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The input to the \emph{Triangle Evacuation} problem is a triangle $ABC$. Given a starting point $S$ on the perimeter of the triangle, a feasible solution to the problem consists of two unit-speed trajectories of mobile agents that…

离散数学 · 计算机科学 2022-09-20 Konstantinos Georgiou , Woojin Jang

Consider $k$ robots initially located at a point inside a region $T$. Each robot can move anywhere in $T$ independently of other robots with maximum speed one. The goal of the robots is to \emph{evacuate} $T$ through an exit at an unknown…

计算几何 · 计算机科学 2018-12-27 Huda Chuangpishit , Saeed Mehrabi , Lata Narayanan , Jaroslav Opatrny

We consider evacuation of a group of $n \geq 2$ autonomous mobile agents (or robots) from an unknown exit on an infinite line. The agents are initially placed at the origin of the line and can move with any speed up to the maximum speed $1$…

There are $n\geq 3$ unit speed mobile agents placed at the origin of the infinite line. In as little time as possible, the agents must find and evacuate from an exit placed at an initially unknown location on the line. The agents can…

数据结构与算法 · 计算机科学 2026-05-12 J. Czyzowicz , R. Killick , E. Kranakis , G. Stachowiak

Assume that two robots are located at the centre of a unit disk. Their goal is to evacuate from the disk through an exit at an unknown location on the boundary of the disk. At any time the robots can move anywhere they choose on the disk,…

数据结构与算法 · 计算机科学 2023-06-22 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Lata Narayanan , Jarda Opatrny , Birgit Vogtenhuber

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

数据结构与算法 · 计算机科学 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

Two robots stand at the origin of the infinite line and are tasked with searching collaboratively for an exit at an unknown location on the line. They can travel at maximum speed $b$ and can change speed or direction at any time. The two…

In the fast evacuation problem, we study the path planning problem for two robots who want to minimize the worst-case evacuation time on the unit disk. The robots are initially placed at the center of the disk. In order to evacuate, they…

分布式、并行与集群计算 · 计算机科学 2016-04-15 Ioannis Lamprou , Russell Martin , Sven Schewe

Distributed evacuation of mobile robots is a recent development. We consider the evacuation problem of two robots which are initially located at the center of a unit disk. Both the robots have to evacuate the disk through the exits situated…

分布式、并行与集群计算 · 计算机科学 2017-08-15 Debasish Pattanayak , H. Ramesh , Partha Sarathi Mandal , Stefan Schmid

Assume that $m \geq 1$ autonomous mobile agents and $0 \leq b \leq m$ single-agent transportation devices (called {\em bikes}) are initially placed at the left endpoint $0$ of the unit interval $[0,1]$. The agents are identical in…

A classical multi-agent fence patrolling problem asks: What is the maximum length $L$ of a line that $k$ agents with maximum speeds $v_1,\ldots,v_k$ can patrol if each point on the line needs to be visited at least once every unit of time.…

数据结构与算法 · 计算机科学 2019-06-14 Bernhard Haeupler , Fabian Kuhn , Anders Martinsson , Kalina Petrova , Pascal Pfister

A mobile agent has to reach a target in the Euclidean plane. Both the agent and the target are modeled as points. In the beginning, the agent is at distance at most $D>0$ from the target. Reaching the target means that the agent gets at a…

数据结构与算法 · 计算机科学 2017-10-20 Andrzej Pelc

We consider the dispersion problem for mobile agents. Initially, k agents are located at arbitrary nodes in an undirected graph. Agents can migrate from node to node via an edge in the graph synchronously. Our goal is to let the k agents be…

分布式、并行与集群计算 · 计算机科学 2020-08-24 Takahiro Shintaku , Yuichi Sudo , Hirotsugu Kakugawa , Toshimitsu Masuzawa

Consider that there are $k\le n$ agents in a simple, connected, and undirected graph $G=(V,E)$ with $n$ nodes and $m$ edges. The goal of the dispersion problem is to move these $k$ agents to mutually distinct nodes. Agents can communicate…

分布式、并行与集群计算 · 计算机科学 2024-08-21 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

We consider k mobile agents initially located at distinct nodes of an undirected graph (on n nodes, with edge lengths) that have to deliver a single item from a given source node s to a given target node t. The agents can move along the…

数据结构与算法 · 计算机科学 2018-09-05 Andreas Bärtschi , Daniel Graf , Matus Mihalak

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the…

数据结构与算法 · 计算机科学 2016-05-05 Gopinath Mishra , Subhra Mazumdar , Arindam Pal

We investigate the problem of creating fast evacuation plans for buildings that are modeled as grid polygons, possibly containing exponentially many cells. We study this problem in two contexts: the ``confluent'' context in which the routes…

数据结构与算法 · 计算机科学 2015-05-19 Sandor P. Fekete , Chris Gray , Alexander Kroeller

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position while avoiding collisions. By optimal, we mean as fast as possible, which is evaluated by a measure known…

计算复杂性 · 计算机科学 2025-06-02 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

We study the dispersion problem in anonymous port-labeled graphs: $k \leq n$ mobile agents, each with a unique ID and initially located arbitrarily on the nodes of an $n$-node graph with maximum degree $\Delta$, must autonomously relocate…

分布式、并行与集群计算 · 计算机科学 2025-07-03 Debasish Pattanayak , Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

In this paper, we study discrete evacuation in networks, where agents know the network topology and designated exit nodes but do not know the number and initial positions of other agents. Each agent initially occupies a distinct node and…

离散数学 · 计算机科学 2026-04-16 Piotr Borowiecki , Dariusz Dereniowski , Łukasz Kuszner
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