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In this paper, we propose a paradigm for processing in parallel graph joins in road networks. The methodology we present can be used for distance join processing among the elements of two disjoint sets R,S of nodes from the road network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-27 George Tsatsanifos

We propose an approximate solver for multi-medium Riemann problems with materials described by a family of general Mie-Gr\"uneisen equations of state, which are widely used in practical applications. The solver provides the interface…

Numerical Analysis · Mathematics 2018-04-24 Li Chen , Ruo Li , Chengbao Yao

This paper presents a mixed traffic control policy designed to optimize traffic efficiency across diverse road topologies, addressing issues of congestion prevalent in urban environments. A model-free reinforcement learning (RL) approach is…

Robotics · Computer Science 2025-01-29 Chuyang Xiao , Dawei Wang , Xinzheng Tang , Jia Pan , Yuexin Ma

This paper deals with the construction of a discontinuous Galerkin scheme for the solution of Lighthill-Whitham-Richards traffic flows on networks. The focus of the paper is the construction of two new numerical fluxes at junctions, which…

Numerical Analysis · Mathematics 2023-01-10 Lukáš Vacek , Václav Kučera

Based on experimental traffic data obtained from German and US highways, we propose a novel two-dimensional first-order macroscopic traffic flow model. The goal is to reproduce a detailed description of traffic dynamics for the real road…

Physics and Society · Physics 2017-11-10 Michael Herty , Adrian Fazekas , Giuseppe Visconti

In [Bianco, L., Giuseppe C., and P. Reverberi. 2001. "A network based model for traffic sensor location with implications on O/D matrix estimates". Transportation Science 35(1):50-60.], the authors present the Sensor Location Problem: that…

Optimization and Control · Mathematics 2023-09-28 David R. Morrison , Susan E. Martonosi

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

In backbone networks, it is fundamental to quickly protect traffic against any unexpected event, such as failures or congestions, which may impact Quality of Service (QoS). Standard solutions based on Segment Routing (SR), such as…

Discrete Mathematics · Computer Science 2024-05-01 Sébastien Martin , Youcef Magnouche , Paolo Medagliani , Jérémie Leguay

Delivering hard delay guarantees over packet networks is increasingly important to applications ranging from automotive systems, avionics, industrial control, etc. Traffic control and schedulers play an essential role in enforcing such…

Networking and Internet Architecture · Computer Science 2026-04-29 Jiaming Qiu , Roch Guerin

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

In this paper, we address the problem of optimizing flows on generalized graphs that feature multiple entry points and multiple populations, each with varying cost structures. We tackle this problem by considering the multi-population…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Tigran Bakaryan , Christoph Aoun , Ricardo de Lima Ribeiro , Naira Hovakimyan , Diogo Gomes

This article presents a novel resolution to the problem of spline interpolation versus least-squares fitting on smooth Riemannian manifolds utilizing the method of gradient flows of networks. This approach represents a contribution to both…

Optimization and Control · Mathematics 2024-05-30 Chun-Chi Lin , The Dung Tran

Planning collision-free paths for multi-robot systems (MRS) is a challenging problem because of the safety and efficiency constraints required for real-world solutions. Even though coupled path planning approaches provide optimal…

Robotics · Computer Science 2021-01-07 Aditya Rathi , Rohith G , Madhu Vadali

Ineffective and inflexible traffic signal control at urban intersections can often lead to bottlenecks in traffic flows and cause congestion, delay, and environmental problems. How to manage traffic smartly by intelligent signal control is…

Systems and Control · Computer Science 2019-05-21 Mengyu Guo , Pin Wang , Ching-Yao Chan , Sid Askary

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

We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold within the higher-dimensional ambient space, we aim to…

Machine Learning · Statistics 2019-04-02 Zhigang Yao , Zhenyue Zhang

Urban traffic congestion remains a critical challenge in modern cities, with traffic signal control systems often struggling to manage congestion during peak travel times. Perimeter control of a Protected Network (PN) has emerged as a…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Alexander Roocroft , Marco Rinaldi

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derive a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model is…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

In this paper, we are motivated by two important applications: entropy-regularized optimal transport problem and road or IP traffic demand matrix estimation by entropy model. Both of them include solving a special type of optimization…

Optimization and Control · Mathematics 2017-09-27 Pavel Dvurechensky , Alexander Gasnikov , Sergey Omelchenko , Alexander Tiurin

The continuous expansion of the urban traffic sensing infrastructure has led to a surge in the volume of widely available road related data. Consequently, increasing effort is being dedicated to the creation of intelligent transportation…

Neural and Evolutionary Computing · Computer Science 2020-02-17 Alina Patelli , Victoria Lush , Aniko Ekart , Elisabeth Ilie-Zudor