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Microscopic traffic flow models can be distinguished in lane-based or lane-free depending on the degree of lane-discipline. This distinction holds true only if motorcycles are neglected in lane-based traffic. In cities, as opposed to…

Social and Information Networks · Computer Science 2022-10-26 Georg Anagnostopoulos , Nikolas Geroliminis

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

Facing the congestion challenges of mixed road networks comprising expressways and arterial road networks, traditional control solutions fall short. To effectively alleviate traffic congestion in mixed road networks, it is crucial to clear…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Yunran Di , Haotian Shi , Weihua Zhang , Heng Ding , Xiaoyan Zheng , Bin Ran

In this paper we study coordinated multipath routing at the flow-level in networks with routes of length one. As a first step the static case is considered, in which the number of flows is fixed. A clustering pattern in the rate allocation…

Optimization and Control · Mathematics 2009-10-27 Sarah Lilienthal , Michel Mandjes

In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consider a Boltzmann-like framework with only binary…

Numerical Analysis · Mathematics 2017-02-22 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

In this paper, urban traffic is modeled using dual graph representation of urban transportation network where roads are mapped to nodes and intersections are mapped to links. The proposed model considers both the navigation of vehicles on…

Physics and Society · Physics 2009-11-13 Mao-Bin Hu , Rui Jiang , Yong-Hong Wu , Wen-Xu Wang , Qing-Song Wu

We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters.…

Numerical Analysis · Mathematics 2022-09-08 Jan Friedrich , Simone Göttlich , Maximilian Osztfalk

The random nature of traffic conditions on freeways can cause excessive congestions and irregularities in the traffic flow. Ramp metering is a proven effective method to maintain freeway efficiency under various traffic conditions. Creating…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Anahita Sanandaji , Saeed Ghanbartehrani , Zahra Mokhtari , Kimia Tajik

We study the phase diagram of the continuum traffic flow model of a highway with an on-ramp. Using an open boundary condition, traffic states and metastabilities are investigated numerically for several representative values of the upstream…

Statistical Mechanics · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

Macroscopic link-based flow models are efficient for simulating flow propagation in urban road networks. Existing link-based flow models described traffic states of a link with two state variables of link inflow and outflow and assumed…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Lei Wei , S. Travis Waller , Yu Mei , Peng Chen , Yunpeng Wang , Meng Wang

Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes,…

Statistical Mechanics · Physics 2023-11-17 Andreas Leich , Ronald Nippold , Andreas Schadschneider , Peter Wagner

Second order macroscopic traffic flow models are able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially lower than the maximum achievable flow. Within this work, we…

Physics and Society · Physics 2021-06-29 Jennifer Weißen , Oliver Kolb , Simone Göttlich

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

Statistical Mechanics · Physics 2007-05-23 Bernardo A. Huberman , Dirk Helbing

We present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

Statistical Mechanics · Physics 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

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

The aim of ramp metering is to improve the highway traffic conditions by an appropriate regulation of the inflow from the on-ramps to the highway mainstream. Our presentation rests on several improvements: 1) Our simulation techniques do…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Cédric Join , Hassane Abouaïssa , Michel Fliess

To develop the most appropriate control strategy and monitor, maintain, and evaluate the traffic performance of the freeway weaving areas, state and local Departments of Transportation need to have access to traffic flows at each pair of…

Machine Learning · Computer Science 2023-08-08 Xiaobo Ma , Abolfazl Karimpour , Yao-Jan Wu

We study the traffic flow on a highway with ramps through numerical simulations of a hydrodynamic traffic flow model. It is found that the presence of the external vehicle flux through ramps generates a new state of recurring humps (RH).…

Statistical Mechanics · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

The traffic assignment problem is essential for traffic flow analysis, traditionally solved using mathematical programs under the Equilibrium principle. These methods become computationally prohibitive for large-scale networks due to…

Machine Learning · Computer Science 2026-04-28 Mostafa Ameli , Sulthana Shams , Van Anh Le , Alexander Skabardonis

This study proposes a hybrid model based on Transformers, named MSCMHMST, aimed at addressing key challenges in traffic flow prediction. Traditional single-method approaches show limitations in traffic prediction tasks, whereas hybrid…

Machine Learning · Computer Science 2025-03-19 Weiyang Geng , Yiming Pan , Zhecong Xing , Dongyu Liu , Rui Liu , Yuan Zhu