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In this work we address a game theoretic variant of the shortest path problem, in which two decision makers (players) move together along the edges of a graph from a given starting vertex to a given destination. The two players take turns…

离散数学 · 计算机科学 2015-06-02 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

最优化与控制 · 数学 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

Over the past decade, GPS enabled traffic applications, such as Google Maps and Waze, have become ubiquitous and have had a significant influence on billions of daily commuters' travel patterns. A consequence of the online route suggestions…

最优化与控制 · 数学 2021-09-21 Devansh Jalota , Dario Paccagnan , Maximilian Schiffer , Marco Pavone

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…

人工智能 · 计算机科学 2024-09-18 László Kovács , Ali Jlidi

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

计算复杂性 · 计算机科学 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

Recent papers have shown optimally-competitive on-line strategies for a robot traveling from a point $s$ to a point $t$ in certain unknown geometric environments. We consider the question: Having gained some partial information about the…

组合数学 · 数学 2016-09-06 Avrim Blum , Prasad Chalasani

We consider the traffic assignment problem in nonatomic routing games where the players' cost functions may be subject to random fluctuations (e.g., weather disturbances, perturbations in the underlying network, etc.). We tackle this…

计算机科学与博弈论 · 计算机科学 2022-01-11 Dong Quan Vu , Kimon Antonakopoulos , Panayotis Mertikopoulos

Standard algorithms for finding the shortest path in a graph require that the cost of a path be additive in edge costs, and typically assume that costs are deterministic. We consider the problem of uncertain edge costs, with potential…

人工智能 · 计算机科学 2013-02-21 Michael P. Wellman , Matthew Ford , Kenneth Larson

Most networks are not static objects, but instead they change over time. This observation has sparked rigorous research on temporal graphs within the last years. In temporal graphs, we have a fixed set of nodes and the connections between…

计算机科学与博弈论 · 计算机科学 2023-05-23 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

数据库 · 计算机科学 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

The on-line shortest path problem is considered under various models of partial monitoring. Given a weighted directed acyclic graph whose edge weights can change in an arbitrary (adversarial) way, a decision maker has to choose in each…

机器学习 · 计算机科学 2007-05-23 Andras Gyorgy , Tamas Linder , Gabor Lugosi , Gyorgy Ottucsak

Finding paths in graphs is a fundamental graph-theoretic task. In this work, we we are concerned with finding a path with some constraints on its length and the number of vertices neighboring the path, that is, being outside of and incident…

计算复杂性 · 计算机科学 2019-05-28 Max-Jonathan Luckow , Till Fluschnik

The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

最优化与控制 · 数学 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

The graph-navigability problem concerns how one can find as short paths as possible between a pair of vertices, given an incomplete picture of a graph. We study the navigability of graphs where the vertices are tagged by a number (between 1…

物理与社会 · 物理学 2011-08-25 Sang Hoon Lee , Petter Holme

Motivated by the increasing appeal of robots in information-gathering missions, we study multi-agent path planning problems in which the agents must remain interconnected. We model an area by a topological graph specifying the movement and…

人工智能 · 计算机科学 2019-03-12 Tristan Charrier , Arthur Queffelec , Ocan Sankur , François Schwarzentruber

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…

数据结构与算法 · 计算机科学 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

Congestion games model a wide variety of real-world resource congestion problems, such as selfish network routing, traffic route guidance in congested areas, taxi fleet optimization and crowd movement in busy areas. However, existing…

计算机科学与博弈论 · 计算机科学 2012-10-19 Asrar Ahmed , Pradeep Varakantham , Shih-Fen Cheng

Graph Exploration problems ask a searcher to explore an unknown environment. The environment is modeled as a graph, where the searcher needs to visit each vertex beginning at some vertex. Treasure Hunt problems are a variation of Graph…

计算复杂性 · 计算机科学 2024-12-02 Janosch Fuchs , Christoph Grüne , Tom Janßen

We examine the routing problem for self-interested vehicles using stochastic decision strategies. By approximating the road latency functions and a non-linear variable transformation, we frame the problem as an aggregative game. We…

系统与控制 · 电气工程与系统科学 2024-05-09 Emilio Benenati , Sergio Grammatico

The Traveling Tournament Problem (TTP) is a challenging combinatorial optimization problem that has attracted the interest of researchers around the world. This paper proposes an improved search neighbourhood for the TTP that has been…

数据结构与算法 · 计算机科学 2010-07-06 Glenn Langford
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