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Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

Numerical Analysis · Mathematics 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlenecks---properly controlled---can actually be beneficial for…

Physics and Society · Physics 2017-02-28 Rabie A. Ramadan , Benjamin Seibold

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

Systems and Control · Computer Science 2017-11-30 Dragoslav D. Šiljak

We consider a single server queue that serves a finite population of $n$ customers that will enter the queue (require service) only once, also known as the $\Delta_{(i)}/G/1$ queue. This paper presents a method for analyzing heavy-traffic…

Probability · Mathematics 2015-12-01 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

Wirelessly connected vehicles that exchange information about traffic conditions can reduce delays caused by congestion. At a 2-to-1 lane reduction, the improvement in flow past a bottleneck due to traffic with a random mixture of 40%…

Physics and Society · Physics 2016-03-23 L. C. Davis

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

This paper presents a macroscopic fundamental diagram model with volume-delay relationship (MFD-VD) for road traffic networks, by exploring two new data sources: license plate cameras (LPCs) and road congestion indices (RCIs). We derive a…

Physics and Society · Physics 2024-02-09 Ke Han , Tao Huang , Wenbo Fan , Qian Ge , Shihui Dong , Xuting Wang

In this study, we formulate the VSL control problem for the traffic system in a zone upstream to a lane-drop bottleneck based on two traffic flow models: the Lighthill-Whitham-Richards (LWR) model, which is an infinite-dimensional partial…

Optimization and Control · Mathematics 2013-10-11 Hui-Yu Jin , Wen-Long Jin

Due to the stochastic nature of departure operations, working at full capacity makes major US airports very sensitive to uncertainties. Consequently, airport ground operations face critically congested taxiways and long runway queues. In…

Other Computer Science · Computer Science 2008-07-08 Pierrick Burgain , Eric Feron , John-Paul Clarke

A system of identical cars on a single-lane road is treated as a microcanonical and canonical ensemble. Behaviour of the cars is characterized by the probability of car velocity as a function of distance and velocity of the car ahead. The…

Physics and Society · Physics 2007-05-23 Anton Šurda

Regenerative braking (RB) significantly influences electric vehicle (EV) car-following (CF) dynamics, yet traditional traffic-flow models rarely capture these effects. We introduce a comprehensive empirical dataset comprising 197.5 hours of…

Physics and Society · Physics 2025-08-06 Yuhang Wang , Md. Zidan Shahriar , Hao Zhou

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

We study the connection between transport phenomenon and escape rate statistics in two-dimensional standard map. For the purpose of having an open phase space, we let the momentum co-ordinate vary freely and restrict only angle with…

Statistical Mechanics · Physics 2020-10-07 L. Lugosi , T. Kovács

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

A multi--cluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends only on the cluster size, the dynamics of the model is…

Statistical Mechanics · Physics 2009-11-11 J. Kaupuzs , R. Mahnke , R. J. Harris

Traffic assignment is a core component of many urban transport planning tools. It is used to determine how traffic is distributed over a transportation network. We study the task of computing traffic assignments for public transport: Given…

Data Structures and Algorithms · Computer Science 2024-08-13 Julian Patzner , Matthias Müller-Hannemann

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

Statistical Mechanics · Physics 2009-11-10 Boris S. Kerner

We demonstrate that a supply-chain level compromise of the adaptive cruise control (ACC) capability on equipped vehicles can be used to significantly degrade system level performance of current day mixed-autonomy freeway networks. Via a…

Cryptography and Security · Computer Science 2021-12-23 George Gunter , Huichen Li , Avesta Hojjati , Matthew Nice , Matthew Bunting , Carl A. Gunter , Bo Li , Jonathan Sprinkle , Daniel Work

Aiming at the problem of driver's perception lag and low utilization efficiency of space-time resources in expressway ramp confluence area, based on the preemptive spatiotemporal trajectory Adjustment system, from the perspective of…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Yuan Li , Xiaoxue Xu , Xiang Dong , Junfeng Hao , Tao Li , Sana Ullaha , Chuangrui Huang , Junjie Niu , Ziyan Zhao , Ting Peng
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