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A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for…

Systems and Control · Computer Science 2017-11-23 Ian R. Manchester

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

The goal of this project is to introduce and present a machine learning application that aims to improve the quality of life of people in Singapore. In particular, we investigate the use of machine learning solutions to tackle the problem…

Machine Learning · Computer Science 2018-09-06 Julian Nubert , Nicholas Giai Truong , Abel Lim , Herbert Ilhan Tanujaya , Leah Lim , Mai Anh Vu

As a dynamical complex system, traffic is characterized by a transition from free flow to congestions, which is mostly studied in highways. However, despite its importance in developing congestion mitigation strategies, the understanding of…

Physics and Society · Physics 2015-12-02 Feilong Wang , Daqing Li , Xiaoyun Xu , Ruoqian Wu , Shlomo Havlin

Highway capacity is often subject to stochastic perturbations due to the combined effects of weather, traffic mixture, driver behavior, etc. This paper is motivated by the need of a systematic approach to traffic control with performance…

Optimization and Control · Mathematics 2022-03-11 Yu Tang , Li Jin , Alexander A. Kurzhanskiy , Saurabh Amin

The unreal high flows may appear on the actually congested links in the result when a monotonically increasing link travel time function of flow volume is adopted in traffic assignment. The fixed link flow results of a static traffic…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Shengxue He

Accurate velocity estimation is key to vehicle control. While the literature describes how model-based and learning-based observers are able to estimate a vehicle's velocity in normal driving conditions, the challenge remains to estimate…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Marcus Nolte , Philip Polack , Arnaud de La Fortelle , Markus Maurer

Equilibrium modeling is common in a variety of fields such as game theory and transportation science. The inputs for these models, however, are often difficult to estimate, while their outputs, i.e., the equilibria they are meant to…

Optimization and Control · Mathematics 2014-05-20 Dimitris Bertsimas , Vishal Gupta , Ioannis Ch. Paschalidis

We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with…

Probability · Mathematics 2019-12-13 Simone Göttlich , Stephan Knapp

Intersections are essential road infrastructures for traffic in modern metropolises. However, they can also be the bottleneck of traffic flows as a result of traffic incidents or the absence of traffic coordination mechanisms such as…

Machine Learning · Computer Science 2024-11-05 Dawei Wang , Weizi Li , Lei Zhu , Jia Pan

The macroscopic traffic flow model is widely used for traffic control and management. To incorporate drivers' anticipative behaviors and to remove impractical speed discontinuity inherent in the classic Lighthill-Whitham-Richards (LWR)…

Machine Learning · Computer Science 2023-12-06 Chenguang Zhao , Huan Yu

In this paper, we introduce a new conservation-based approach to model traffic dynamics, and apply the model predictive control (MPC) approach to control the boundary traffic inflow and outflow, so that the traffic congestion is reduced. We…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Xun Liu , Hossein Rastgoftar

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…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Wuping Xin

A robust estimation of road course and traffic lanes is an essential part of environment perception for next generations of Advanced Driver Assistance Systems and development of self-driving vehicles. In this paper, a flexible method for…

Robotics · Computer Science 2017-06-07 Alexey Abramov , Christopher Bayer , Claudio Heller , Claudia Loy

We present a novel approach for traffic forecasting in urban traffic scenarios using a combination of spectral graph analysis and deep learning. We predict both the low-level information (future trajectories) as well as the high-level…

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are…

Networking and Internet Architecture · Computer Science 2021-12-20 Syed Muhammad Atif , Nicolas Gillis , Sameer Qazi , Imran Naseem

Mitigating traffic congestion on urban roads, with paramount importance in urban development and reduction of energy consumption and air pollution, depends on our ability to foresee road usage and traffic conditions pertaining to the…

Physics and Society · Physics 2018-04-27 Jingyuan Wang , Yu Mao , Jing Li , Chao Li , Zhang Xiong , Wen-Xu Wang

With rapid population growth and urban development, traffic congestion has become an inescapable issue, especially in large cities. Many congestion reduction strategies have been proposed in the past, ranging from roadway extension to…

Optimization and Control · Mathematics 2022-04-18 Ali Ghafelebashi , Meisam Razaviyayn , Maged Dessouky

Controlling and coordinating urban traffic flow through robot vehicles is emerging as a novel transportation paradigm for the future. While this approach garners growing attention from researchers and practitioners, effectively managing and…

Robotics · Computer Science 2023-11-21 Dawei Wang , Weizi Li , Jia Pan

In the modeling of traffic networks, a signalized junction is typically treated using a binary variable to model the on-and-off nature of signal operation. While accurate, the use of binary variables can cause problems when studying large…

Analysis of PDEs · Mathematics 2016-03-25 Ke Han , Vikash Gayah , Benedetto Piccoli , Terry L. Friesz , Tao Yao