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In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

数值分析 · 数学 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

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…

社会与信息网络 · 计算机科学 2022-10-26 Georg Anagnostopoulos , Nikolas Geroliminis

This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has…

物理与社会 · 物理学 2025-09-09 Matteo Piu , Giuseppe Visconti , Gabriella Puppo

We present a macroscopic model of mixed multi-lane freeway traffic that can be easily calibrated to empirical traffic data, as is shown for Dutch highway data. The model is derived from a gas-kinetic level of description, including effects…

统计力学 · 物理学 2009-10-31 Vladimir Shvetsov , Dirk Helbing

In this paper we propose two models describing the dynamics of heavy and light vehicles on a road network, taking into account the interactions between the two classes. The models are tailored for two-lane highways where heavy vehicles…

动力系统 · 数学 2021-05-25 Maya Briani , Emiliano Cristiani , Paolo Ranut

Lane changing is one of the most common maneuvers on motorways. Although, macroscopic traffic models are well known for their suitability to describe fast moving crowded traffic, most of these models are generally developed in one…

数值分析 · 数学 2019-03-20 Michael Herty , Salissou Moutari , Giuseppe Visconti

Through the development of a microscopic deterministic model in the framework of three-phase traffic theory, microscopic features of vehicle overacceleration, which determines the occurrence of the metastability of free traffic flow at a…

物理与社会 · 物理学 2025-04-22 Boris S. Kerner , Sergey L. Klenov

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…

统计力学 · 物理学 2009-10-31 Dirk Helbing

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

物理与社会 · 物理学 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the…

经典分析与常微分方程 · 数学 2023-12-05 Matteo Piu , Gabriella Puppo

Cycling is a green transportation mode, and is promoted by many governments to mitigate traffic congestion. However, studies concerning the traffic dynamics of bicycle flow are very limited. This study experimentally investigated bicycle…

适应与自组织系统 · 物理学 2019-04-15 Ning Guo , Rui Jiang , SC Wong , Qing-Yi Hao , Shu-Qi Xue , Mao-Bin Hu

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

物理与社会 · 物理学 2023-08-15 Jeremy Worsfold , Tim Rogers

The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of…

偏微分方程分析 · 数学 2023-12-04 Matteo Piu , Michael Herty , Gabriella Puppo

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

数学物理 · 物理学 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

计算物理 · 物理学 2007-05-23 Federico Polito , Fergal Dalton

We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

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…

数值分析 · 数学 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

统计力学 · 物理学 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

物理与社会 · 物理学 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

统计力学 · 物理学 2015-06-25 Dirk Helbing
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