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The movements of individuals within and among cities influence critical aspects of our society, such as well-being, the spreading of epidemics, and the quality of the environment. When information about mobility flows is not available for a…

Machine Learning · Computer Science 2022-05-02 Filippo Simini , Gianni Barlacchi , Massimiliano Luca , Luca Pappalardo

We study diffusion of information packets on several classes of structured networks. Packets diffuse from a randomly chosen node to a specified destination in the network. As local transport rules we consider random diffusion and an…

Statistical Mechanics · Physics 2015-06-24 Bosiljka Tadic , Stefan Thurner

The gravity model (GM) analogous to Newton's law of universal gravitation has successfully described the flow between different spatial regions, such as human migration, traffic flows, international economic trades, etc. This simple but…

Physics and Society · Physics 2018-09-19 Hye Jin Park , Woo Seong Jo , Sang Hoon Lee , Beom Jun Kim

Recent statistical methods fitted on large-scale GPS data can provide accurate estimations of the expected travel time between two points. However, little is known about the distribution of travel time, which is key to decision-making…

Methodology · Statistics 2023-03-21 Mohamad Elmasri , Aurelie Labbe , Denis Larocque , Laurent Charlin

Understanding human mobility is crucial for applications such as forecasting epidemic spreading, planning transport infrastructure and urbanism in general. While, traditionally, mobility information has been collected via surveys, the…

Physics and Society · Physics 2019-09-02 Mattia Mazzoli , Alex Molas , Aleix Bassolas , Maxime Lenormand , Pere Colet , Jose J. Ramasco

From footpaths to flight routes, human mobility networks facilitate the spread of communicable diseases. Control and elimination efforts depend on characterizing these networks in terms of connections and flux rates of individuals between…

Populations and Evolution · Quantitative Biology 2016-01-29 Kyle B Gustafson , Basil S. Bayati , Philip A. Eckhoff

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra

In this paper we analyze the gravity model in the world passenger air-transport network. We show that in the standard form the model is inadequate to correctly describe the relationship between passenger flows and typical geo-economic…

Physics and Society · Physics 2016-11-28 Tomasz Ryczkowski , Agata Fronczak , Piotr Fronczak

Introduced in its contemporary form by George Kingsley Zipf in 1946, but with roots that go back to the work of Gaspard Monge in the 18th century, the gravity law is the prevailing framework to predict population movement, cargo shipping…

Physics and Society · Physics 2012-04-20 Filippo Simini , Marta C. González , Amos Maritan , Albert-László Barabási

This article studies the Greek interregional commuting network (GRN) by using measures and methods of complex network analysis and empirical techniques. The study aims to detect structural characteristics of the commuting phenomenon, which…

Physics and Society · Physics 2020-03-19 Dimitrios Tsiotas , Konstantinos Raptopoulos

In this paper, we extend some ideas of statistical physics to describe the properties of human mobility. From a physical point of view, we consider the statistical empirical laws of private cars mobility, taking advantage of a GPS database…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi

Identifying statistical patterns characterizing human trajectories is crucial for public health, traffic engineering, city planning, and epidemic modeling. Recent developments in global positioning systems and mobile phone networks have…

We discuss the distribution of commuting distances and its relation to income. Using data from Denmark, the UK, and the US, we show that the commuting distance is (i) broadly distributed with a slow decaying tail that can be fitted by a…

Physics and Society · Physics 2016-06-13 Giulia Carra , Ismir Mulalic , Mogens Fosgerau , Marc Barthelemy

This paper presents a dynamic routing guidance system that optimizes route recommendations for individual vehicles in an emerging transportation system while enhancing travelers' trip equity. We develop a framework to quantify trip quality…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Ting Bai , Anni Li , Gehui Xu , Christos G. Cassandras , Andreas A. Malikopoulos

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

The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

Physics and Society · Physics 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

Optimal transportation distances are valuable for comparing and analyzing probability distributions, but larger-scale computational techniques for the theoretically favorable quadratic case are limited to smooth domains or regularized…

Other Computer Science · Computer Science 2016-03-23 Justin Solomon , Raif Rustamov , Leonidas Guibas , Adrian Butscher

This work examines the fairness of generative mobility models, addressing the often overlooked dimension of equity in model performance across geographic regions. Predictive models built on crowd flow data are instrumental in understanding…

Machine Learning · Computer Science 2024-11-08 Daniel Wang , Jack McFarland , Afra Mashhadi , Ekin Ugurel

The article revisits spatial interaction and distance decay from the perspective of human mobility patterns and spatially-embedded networks based on an empirical data set. We extract nationwide inter-urban movements in China from a check-in…

Social and Information Networks · Computer Science 2015-04-01 Yu Liu , Zhengwei Sui , Chaogui Kang , Yong Gao

Traffic flow prediction is a big challenge for transportation authorities as it helps plan and develop better infrastructure. State-of-the-art models often struggle to consider the data in the best way possible, as well as intrinsic…

Machine Learning · Computer Science 2024-10-04 Mayur Patil , Qadeer Ahmed , Shawn Midlam-Mohler