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Optimal paths connecting randomly selected network nodes and fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion. Routing becomes increasingly more difficult as the number of selected…

无序系统与神经网络 · 物理学 2012-05-15 Chi Ho Yeung , David Saad

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…

机器学习 · 计算机科学 2021-05-27 Chang Liu , Guanjie Zheng , Zhenhui Li

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…

网络与互联网体系结构 · 计算机科学 2017-09-04 Saeed Akhoondian Amiri , Klaus-Tycho Foerster , Riko Jacob , Stefan Schmid

In routing games, agents pick their routes through a network to minimize their own delay. A primary concern for the network designer in routing games is the average agent delay at equilibrium. A number of methods to control this average…

计算机科学与博弈论 · 计算机科学 2013-11-12 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman

Paths are important structural elements in complex networks because they are finite (unlike walks), related to effective node coverage (minimum spanning trees), and can be understood as being dual to star connectivity. This article…

物理与社会 · 物理学 2007-12-05 Luciano da Fontoura Costa

Path finding is a well-studied problem in AI, which is often framed as graph search. Any-angle path finding is a technique that augments the initial graph with additional edges to build shorter paths to the goal. Indeed, optimal algorithms…

人工智能 · 计算机科学 2021-04-15 Konstantin Yakovlev , Anton Andreychuk

Consider planning a trip in a train network. In contrast to, say, a road network, the edges are temporal, i.e., they are only available at certain times. Another important difficulty is that trains, unfortunately, sometimes get delayed.…

数据结构与算法 · 计算机科学 2022-01-14 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

We study a novel graph path planning problem for multiple agents that may crash at runtime, and block part of the workspace. In our setting, agents can detect neighboring crashed agents, and change followed paths at runtime. The objective…

机器人学 · 计算机科学 2022-11-28 Keisuke Okumura , Sébastien Tixeuil

Deterministic routing has emerged as a promising technology for future non-terrestrial networks (NTNs), offering the potential to enhance service performance and optimize resource utilization. However, the dynamic nature of network topology…

网络与互联网体系结构 · 计算机科学 2024-01-24 Keyi Shi , Jingchao Wang , Hongyan Li , Kan Wang

This paper studies online shortest path routing over multi-hop networks. Link costs or delays are time-varying and modeled by independent and identically distributed random processes, whose parameters are initially unknown. The parameters,…

网络与互联网体系结构 · 计算机科学 2017-01-19 M. Sadegh Talebi , Zhenhua Zou , Richard Combes , Alexandre Proutiere , Mikael Johansson

We study a natural online variant of the replacement path problem. The \textit{replacement path problem} asks to find for a given graph $G = (V,E)$, two designated vertices $s,t\in V$ and a shortest $s$-$t$ path $P$ in $G$, a…

数据结构与算法 · 计算机科学 2012-06-27 David Adjiashvili , Marco Senatore

Computing paths in graph structures is a fundamental operation in a wide range of applications, from transportation networks to data analysis. The beer path problem, which captures the option of visiting points of interest, such as gas…

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

数据结构与算法 · 计算机科学 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

This paper seeks to solve the long-term transmission expansion planning problem more effectively by reducing the solution search space and the computational effort. The proposed methodology finds and adds cutting planes based on structural…

最优化与控制 · 数学 2019-10-07 J. Kyle Skolfield , Laura M. Escobar , Adolfo R. Escobedo

In this paper we study a property of time-dependent graphs, dubbed path ranking invariance. Broadly speaking, a time-dependent graph is path ranking invariant if the ordering of its paths (w.r.t. travel time) is independent of the start…

离散数学 · 计算机科学 2023-01-05 Tommaso Adamo , Gianpaolo Ghiani , Emanuela Guerriero

Graphs are fundamental objects that find widespread applications across computer science and beyond. Graph Theory has yielded deep insights about structural properties of various families of graphs, which are leveraged in the design and…

数据结构与算法 · 计算机科学 2023-08-30 Rachit Nimavat

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

离散数学 · 计算机科学 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

This paper considers the recently popular beyond-worst-case algorithm analysis model which integrates machine-learned predictions with online algorithm design. We consider the online Steiner tree problem in this model for both directed and…

机器学习 · 计算机科学 2023-03-21 Chenyang Xu , Benjamin Moseley

We introduce the notion of a network's conduciveness, a probabilistically interpretable measure of how the network's structure allows it to be conducive to roaming agents, in certain conditions, from one portion of the network to another.…

统计力学 · 物理学 2010-07-12 Valmir C. Barbosa

The task of finding an extension to a given partial drawing of a graph while adhering to constraints on the representation has been extensively studied in the literature, with well-known results providing efficient algorithms for…

计算几何 · 计算机科学 2023-02-21 Sujoy Bhore , Robert Ganian , Liana Khazaliya , Fabrizio Montecchiani , Martin Nöllenburg