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Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of equations: in certain…

Numerical Analysis · Mathematics 2015-03-13 Raul Borsche , Axel Klar , Mark Kimathi

Newtonian gravity can be regarded as a hypothetic-deductive system where the inverse square law is the starting point from which gravitational phenomena are deduced. This operational form of presenting gravity endorses problem solving and…

History and Philosophy of Physics · Physics 2019-06-12 Joao A M Pereira

Urban systems are composed by complex couplings of several components, and more particularly between the built environment and transportation networks. Their interaction is involved in the emergence of the urban form. We propose in this…

Physics and Society · Physics 2018-12-03 Juste Raimbault

Population mobility can be studied readily and cheaply using cellphone data, since people's mobility can be approximately mapped into tower-mobile registries. We model people moving in a grid-like city, where edges of the grid are weighted…

Physics and Society · Physics 2023-03-03 Andy Rodriguez Lorenzo , Alejandro Lage-Castellanos

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

We report the statistical properties of three bus-transport networks (BTN) in three different cities of China. These networks are composed of a set of bus lines and stations serviced by these. Network properties, including the degree…

Physics and Society · Physics 2009-11-13 Xinping Xu , Junhui Hu , Feng Liu , Lianshou Liu

We use complex network concepts to analyze statistical properties of urban public transport networks (PTN). To this end, we present a comprehensive survey of the statistical properties of PTNs based on the data of fourteen cities of so far…

Physics and Society · Physics 2015-07-02 C. von Ferber , T. Holovatch , Yu. Holovatch , V. Palchykov

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

Statistical Mechanics · Physics 2015-06-24 A. De Martino , M. Marsili , R. Mulet

We present a simple model reproducing the long-range autocorrelations and the power spectrum of the web traffic. The model assumes the traffic as Poisson flow of files with size distributed according to the power-law. In this model the…

Networking and Internet Architecture · Computer Science 2007-05-23 V. Gontis , B. Kaulakys , J. Ruseckas

This paper proposes a imitation learning model for autonomous driving on highway traffic by mimicking human drivers' driving behaviours. The study utilizes the HighD traffic dataset, which is complex, high-dimensional, and diverse in…

Robotics · Computer Science 2024-03-08 Mustafa Yildirim , Saber Fallah

The main contribution reported in the paper is a novel paradigm through which mobile cellular traffic forecasting is made substantially more accurate. Specifically, by incorporating freely available road metrics we characterise the data…

Machine Learning · Computer Science 2023-05-25 Natalia Vassileva Vesselinova

The structure and evolution of Terrestrial Transportation Infrastructures (TTIs) are shaped by both socio-political and geographical factors, hence encoding crucial information about how resources and power are distributed through a…

Physics and Society · Physics 2021-09-29 Luce Prignano , Lluc Font-Pomarol , Ignacio Morer , Sergi Lozano

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle…

Condensed Matter · Physics 2009-10-22 Satoshi Yukawa , Macoto Kikuchi

In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson process and packet sizes (hence service…

Probability · Mathematics 2015-08-28 Wanyang Dai

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

This study identifies the limitations and underlying characteristics of urban mobility networks that influence the performance of the gravity model. The gravity model is a widely-used approach for estimating and predicting population flows…

Physics and Society · Physics 2021-09-10 Chiawei Hsu , Chao Fan , Ali Mostafavi

The intrinsic factor that drives the human movement remains unclear for decades. While our observations from intra-urban and inter-urban trips both demonstrate a universal law in human mobility. Be specific, the probability from one…

Physics and Society · Physics 2014-01-17 Xiao Liang , Jichang Zhao , Ke Xu

General Theory of Relativity and Quantum theory gives two different description of the same mother nature in the big and small scale respectively. Mathematical languages of these two theories are entirely different, one is geometric while…

General Physics · Physics 2020-05-11 Sijo K. Joseph

Deterministic equilibrium flows in transport networks can be investigated by means of Markov's processes defined on the dual graph representations of the network. Sustained movement patterns are generated by a subset of automorphisms of the…

Physics and Society · Physics 2007-10-30 D. Volchenkov , Ph. Blanchard

We derive a modular fluid-flow network congestion control model based on a law of fundamental nature in networks: the conservation of information. Network elements such as queues, users, and transmission channels and network performance…

Networking and Internet Architecture · Computer Science 2016-11-18 C. Briat , E. A. Yavuz , H. Hjalmarsson , K. H. Johansson , U. T. Jönsson , G. Karlsson , H. Sandberg
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