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Related papers: Delay of Vehicle Motion in Traffic Dynamics

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A simple one-dimensional spring-block model elaborated for the idealized single-lane highway traffic reveals the causes for the emergence of traffic jams. Based on the stop-time statistics of one car in the row, an order parameter is…

Physics and Society · Physics 2011-11-09 Ferenc Jarai-Szabo , Zoltan Neda

We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Lax-Friedrich and Hilliges-Weidlich…

Analysis of PDEs · Mathematics 2024-04-17 Ilaria Ciaramaglia , Paola Goatin , Gabriella Puppo

This paper analyzes the use of variable speed limits to optimize travel time reliability for commuters. The investigation focuses on a traffic corridor with a bottleneck subject to the capacity drop phenomenon. The optimization criterion is…

Optimization and Control · Mathematics 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Vehicle bypassing is known to negatively affect delays at traffic diverges. However, due to the complexities of this phenomenon, accurate and yet simple models of such lane change maneuvers are hard to develop. In this work, we present a…

Computer Science and Game Theory · Computer Science 2018-09-11 Negar Mehr , Ruolin Li , Roberto Horowitz

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

We describe a method to model nonlinear dynamical systems using periodic solutions of delay-differential equations. We show that any finite-time trajectory of a nonlinear dynamical system can be loaded approximately into the initial…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Alexander N. Jourjine

Public transport systems are expected to reduce pollution and contribute to sustainable development. However, disruptions in public transport such as delays may negatively affect mobility choices. To quantify delays, aggregated data from…

Machine Learning · Computer Science 2024-04-12 Przemysław Wrona , Maciej Grzenda , Marcin Luckner

The need to accurately estimate the speed of road vehicles is becoming increasingly important for at least two main reasons. First, the number of speed cameras installed worldwide has been growing in recent years, as the introduction and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 David Fernández Llorca , Antonio Hernández Martínez , Iván García Daza

We consider the follow-the-leader model for traffic flow. The position of each car $z_i(t)$ satisfies an ordinary differential equation, whose speed depends only on the relative position $z_{i+1}(t)$ of the car ahead. Each car perceives a…

Analysis of PDEs · Mathematics 2017-12-20 Wen Shen , Karim Shikh-Khalil

Originally, the decision and control of the lane change of the vehicle were on the human driver. In previous studies, the decision-making of lane-changing of the human drivers was mainly used to increase the individual's benefit. However,…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Seongjin Choi

In this paper a scheduling policy is presented which minimizes the average delay of the users. The scheduling scheme is investigated both by analysis and simulations carried out in the context of Orthogonal Frequency Division Multiplexing…

Information Theory · Computer Science 2011-11-09 Chan Zhou , Gerhard Wunder

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady…

Cellular Automata and Lattice Gases · Physics 2015-03-23 Junfang Tian , Bin Jia , Shoufeng Ma , Chenqiang Zhu , Rui Jiang , YaoXian Ding

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

Systems and Control · Computer Science 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Autonomous driving systems require real-time environmental perception to ensure user safety and experience. Streaming perception is a task of reporting the current state of the world, which is used to evaluate the delay and accuracy of…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Yihui Huang , Ningjiang Chen

Long-term traffic flow forecasting plays a crucial role in intelligent transportation as it allows traffic managers to adjust their decisions in advance. However, the problem is challenging due to spatio-temporal correlations and complex…

Machine Learning · Computer Science 2024-08-14 Zibo Liu , Zhe Jiang , Shigang Chen

We consider optimizing average queueing delay and average power consumption in a nonpreemptive multi-class M/G/1 queue with dynamic power control that affects instantaneous service rates. Four problems are studied: (1) satisfying per-class…

Optimization and Control · Mathematics 2011-01-17 Chih-ping Li , Michael J. Neely

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration $a(t)$ is held approximately constant for a certain time interval, followed by a jump to a new acceleration.…

Statistical Mechanics · Physics 2007-05-23 Peter Wagner , Ihor Lubashevsky

We study dynamic traffic assignment with side-constraints. We first give a counter-example to a key result from the literature regarding the existence of dynamic equilibria for volume-constrained traffic models in the classical edge-delay…

Optimization and Control · Mathematics 2024-09-17 Lukas Graf , Tobias Harks