 2017-09-25 Matthew Wright , Roberto Horowitz

We develop a backstepping-based observer design for a class of ODE - continuum-PDE cascade systems, which can be viewed as the limit, of a finite collection of ODE - $2 \times 2$ hyperbolic systems, as the number of individual PDE system…

最优化与控制 · 数学 2026-05-12 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

We discuss a nonlocal version of the Generalized Aw-Rascle-Zhang model, a second-order vehicular traffic model where the empty road velocity is a Lagrangian marker governed by a transport equation. The evolution of the car density is…

偏微分方程分析 · 数学 2025-05-16 Elio Marconi , Laura V. Spinolo