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Understanding the mechanisms behind human mobility patterns is crucial to improve our ability to optimize and predict traffic flows. Two representative mobility models, i.e., radiation and gravity models, have been extensively compared to…

Physics and Society · Physics 2019-06-10 Inho Hong , Woo-Sung Jung , Hang-Hyun Jo

Models of social mobility inspired by the Newton's law of gravity have been used for several decades to describe migrations of people, goods, and information. Despite an eminent reference and widespread use, these models lack the background…

Physics and Society · Physics 2021-02-10 Kirill S. Glavatskiy

The era of the automobile has seriously degraded the quality of urban life through costly travel and visible environmental effects. A new urban planning paradigm must be at the heart of our roadmap for the years to come. The one where,…

Physics and Society · Physics 2020-07-20 Yanyan Xu , Luis E. Olmos , Sofiane Abbar , Marta C. Gonzalez

Recently, with the availability of various traffic datasets, human mobility has been studied in different contexts. Researchers attempt to understand the collective behaviors of human movement with respect to the spatio-temporal…

Physics and Society · Physics 2016-06-06 Biao Leng , Yali Cui , Jianyuan Wang , Zhang Xiong , Shlomo Havlin , Daqing Li

Most optimal routing problems focus on minimizing travel time or distance traveled. Oftentimes, a more useful objective is to maximize the probability of on-time arrival, which requires statistical distributions of travel times, rather than…

The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting species, stabilise them, and diversify gene pools [1-3].…

Statistical Mechanics · Physics 2009-11-11 D. Brockmann , L. Hufnagel , T. Geisel

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

Human traffic along roads can be a major vector for infectious diseases and invasive species. Though most road traffic is local, a small number of long-distance trips can suffice to move an invasion or disease front forward. Therefore,…

Physics and Society · Physics 2020-05-22 Samuel M. Fischer , Martina Beck , Leif-Matthias Herborg , Mark A. Lewis

Walking and cycling, commonly referred to as active travel, have become integral components of modern transport planning. Recently, there has been growing recognition of the substantial role that active travel can play in making cities more…

Physics and Society · Physics 2025-05-06 Ivann Schlosser , Valentina Marín Maureira , Richard Milton , Elsa Arcaute , Michael Batty

Recent research highlighted the scaling property of human and animal mobility. An interesting issue is that the exponents of scaling law for animals and humans in different situations are quite different. This paper proposes a general…

Biological Physics · Physics 2011-11-01 Yanqing Hu , Jiang Zhang , Di Huan , Zengru Di

Consider a graph $G = (V, E)$ and some commuters, each specified by a tuple $(u, v, b)$ consisting of two nodes in the graph $u, v \in V$ and a non-negative real number $b$, specifying their budget. The goal is to find a pricing function…

Data Structures and Algorithms · Computer Science 2025-02-18 Andrei Constantinescu , Andrzej Turko , Roger Wattenhofer

Navigation apps have become pervasive in providing real-time route recommendations to travelers willing to minimize their travel times. However, such technologies introduce new complexities, raising concerns about their overall impact on…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Tommaso Toso , Alain Y. Kibangou , Paolo Frasca

Getting insights on human mobility patterns and being able to reproduce them accurately is of the utmost importance in a wide range of applications from public health, to transport and urban planning. Still the relationship between the…

Physics and Society · Physics 2020-10-15 Maxime Lenormand , Juan Murillo Arias , Maxi San Miguel , José J. Ramasco

A case study of the Singapore road network provides empirical evidence that road pricing can significantly affect commuter trip timing behaviors. In this paper, we propose a model of trip timing decisions that reasonably matches the…

Computer Science and Game Theory · Computer Science 2012-08-23 Tichakorn Wongpiromsarn , Nan Xiao , Keyou You , Kai Sim , Lihua Xie , Emilio Frazzoli , Daniela Rus

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

Human mobility has a significant impact on several layers of society, from infrastructural planning and economics to the spread of diseases and crime. Representing the system as a complex network, in which nodes are assigned to regions…

Physics and Society · Physics 2019-08-14 Gabriel Spadon , Andre C. P. L. F. de Carvalho , Jose F. Rodrigues-Jr , Luiz G. A. Alves

We show that energy concepts can contribute to the understanding of human travel behaviour. First, the average travel times for different modes of transportation are inversely proportional to the energy consumption rates measured for the…

Statistical Mechanics · Physics 2009-11-10 Robert Koelbl , Dirk Helbing

The rise of location positioning technologies has generated enormous volumes of digital footprints. Translating this big data into understandable trip patterns plays a crucial role in estimating infrastructure demands. Previous studies were…

Computers and Society · Computer Science 2019-07-09 Bita Sadeghinasr , Armin Akhavan , Qi Wang

Human migration is a type of human mobility, where a trip involves a person moving with the intention of changing their home location. Predicting human migration as accurately as possible is important in city planning applications,…

Social and Information Networks · Computer Science 2017-11-16 Caleb Robinson , Bistra Dilkina

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

Machine Learning · Computer Science 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens