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We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

Recent years have witnessed an explosion of extensive geolocated datasets related to human movement, enabling scientists to quantitatively study individual and collective mobility patterns, and to generate models that can capture and…

The growth of urban areas intensifies the need for sustainable, efficient transportation infrastructure and mobility systems, driving initiatives to enhance infrastructure and public transit while reducing traffic congestion and emissions.…

Physics and Society · Physics 2026-04-17 Oluwaleke Yusuf , Adil Rasheed , Frank Lindseth

We study the emergence of congestion patterns in urban networks by modeling vehicular interaction by means of a simple traffic rule and by using a set of measures inspired by the standard Betweenness Centrality (BC). We consider a…

Physics and Society · Physics 2022-07-25 Marco Cogoni , Giovanni Busonera , Francesco Versaci

Optimizing passengers routes is crucial to design efficient transportation networks. Recent results show that optimal transport provides an efficient alternative to standard optimization methods. However, it is not yet clear if this…

Physics and Society · Physics 2022-05-19 Alessandro Lonardi , Mario Putti , Caterina De Bacco

Getting good statistical models of traffic on network links is a well-known, often-studied problem. A lot of attention has been given to correlation patterns and flow duration. The distribution of the amount of traffic per unit time is an…

Networking and Internet Architecture · Computer Science 2021-02-26 Mohammed Alasmar , Richard Clegg , Nickolay Zakhleniuk , George Parisis

By introducing a simple model based on two-dimensional cellular automata, we reveal the relationship between the routing strategies of individual vehicles and the global behavior of transportation networks. Specifically, we characterize the…

Physics and Society · Physics 2019-07-31 Tak Shing Tai , Chi Ho Yeung

The optimal solution of an inter-city passenger transport network has been studied using Zipf's law for the city populations and the Gravity law describing the fluxes of inter-city passenger traffic. Assuming a fixed value for the cost of…

Physics and Society · Physics 2009-09-16 A. K. Nandi , K. Bhattacharya , S. S. Manna

For all line-based transit systems like bus, metro and tram, the routes of the lines and the frequencies at which they are operated are determining for the operational performance of the system. However, as transit line planning happens…

Optimization and Control · Mathematics 2024-05-17 Marie Schmidt , Anita Schöbel

Recent seminal works on human mobility have shown that individuals constantly exploit a small set of repeatedly visited locations. A concurrent literature has emphasized the explorative nature of human behavior, showing that the number of…

Physics and Society · Physics 2018-06-20 Laura Alessandretti , Piotr Sapiezynski , Vedran Sekara , Sune Lehmann , Andrea Baronchelli

In the field of urban planning, road network system planning is often the first step and the main purpose of urban planning is to create a spatial configuration of different functions such as residence, education, business, etc. Generally…

Physics and Society · Physics 2022-11-04 Huidan Xiao , Tao Yang

Nowadays, human movement in urban spaces can be traced digitally in many cases. It can be observed that movement patterns are not constant, but vary across time and space. In this work,we characterize such spatio-temporal patterns with an…

Social and Information Networks · Computer Science 2016-02-11 Lisette Espín-Noboa , Florian Lemmerich , Philipp Singer , Markus Strohmaier

New mobility concepts are at the forefront of research and innovation in smart cities. The introduction of connected and autonomous vehicles enables new possibilities in vehicle routing. Specifically, knowing the origin and destination of…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Brionna Davis , Grace Jennings , Taylor Pothast , Ilias Gerostathopoulos , Evangelos Pournaras , Raphael E. Stern

The current science of cities can provide a useful foundation for future urban policies, provided that these proposals have been validated by correct observations of the diversity of situations in the world. However, international…

Physics and Society · Physics 2020-05-21 Juste Raimbault , Eric Denis , Denise Pumain

Recent theoretical and empirical studies have focused on the structural properties of complex relational networks in social, biological and technological systems. Here we study the basic properties of twenty 1-square-mile samples of street…

Physics and Society · Physics 2009-11-11 Alessio Cardillo , Salvatore Scellato , Vito Latora , Sergio Porta

Road congestion induces significant costs across the world, and road network disturbances, such as traffic accidents, can cause highly congested traffic patterns. If a planner had control over the routing of all vehicles in the network,…

Optimization and Control · Mathematics 2021-06-07 Daniel A. Lazar , Erdem Bıyık , Dorsa Sadigh , Ramtin Pedarsani

A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population,…

Physics and Society · Physics 2025-08-11 Kangning Huang , Mingzhen Lu

This chapter examines the possibility to analyze and compare human activities in an urban environment based on the detection of mobile phone usage patterns. Thanks to an unprecedented collection of counter data recording the number of…

Physics and Society · Physics 2014-06-18 S. Grauwin , S. Sobolevsky , S. Moritz , I. Gódor , C. Ratti

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

The expansion of global electricity distribution systems necessitates the deployment of massive infrastructure. Assessing its implications from a spatial and material perspective requires an understanding of the core drivers of a…

Physics and Society · Physics 2026-02-17 Emile Emery , Joseph Le Bihan , José Halloy