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Related papers: Evacuating Robots from a Disk Using Face-to-Face C…

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We present an improved algorithm for the problem of evacuating two robots from the unit disk via an unknown exit on the boundary. Robots start at the center of the disk, move at unit speed, and can only communicate locally. Our algorithm…

Discrete Mathematics · Computer Science 2019-05-28 Yann Disser , Sören Schmitt

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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-15 Debasish Pattanayak , H. Ramesh , Partha Sarathi Mandal , Stefan Schmid

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…

Computational Geometry · Computer Science 2018-12-27 Huda Chuangpishit , Saeed Mehrabi , Lata Narayanan , Jaroslav Opatrny

Evacuation of robots from a disk has attained a lot of attention recently. We visit the problem from the perspective of fault-tolerance. We consider two robots trying to evacuate from a disk via a single hidden exit on the perimeter of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-10 Debasish Pattanayak , H. Ramesh , Partha Sarathi Mandal

We introduce and study a new search-type problem with ($n+1$)-robots on a disk. The searchers (robots) all start from the center of the disk, have unit speed, and can communicate wirelessly. The goal is for a distinguished robot (the queen)…

Discrete Mathematics · Computer Science 2018-05-10 J. Czyzowicz , K. Georgiou , R. Killick , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny , S. Shende

We initiate the study of a new problem on searching and fetching in a distributed environment concerning treasure-evacuation from a unit disk. A treasure and an exit are located at unknown positions on the perimeter of a disk and at known…

Data Structures and Algorithms · Computer Science 2023-06-22 Konstantinos Georgiou , George Karakostas , Evangelos Kranakis

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…

The problem of evacuating two robots from the disk in the face-to-face model was first introduced in [Czyzowicz et al., DISC'14], and extensively studied (along with many variations) ever since with respect to worst case analysis. We…

Discrete Mathematics · Computer Science 2018-07-24 Huda Chuangpishit , Konstantinos Georgiou , Preeti Sharma

Consider two robots that start at the origin of the infinite line in search of an exit at an unknown location on the line. The robots can only communicate if they arrive at the same location at exactly the same time, i.e. they use the…

The search-type problem of evacuating 2 robots in the wireless model from the (Euclidean) unit disk was first introduced and studied by Czyzowicz et al. [DISC'2014]. Since then, the problem has seen a long list of follow-up results…

Discrete Mathematics · Computer Science 2021-08-06 Konstantinos Georgiou , Sean Leizerovich , Jesse Lucier , Somnath Kundu

We study unlabeled multi-robot motion planning for unit-disk robots in a polygonal environment. Although the problem is hard in general, polynomial-time solutions exist under appropriate separation assumptions on start and target positions.…

Computational Geometry · Computer Science 2026-03-23 Tsuri Farhana , Omrit Filtser , Shalev Goldshtein

A Differential Drive Robot (DDR) located inside a circular detection region in the plane wants to escape from it in minimum time. Various robotics applications can be modeled like the previous problem, such as a DDR escaping as soon as…

Robotics · Computer Science 2025-02-03 Ubaldo Ruiz

We study the problem of motion planning for a collection of $n$ labeled unit disc robots in a polygonal environment. We assume that the robots have revolving areas around their start and final positions: that each start and each final is…

Robotics · Computer Science 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

We consider the problem of evacuating $k \geq 2$ mobile agents from a unit-sided equilateral triangle through an exit located at an unknown location on the perimeter of the triangle. The agents are initially located at the centroid of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-21 Iman Bagheri , Lata Narayanan , Jaroslav Opatrny

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

Two autonomous mobile robots and a non-autonomous one, also called bike, are placed at the origin of an infinite line. The autonomous robots can travel with maximum speed $1$. When a robot rides the bike its speed increases to $v>1$,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-06 Khaled Jawhar , Evangelos Kranakis

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 $1$…

Data Structures and Algorithms · Computer Science 2021-09-28 Jurek Czyzowicz , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Denis Pankratov , Sunil Shende

In the classic Symmetric Rendezvous problem on a Line (SRL), two robots at known distance 2 but unknown direction execute the same randomized algorithm trying to minimize the expected rendezvous time. A long standing conjecture is that the…

Discrete Mathematics · Computer Science 2018-05-10 Konstantinos Georgiou , Jay Griffiths , Yuval Yakubov

Two cooperating, autonomous mobile robots with arbitrary nonzero max speeds are placed at arbitrary initial positions in the plane. A remotely detonated bomb is discovered at some source location and must be moved to a safe distance away…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-12 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce
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