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This paper analyzes the time-dependent relationship between the mean and variance of travel time on a single corridor under rush hour like congestion patterns. To model this phenomenon, we apply the LWR ((Lighthill & Whitham, 1955),…

Physics and Society · Physics 2025-08-28 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Using a stochastic cellular automaton model for urban traffic flow, we study and compare Macroscopic Fundamental Diagrams (MFDs) of arterial road networks governed by different types of adaptive traffic signal systems, under various…

Cellular Automata and Lattice Gases · Physics 2013-02-19 Lele Zhang , Timothy M. Garoni , Jan de Gier

This study develops a dynamic fundamental diagram (FD) framework tailored to mixed traffic environments comprising automated vehicles (AVs) and human-driven vehicles (HDVs). Describing function analysis is employed to derive approximate…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Jiwan Jiang , Soyoung Ahn

It is shown that the branch of the empirical fundamental diagram for congested traffic strongly depends both on the type of the congested pattern at a freeway bottleneck and on the freeway location where the fundamental diagram is measured.…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner

Starting from a second-order linear differential equation, we analyze the dynamical mechanisms of no behavior pattern (pure response), reaction and anticipation behaviors in traffic. As an emergence of the underlying dynamical evolution,…

Physics and Society · Physics 2026-01-27 Jinghui Wang , Wei Lv

Capacity drop is an empirically observed phenomenon in vehicular traffic flow on freeways whereby, after a critical density is reached, a state of congestion sets in, but the freeway does not become decongested again until the density drops…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Michael Enqi Cao , Gustav Nilsson , Samuel Coogan

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

This paper develops boundary control for freeway traffic with a downstream bottleneck. Traffic on a freeway segment with capacity drop at outlet of the segment is a common phenomenon leading to traffic bottleneck problem. The capacity drop…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Shumon Koga , Tiago Roux Oliveira , Miroslav Krstic

Major cities worldwide experience problems with the performance of their road transportation networks, and the continuous increase in traffic demand presents a substantial challenge to the optimal operation of urban road networks and the…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Linghang Sun , Yifan Zhang , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas , Michail A. Makridis

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

Physics and Society · Physics 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

Congestion; operational delays due to a vicious circle of passenger-congestion and train-queuing; is an escalating problem for metro systems because it has negative consequences from passenger discomfort to eventual mode-shifts. Congestion…

Applications · Statistics 2022-02-16 Anupriya , Daniel J. Graham , Prateek Bansal , Daniel Hörcher , Richard Anderson

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

Rush hour and sustained traffic flows in eight cities are studied using the IBM Mega Traffic Simulator to understand the importance of road structures and vehicle acceleration in the prevention of gridlock. Individual cars among the tens of…

Physics and Society · Physics 2024-01-03 Bruce G. Elmegreen , Tayfun Gokmen , Biruk Habtemariam

In large-scale traffic optimization, models based on Macroscopic Fundamental Diagram (MFD) are recognized for their efficiency in broad network analyses. However, they fail to reflect variations in the individual traffic status of each road…

Machine Learning · Computer Science 2025-05-20 Zhixiong Jin , Dimitrios Tsitsokas , Nikolas Geroliminis , Ludovic Leclercq

We study minimum-energy pathways (MEPs) between the branches of metastable helical structures in chiral nematic liquid crystals (CNLCs)subjected to the electric field applied across the cell. By performing stability analysis we have found…

Soft Condensed Matter · Physics 2020-11-05 Semen S. Tenishchev , Ivan M. Tambovtcev , Alexei D. Kiselev , Valery M. Uzdin

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · Physics 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

This article presents an interdisciplinary study of physical and social psychological effects on crowd dynamics based on a series of bottleneck experiments. Bottlenecks are of particular interest for applications such as crowd management…

Physics and Society · Physics 2020-07-14 Juliane Adrian , Armin Seyfried , Anna Sieben

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic,…

Statistical Mechanics · Physics 2007-05-23 M. Antoni , R. Cafiero

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He

The quantitative study of traffic dynamics is crucial to ensure the efficiency of urban transportation networks. The current work investigates the spatial properties of congestion, that is, we aim to characterize the city areas where…

Physics and Society · Physics 2023-01-02 Aniello Lampo , Javier Borge-Holthoefer , Sergio Gómez , Albert Solé-Ribalta
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