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Traffic forecasting is crucial for public safety and resource optimization, yet is very challenging due to three aspects: i) current existing works mostly exploit intricate temporal patterns (e.g., the short-term thunderstorm and long-term…

Machine Learning · Computer Science 2022-01-19 Yuchen Fang , Yanjun Qin , Haiyong Luo , Fang Zhao , Bingbing Xu , Chenxing Wang , Liang Zeng

Internet traffic continues to grow relentlessly, driven largely by increasingly high resolution video content. Although studies have shown that the majority of packets processed by Internet routers are pass-through traffic, they nonetheless…

Networking and Internet Architecture · Computer Science 2019-05-23 Ping Yin , Steven Diamond , Bill Lin , Stephen Boyd

Priority-aware networks-on-chip (NoCs) are used in industry to achieve predictable latency under different workload conditions. These NoCs incorporate deflection routing to minimize queuing resources within routers and achieve low latency…

Performance · Computer Science 2020-11-10 Sumit K. Mandal , Anish Krishnakumar , Raid Ayoub , Michael Kishinevsky , Umit Y. Ogras

Traffic routing is vital for the proper functioning of the Internet. As users and network traffic increase, researchers try to develop adaptive and intelligent routing algorithms that can fulfill various QoS requirements. Reinforcement…

Networking and Internet Architecture · Computer Science 2024-09-24 Wang Wumian , Sajal Saha , Anwar Haque , Greg Sidebottom

We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties…

Condensed Matter · Physics 2009-10-22 M. Schreckenberg , A. Schadschneider , K. Nagel , N. Ito

We present a new fluid-dynamical model of traffic flow. This model generalizes the model of Aw and Rascle [SIAM J. Appl. Math. 60 916-938] and Greenberg [SIAM J. Appl. Math 62 729-745] by prescribing a more general source term to the…

Statistical Mechanics · Physics 2007-05-23 Florian Siebel , Wolfram Mauser

Network Diversion is a graph problem that has been extensively studied in both the network-analysis and operations-research communities as a measure of how robust a network is against adversarial disruption. This problem is especially well…

Data Structures and Algorithms · Computer Science 2025-02-25 Matthias Bentert , Pål Grønås Drange , Fedor V. Fomin , Steinar Simonnes

Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle…

Condensed Matter · Physics 2009-10-22 Satoshi Yukawa , Macoto Kikuchi

In this paper, we investigate the problem of routing, rebalancing, and charging for electric autonomous mobility-on-demand systems concerning traffic congestion. We analyze the problem at the macroscopical level and use a volume-delay…

Optimization and Control · Mathematics 2022-06-14 Heeseung Bang , Andreas A. Malikopoulos

We present a new flow-based formulation for identical parallel machine scheduling with a regular objective function and without idle time. The formulation is constructed with the help of a decision diagram that represents all job sequences…

Discrete Mathematics · Computer Science 2022-10-06 Daniel Kowalczyk , Roel Leus , Christopher Hojny , Stefan Røpke

This study develops an original and innovative matrix representation with respect to the information flow for networked multi-agent system. To begin with, the general concepts of the edge Laplacian of digraph are proposed with its algebraic…

Systems and Control · Computer Science 2015-02-25 Zhiwen Zeng , Xiangke Wang , Zhiqiang Zheng

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2013-03-20 J. Wei , A. J. van der Schaft

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

Machine Learning · Statistics 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen

In this paper we study local routing strategies on geometric graphs. Such strategies use geometric properties of the graph like the coordinates of the current and target nodes to route. Specifically, we study routing strategies in the…

Computational Geometry · Computer Science 2021-02-10 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

We give an $\widetilde{O}({m^{3/2 - 1/762} \log (U+W))}$ time algorithm for minimum cost flow with capacities bounded by $U$ and costs bounded by $W$. For sparse graphs with general capacities, this is the first algorithm to improve over…

Data Structures and Algorithms · Computer Science 2021-11-22 Kyriakos Axiotis , Aleksander Mądry , Adrian Vladu

In this paper, we formulate the Load Flow (LF) problem in radial electricity distribution networks as an unconstrained Riemannian optimization problem, consisting of two manifolds, and we consider alternative retractions and initialization…

Optimization and Control · Mathematics 2020-04-09 M. Heidarifar , P. Andrianesis , M. C. Caramanis

In this paper, we consider the interpretability of the foundational Laplacian-based semi-supervised learning approaches on graphs. We introduce a novel flow-based learning framework that subsumes the foundational approaches and additionally…

Machine Learning · Statistics 2019-01-14 Raif M. Rustamov , James T. Klosowski

We propose a family of lagged random walk sampling methods in simple undirected graphs, where transition to the next state (i.e. node) depends on both the current and previous states -- hence, lagged. The existing random walk sampling…

Statistics Theory · Mathematics 2022-05-16 Li-Chun Zhang

A recent study characterizing failures in computer networks shows that transient single element (node/link) failures are the dominant failures in large communication networks like the Internet. Thus, having the routing paths globally…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-11 Amit M. Bhosle , Teofilo F. Gonzalez