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It is very important to understand urban mobility patterns because most trips are concentrated in urban areas. In the paper, a new model is proposed to model collective human mobility in urban areas. The model can be applied to predict…

Physics and Society · Physics 2014-10-28 Xiao Liang , Jichang Zhao , Li Dong , Ke Xu

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

Random walks represent an important tool for probing the structural and dynamical properties of networks and modeling transport and diffusion processes on networks. However, when individuals' movement becomes dictated by more complicated…

Pattern Formation and Solitons · Physics 2022-11-24 Per Sebastian Skardal

The behaviour of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable…

Physics and Society · Physics 2012-09-25 Bertrand Berche , Christian von Ferber , Taras Holovatch , Yurij Holovatch

The emergence of interconnected urban networks is a crucial feature of globalisation processes. Understanding the drivers behind the growth of such networks - in particular urban firm networks -, is essential for the economic resilience of…

Physics and Society · Physics 2020-09-14 Juste Raimbault , Natalia Zdanowska , Elsa Arcaute

Urban transportation systems grow over time as city populations grow and move and their transportation needs evolve. Typical network growth models, such as preferential attachment, grow the network node by node whereas rail and metro…

Physics and Society · Physics 2012-02-16 Daniel E. Whitney

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

Social and Information Networks · Computer Science 2017-09-21 Tiago P. Peixoto , Martin Rosvall

Understanding the dynamics of road networks has theoretical implications for urban science and practical applications for sustainable long-term planning. Various generative models to explain road network growth have been introduced in the…

Physics and Society · Physics 2021-10-01 Juste Raimbault

The recent availability of data for cities has allowed scientists to exhibit scalings which present themselves in the form of a power-law dependence with population of various socio-economical and structural indicators. We propose here a…

Physics and Society · Physics 2014-07-18 Rémi Louf , Marc Barthelemy

The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to…

We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that set, we show that large regular road networks can be easily…

Optimization and Control · Mathematics 2014-06-27 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

The map of a city's streets constitutes a particular case of spatial complex network. However a city is not limited to its topology: it is above all a geometrical object whose particularity is to organize into short and long axes called…

Physics and Society · Physics 2011-06-03 Thomas Courtat , Catherine Gloaguen , Stéphane Douady

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

Human mobility is a fundamental process underpinning socioeconomic life and urban structure. Classic theories, such as egocentric activity spaces and central place theory, provide crucial insights into specific facets of movement, like…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao

Cities are structured by roads. Having up to date and detailed maps of these is thus an important challenge for urban planing, civil engineering and transportation. Those maps are traditionally created manually, which represents a massive…

Computational Engineering, Finance, and Science · Computer Science 2018-01-23 Remi Cura , Julien Perret , Nicolas Paparoditis

Motivated by empirical evidence on the interplay between geography, population density and societal interaction, we propose a generative process for the evolution of social structure in cities. Our analytical and simulation results predict…

Physics and Society · Physics 2013-06-12 Wei Pan , Gourab Ghoshal , Coco Krumme , Manuel Cebrian , Alex Pentland

We extend stochastic network optimization theory to treat networks with arbitrary sample paths for arrivals, channels, and mobility. The network can experience unexpected link or node failures, traffic bursts, and topology changes, and…

Optimization and Control · Mathematics 2010-01-07 Michael J. Neely

In this paper we aim to demonstrate how physical perspective enriches usual statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public…

Physics and Society · Physics 2020-03-24 Yaryna Korduba , Yurij Holovatch , Robin de Regt

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Understanding the behavior of road users is of vital importance for the development of trajectory prediction systems. In this context, the latest advances have focused on recurrent structures, establishing the social interaction between the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 A. Quintanar , D. Fernández-Llorca , I. Parra , R. Izquierdo , M. A. Sotelo