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Routing games are used to to understand the impact of individual users' decisions on network efficiency. Most prior work on routing games uses a simplified model of network flow where all flow exists simultaneously, and users care about…

计算机科学与博弈论 · 计算机科学 2015-03-17 Umang Bhaskar , Lisa Fleischer , Elliot Anshelevich

This paper leverages the framework of algorithms-with-predictions to design data structures for two fundamental dynamic graph problems: incremental topological ordering and cycle detection. In these problems, the input is a directed graph…

数据结构与算法 · 计算机科学 2024-02-20 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

In this paper we study a long-haul truck scheduling problem where a path has to be determined for a vehicle traveling from a specified origin to a specified destination. We consider refueling decisions along the path, while accounting for…

最优化与控制 · 数学 2022-10-26 Claudia Archetti , Andrea Mor , Ola Jabali , Alberto Simonetto , M. Grazia Speranza

The Traveling Tournament Problem(TTP) is a combinatorial optimization problem where we have to give a scheduling algorithm which minimizes the total distance traveled by all the participating teams of a double round-robin tournament…

数据结构与算法 · 计算机科学 2021-09-21 Diptendu Chatterjee , Bimal Kumar Roy

A long standing open problem in extremal graph theory is to describe all graphs that maximize the number of induced copies of a path on four vertices. The character of the problem changes in the setting of oriented graphs, and becomes more…

组合数学 · 数学 2020-06-12 Ilkyoo Choi , Bernard Lidický , Florian Pfender

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

机器学习 · 计算机科学 2023-01-24 Xiuxian Li , Lihua Xie , Na Li

In this work, we consider the $k$-Canadian Traveller Problem ($k$-CTP) under the learning-augmented framework proposed by Lykouris & Vassilvitskii. $k$-CTP is a generalization of the shortest path problem, and involves a traveller who knows…

数据结构与算法 · 计算机科学 2022-09-23 Evripidis Bampis , Bruno Escoffier , Michalis Xefteris

In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

计算复杂性 · 计算机科学 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

This paper reviews the overview of the dynamic shortest path routing problem and the various neural networks to solve it. Different shortest path optimization problems can be solved by using various neural networks algorithms. The routing…

神经与进化计算 · 计算机科学 2010-06-01 R. Nallusamy , K. Duraiswamy

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

数据结构与算法 · 计算机科学 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

Modern navigation services often provide multiple paths connecting the same source and destination for users to select. Hence, ranking such paths becomes increasingly important, which directly affects the service quality. We present…

机器学习 · 计算机科学 2019-07-10 Sean Bin Yang , Bin Yang

Flows over time are used to model many real-world logistic and routing problems. The networks underlying such problems -- streets, tracks, etc. -- are inherently undirected and directions are only imposed on them to reduce the danger of…

数据结构与算法 · 计算机科学 2014-10-03 Ashwin Arulselvan , Martin Groß , Martin Skutella

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

计算机科学与博弈论 · 计算机科学 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

We propose a protocol optimization technique that is applicable to both weighted or unweighted graphs. Our aim is to explore by how much a small variation around the Shortest Path or Optimal Path protocols can enhance protocol performance.…

物理与社会 · 物理学 2015-05-19 Jose J. Ramasco , Marta S. de la Lama , Eduardo Lopez , Stefan Boettcher

In this study, we investigate the problem of classifying, characterizing, and designing efficient algorithms for hard inference problems on planar graphs, in the limit of infinite size. The problem is considered hard if, for a deterministic…

统计理论 · 数学 2016-01-01 Iuliana Teodorescu , Razvan Teodorescu , Pranav Warman

Navigation apps have become pervasive in providing real-time route recommendations to travelers willing to minimize their travel times. However, such technologies introduce new complexities, raising concerns about their overall impact on…

系统与控制 · 电气工程与系统科学 2024-12-31 Tommaso Toso , Alain Y. Kibangou , Paolo Frasca

The multi-agent path-finding (MAPF) problem has recently received a lot of attention. However, it does not capture important characteristics of many real-world domains, such as automated warehouses, where agents are constantly engaged with…

人工智能 · 计算机科学 2017-06-01 Hang Ma , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

Grids with blocked and unblocked cells are often used to represent terrain in robotics and video games. However, paths formed by grid edges can be longer than true shortest paths in the terrain since their headings are artificially…

计算几何 · 计算机科学 2014-01-17 Kenny Daniel , Alex Nash , Sven Koenig , Ariel Felner

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

计算机科学中的逻辑 · 计算机科学 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

机器人学 · 计算机科学 2018-08-22 Arjun Muralidharan , Yasamin Mostofi