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Many problems in computational geometry are not stated in graph-theoretic terms, but can be solved efficiently by constructing an auxiliary graph and performing a graph-theoretic algorithm on it. Often, the efficiency of the algorithm…

Computational Geometry · Computer Science 2009-08-28 David Eppstein

This paper studies real-world road networks from an algorithmic perspective, focusing on empirical studies that yield useful properties of road networks that can be exploited in the design of fast algorithms that deal with geographic data.…

Computational Geometry · Computer Science 2009-05-14 David Eppstein , Michael T. Goodrich

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

This paper will contribute to a practical problem, Urban Traffic. We will investigate those features, try to simplify the complexity and formulize this dynamic system. These contents mainly contain how to analyze a decision problem with…

Data Structures and Algorithms · Computer Science 2015-09-17 Yong Tan

Connectivity and layout of underlying networks largely determine the behavior of many environments. For example, transportation networks determine the flow of traffic in cities, or maps determine the difficulty and flow in games. Designing…

Computational Geometry · Computer Science 2015-11-02 Chi-Han Peng , Niloy J. Mitra , Fan Bao , Dong-Ming Yan , Peter Wonka

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

The Vehicle Routing Problem is about optimizing the routes of vehicles to meet the needs of customers at specific locations. The route graph consists of depots on several levels and customer positions. Several optimization methods have been…

Artificial Intelligence · Computer Science 2024-09-18 László Kovács , Ali Jlidi

In recent years, various deep learning architectures have been proposed to solve complex challenges (e.g. spatial dependency, temporal dependency) in traffic domain, which have achieved satisfactory performance. These architectures are…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Jiexia Ye , Juanjuan Zhao , Kejiang Ye , Chengzhong Xu

In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

Data Structures and Algorithms · Computer Science 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

Designing networks with specified collective properties is useful in a variety of application areas, enabling the study of how given properties affect the behavior of network models, the downscaling of empirical networks to workable sizes,…

Optimization and Control · Mathematics 2017-06-20 Chrysanthos E. Gounaris , Karthikeyan Rajendran , Ioannis G. Kevrekidis , Christodoulos A. Floudas

One of the most important combinatorial optimization problems is graph coloring. There are several variations of this problem involving additional constraints either on vertices or edges. They constitute models for real applications, such…

Data Structures and Algorithms · Computer Science 2016-06-17 Rosiane de Freitas , Bruno Dias , Nelson Maculan , Jayme Szwarcfiter

We study an important practical aspect of the route planning problem in real-world road networks -- maneuvers. Informally, maneuvers represent various irregularities of the road network graph such as turn-prohibitions, traffic light delays,…

Data Structures and Algorithms · Computer Science 2011-11-07 Petr Hlineny , Ondrej Moris

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

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

The heavy traffic and related issues have always been concerns for modern cities. With the help of deep learning and reinforcement learning, people have proposed various policies to solve these traffic-related problems, such as smart…

Machine Learning · Computer Science 2021-05-27 Chang Liu , Guanjie Zheng , Zhenhui Li

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

Modern computer networks support interesting new routing models in which traffic flows from a source s to a destination t can be flexibly steered through a sequence of waypoints, such as (hardware) middleboxes or (virtualized) network…

Networking and Internet Architecture · Computer Science 2017-09-04 Saeed Akhoondian Amiri , Klaus-Tycho Foerster , Riko Jacob , Stefan Schmid

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

Motivated by the fact that intelligent traffic control systems have become inevitable demand to cope with the risk of traffic congestion in urban areas, this paper develops a distributed control strategy for urban traffic networks. Since…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Viet Hoang Pham , Kazunori Sakurama , Shaoshuai Mou , Hyo-Sung Ahn
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