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An optimization problem that naturally arises in the study of swarm robotics is the Freeze-Tag Problem (FTP) of how to awaken a set of ``asleep'' robots, by having an awakened robot move to their locations. Once a robot is awake, it can…

Data Structures and Algorithms · Computer Science 2007-05-23 Esther M. Arkin , Michael A. Bender , Sandor P. Fekete , Joseph S. B. Mitchell , Martin Skutella

The Freeze-Tag Problem (FTP) involves activating a set of initially asleep robots as quickly as possible, starting from a single awake robot. Once activated, a robot can assist in waking up other robots. Each active robot moves at unit…

Computational Geometry · Computer Science 2025-07-23 Sharareh Alipour , Arash Ahadi , Kajal Baghestani

We study the Freeze-Tag Problem (FTP), introduced by Arkin et al. (SODA'02), where the goal is to wake up a group of $n$ robots, starting from a single active robot. Our focus is on the geometric version of the problem, where robots are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-24 Sharareh Alipour , Kajal Baghestani , Mahdis Mirzaei , Soroush Sahraei

Arkin et al. in 2002 introduced a scheduling-like problem called Freeze-Tag Problem (FTP) motivated by robot swarm activation. The input consists of the locations of n mobile punctual robots in some metric space or graph. Only one begins…

Computational Geometry · Computer Science 2023-01-20 Lucas de Oliveira Silva

The Freeze-Tag Problem (FTP) is a scheduling problem with application in robot swarm activation and was introduced by Arkin et al. in 2002. This problem seeks an efficient way of activating a robot swarm, starting with a single active…

Computational Geometry · Computer Science 2026-01-21 Lucas de Oliveira Silva , Lehilton Lelis Chaves Pedrosa

The Freeze Tag Problem consists in waking up a swarm of robots starting with one initially awake robot. Whereas there is a wide literature of the centralized setting, where the location of the robots is known in advance, we focus in the…

Data Structures and Algorithms · Computer Science 2025-03-31 Cyril Gavoille , Nicolas Hanusse , Gabriel Le Bouder , Taïssir Marcé

In the freeze-tag problem, one active robot must wake up many frozen robots. The robots are considered as points in a metric space, where active robots move at a constant rate and activate other robots by visiting them. In the…

Data Structures and Algorithms · Computer Science 2019-02-06 Josh Brunner , Julian Wellman

The Freeze-Tag Problem, introduced in Arkin et al. (SODA'02) consists of waking up a swarm of $n$ robots, starting from a single active robot. In the basic geometric version, every robot is given coordinates in the plane. As soon as a robot…

Data Structures and Algorithms · Computer Science 2024-02-06 Nicolas Bonichon , Arnaud Casteigts , Cyril Gavoille , Nicolas Hanusse

Multi-Robot Coverage problems have been extensively studied in robotics, planning and multi-agent systems. In this work, we consider the coverage problem when there are constraints on the proximity (e.g., maximum distance between the…

Multiagent Systems · Computer Science 2024-12-18 Dolev Mutzari , Yonatan Aumann , Sarit Kraus

We present Frozone, a novel algorithm to deal with the Freezing Robot Problem (FRP) that arises when a robot navigates through dense scenarios and crowds. Our method senses and explicitly predicts the trajectories of pedestrians and…

Robotics · Computer Science 2020-03-12 Adarsh Jagan Sathyamoorthy , Utsav Patel , Tianrui Guan , Dinesh Manocha

In this paper we study the Near-Gathering problem for a finite set of dimensionless, deterministic, asynchronous, anonymous, oblivious and autonomous mobile robots with limited visibility moving in the Euclidean plane in Look-Compute-Move…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-28 Linda Pagli , Giuseppe Prencipe , Giovanni Viglietta

We investigate the problem of optimally assigning a large number of robots (or other types of autonomous agents) to guard the perimeters of closed 2D regions, where the perimeter of each region to be guarded may contain multiple disjoint…

Robotics · Computer Science 2019-05-14 Si Wei Feng , Shuai D. Han , Kai Gao , Jingjin Yu

Gathering mobile robots is a widely studied problem in robotic research. This survey first introduces the related work, summarizing models and results. Then, the focus shifts on the open problem of gathering fat robots. In this context,…

Robotics · Computer Science 2011-11-10 Alberto Bandettini , Fabio Luporini , Giovanni Viglietta

Maintaining a robust communication network plays an important role in the success of a multi-robot team jointly performing an optimization task. A key characteristic of a robust multi-robot system is the ability to repair the communication…

Robotics · Computer Science 2024-04-09 Md Ishat-E-Rabban , Guangyao Shi , Pratap Tokekar

We consider the problem of searching for an intruder in a geometric domain by utilizing multiple search robots. The domain is a simply connected orthogonal polygon with edges parallel to the cartesian coordinate axes. Each robot has a…

Robotics · Computer Science 2025-11-06 Swadhin Agrawal , Sujoy Bhore , Joseph S. B. Mitchell , P. B. Sujit , Aayush Gohil

Terrain Guarding Problem(TGP), which is known to be NP-complete, asks to find a smallest set of guard locations on a terrain $T$ such that every point on $T$ is visible by a guard. Here, we study this problem on 1.5D orthogonal terrains…

Computational Geometry · Computer Science 2016-05-19 Yangdi Lyu , Alper Üngör

The theory of fuzzy mathematics has been proven very effective for defining and solving optimization problems. Fuzzy quadratic programming (FQP) is a consequence of this approach. In this paper, an algorithm has been proposed to solve FQP…

General Mathematics · Mathematics 2022-07-25 Sajal Chakroborty

Robot navigation in human semi-static and crowded environments can lead to the freezing problem, where the robot can not move due to the presence of humans standing on its path and no other path is available. Classical approaches of robot…

Robotics · Computer Science 2021-01-28 Arturo Cruz-Maya

A Fixed-Parameter Tractable (\FPT) $\rho$-approximation algorithm for a minimization (resp. maximization) parameterized problem $P$ is an FPT algorithm that, given an instance $(x, k)\in P$ computes a solution of cost at most $k \cdot…

Data Structures and Algorithms · Computer Science 2013-08-19 Rajesh Chitnis , MohammadTaghi Hajiaghayi , Guy Kortsarz

Human-robot interaction plays a crucial role to make robots closer to humans. Usually, robots are limited by their own capabilities. Therefore, they utilise Cloud Robotics to enhance their dexterity. Its ability includes the sharing of…

Robotics · Computer Science 2019-08-15 Siva Leela Krishna Chand Gudi , Benjamin Johnston , Mary-Anne Williams
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