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The level of air quality in urban centres is affected by emission of several pollutants, mainly coming from the vehicles flowing in their road networks. This is a well known phenomenon that influences the quality of life of people. Despite…

Fluid Dynamics · Physics 2011-02-02 P. Ferrante , D. Lo Bosco , S. Nicolosi , G. Scaccianoce , M. Traverso , G. Rizzo

Air pollution in cities and the possibilities of reducing this pollution represents one of the most important factors that today's society has to deal with. This paper focuses on a systemic approach to traffic emissions with their relation…

Artificial Intelligence · Computer Science 2025-09-16 V. Benes , M. Svitek , A. Michalikova , M. Melicherik

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

In this paper a method is proposed for performance evaluation of road traffic control systems. The method is designed to be implemented in an on-line simulation environment, which enables optimisation of adaptive traffic control strategies.…

Artificial Intelligence · Computer Science 2011-12-20 Bartłomiej Płaczek

The societal impact of traffic is a long-standing and complex problem. We focus on the estimation of ozone production due to vehicular traffic. For this, we couple a system of conservation laws for vehicular traffic, an emission model, and…

Numerical Analysis · Mathematics 2020-10-27 Caterina Balzotti , Maya Briani , Barbara De Filippo , Benedetto Piccoli

Transportation Problem is an important aspect which has been widely studied in Operations Research domain. It has been studied to simulate different real life problems. In particular, application of this Problem in NP- Hard Problems has a…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automaton and the Burgers equation, as special cases. We show that…

Pattern Formation and Solitons · Physics 2020-04-14 Kohei Higashi , Junkichi Satsuma , Tetsuji Tokihiro

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by…

Analysis of PDEs · Mathematics 2026-04-29 Akbota Senkebayeva

We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present some intuition to invent adequate and natural models having…

Probability · Mathematics 2011-10-24 V. A. Malyshev , A. A. Zamyatin

This paper introduces a fuzzy cellular model of road traffic that was intended for on-line applications in traffic control. The presented model uses fuzzy sets theory to deal with uncertainty of both input data and simulation results.…

Emerging Technologies · Computer Science 2015-03-19 Bartłomiej Płaczek

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles…

Condensed Matter · Physics 2009-10-31 Bing-Hong Wang , Lei Wang , P. M. Hui , Bambi Hu

Traffic is the chief puzzle problem which every country faces because of the enhancement in number of vehicles throughout the world, especially in large urban towns. Hence the need arises for simulating and optimizing traffic control…

Artificial Intelligence · Computer Science 2014-05-06 Mohit Jha , Shailja Shukla

From single vehicle data a number of new empirical results concerning the density-dependence of the velocity distribution and its moments as well as the characteristics of their temporal fluctuations have been determined. These are utilized…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

To gain essential understandings of traffic flow, four theorems are derived to establish the kinematics of the basic unit of traffic flow, namely two consecutive vehicles. The first is to determine the two critical distances of the vehicle…

Physics and Society · Physics 2022-12-21 Xin Shui

In this paper, a useful reinterpretation of the city as a porous medium justifies the application of well-known models on fluid dynamics to develop a multi-model study of urban air pollution due to traffic flow in a large city. Thus, to…

Numerical Analysis · Mathematics 2025-02-21 N. Garcia-Chan , L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

Recently the traffic related problems have become strategically important, due to the continuously increasing vehicle number. As a result, microscopic simulation software has become an efficient method in traffic engineering for its…

Other Computer Science · Computer Science 2014-08-01 Yuhan Jia , Jianping Wu , Yiman Du , Geqi Qi

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

Other Condensed Matter · Physics 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following…

Physics and Society · Physics 2025-12-04 Raphael Korbmacher , Parthib Khound , Antoine Tordeux , Frank Gronwald
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