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In this paper, we focus on the different traffic flow models that exist in literature. Due to our frequently encountered confusion among traffic engineers and policy makers, this paper goes into more detail about transportation planning…

Physics and Society · Physics 2009-09-29 Sven Maerivoet , Bart De Moor

How to enhance the communication efficiency and quality on vehicular networks is one critical important issue. While with the larger and larger scale of vehicular networks in dense cities, the real-world datasets show that the vehicular…

Networking and Internet Architecture · Computer Science 2020-08-05 Jingjing Wang , Chunxiao Jiang , Longxiang Gao , Shui Yu , Zhu Han , Yong Ren

We consider two variational models for transport networks, an urban planning and a branched transport model, in which the degree of network complexity and ramification is governed by a small parameter $\varepsilon>0$. Smaller $\varepsilon$…

Classical Analysis and ODEs · Mathematics 2017-11-16 Alessio Brancolini , Benedikt Wirth

Cities can be seen as the epitome of complex systems. They arise from a set of interactions and components so diverse that is almost impossible to describe them exhaustively. Amid this diversity, we chose an object which orchestrates the…

Physics and Society · Physics 2015-12-07 Claire Lagesse

Structure and dynamics of complex networks usually deal with degree distributions, clustering, shortest path lengths and other graph properties. Although these concepts have been analysed for graphs on abstract spaces, many networks happen…

Statistical Mechanics · Physics 2009-11-13 M. O. Hase , J. F. F. Mendes

We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set $S$ of nodes of a prescribed cardinality, we add a new node that is adjacent to…

Discrete Mathematics · Computer Science 2020-02-21 Anthony Bonato , Erin Meger

Spatial dependency and spatial embedding are basic physical properties of many phenomena modeled by networks. The most indicated computational environment to deal with spatial information is to use Georeferenced Information System (GIS) and…

In this paper we analyse the street network of London both in its primary and dual representation. To understand its properties, we consider three idealised models based on a grid, a static random planar graph and a growing random planar…

Data Analysis, Statistics and Probability · Physics 2009-09-07 A. P. Masucci , D. Smith , A. Crooks , M. Batty

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Urban road networks are typical complex systems, which are crucial to our society and economy. In this study, topological characteristics of a number of urban road networks based on purely physical roads rather than routes of vehicles or…

Physics and Society · Physics 2019-07-30 Wen-Long Shang , Huibo Bi , Yanyan Chen , Washington Ochieng

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

Discrete Mathematics · Computer Science 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

Air transportation has been becoming a major part of transportation infrastructure worldwide. Hence the study of the Airports Networks, the backbone of air transportation, is becoming increasingly important. In complex systems domain,…

Physics and Society · Physics 2008-05-08 Ganesh Bagler

In view of the fact that routing algorithms are network layer entities and the varying performance of any routing algorithm depends on the underlying networks. Localized routing algorithms avoid the problems associated with the maintenance…

Networking and Internet Architecture · Computer Science 2011-03-18 Abdulbaset H. Mohammad

This paper introduces a new approach to hybrid traffic modeling, along with its implementation in software. The software allows modelers to assign traffic models to individual links in a network. Each model implements a series of methods,…

Mathematical Software · Computer Science 2019-08-13 Gabriel Gomes

What does a typical road network look like? Existing generative models tend to focus on one aspect to the exclusion of others. We introduce the general-purpose \emph{quadtree model} and analyze its shortest paths and maximum flow.

Discrete Mathematics · Computer Science 2011-01-28 David Eisenstat

Urban road networks have distinct geometric properties that are partially determined by their (quasi-) two-dimensional structure. In this work, we study these properties for 20 of the largest German cities. We find that the small-scale…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Sonic H. Y. Chan , Reik V. Donner , Stefan Lämmer

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

Machine Learning · Computer Science 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

The topic of this paper is the presentation of a new network model designed for networks consisting of spatial objects. This model allows the development of more advance representations of systems of networked objects and the study of…

Data Structures and Algorithms · Computer Science 2021-12-14 Panteleimon Rodis

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

Physics and Society · Physics 2019-05-22 David Aldous , Marc Barthelemy