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Related papers: Fast Two-Robot Disk Evacuation with Wireless Commu…

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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,…

Data Structures and Algorithms · Computer Science 2023-06-22 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Lata Narayanan , Jarda Opatrny , Birgit Vogtenhuber

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

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

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…

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 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

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

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

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

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

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

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

We study a fundamental cooperative message-delivery problem on the plane. Assume $n$ robots which can move in any direction, are placed arbitrarily on the plane. Robots each have their own maximum speed and can communicate with each other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

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

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

This paper considers trajectory planning for a mobile robot which persistently relays data between pairs of far-away communication nodes. Data accumulates stochastically at each source, and the robot must move to appropriate positions to…

Robotics · Computer Science 2022-08-24 Winston Hurst , Yasamin Mostofi

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

This paper presents a solution for the problem of optimal planning for a robot in a collaborative human-robot team, where the human supervisor is intermittently available to assist the robot in completing tasks more quickly. Specifically,…

Robotics · Computer Science 2023-07-11 Abhinav Dahiya , Stephen L. Smith

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…

We study the problem of determining optimal coordinated motions for two disc robots in an otherwise obstacle-free plane. Using the total path length traced by the two disc centres as a measure of distance, we give an exact characterization…

Computational Geometry · Computer Science 2017-01-23 David Kirkpatrick , Paul Liu
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