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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, 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

The freeze tag problem (FTP) aims to awaken a swarm of robots with one or more initial awake robots as soon as possible. Each awake robot must touch a sleeping robot to wake it up. Once a robot is awakened, it can assist in awakening other…

Computational Geometry · Computer Science 2024-11-06 Fatemeh Rajabi-Alni , Alireza Bagheri , Behrouz Minaei-Bidgoli

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 (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

The limited energy capacity of individual robotic agents in a swarm often limits the possible cooperative tasks they can perform. In this work, we investigate the problem of covering an unknown connected grid environment (e.g. a maze or…

Multiagent Systems · Computer Science 2019-03-11 Michael Amir , Alfred M. Bruckstein

We aim to enable a mobile robot to navigate through environments with dense crowds, e.g., shopping malls, canteens, train stations, or airport terminals. In these challenging environments, existing approaches suffer from two common…

Robotics · Computer Science 2018-10-02 Tingxiang Fan , Xinjing Cheng , Jia Pan , Pinxin Long , Wenxi Liu , Ruigang Yang , Dinesh Manocha

In this paper, we solve the local gathering problem of a swarm of $n$ indistinguishable, point-shaped robots on a two dimensional grid in asymptotically optimal time $\mathcal{O}(n)$ in the fully synchronous $\mathcal{FSYNC}$ time model.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-11 Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

In this paper we study multi robot cooperative task allocation issue in a situation where a swarm of robots is deployed in a confined unknown environment where the number of colored spots which represent tasks and the ratios of them are…

Multiagent Systems · Computer Science 2016-11-18 Aryo Jamshidpey , Mohsen Afsharchi

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

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

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

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

In the dispersion problem, a set of $k$ co-located mobile robots must relocate themselves in distinct nodes of an unknown network. The network is modeled as an anonymous graph $G=(V,E)$, where the nodes of the graph are not labeled. The…

Data Structures and Algorithms · Computer Science 2022-02-14 Barun Gorain , Partha Sarathi Mandal , Kaushik Mondal , Supantha Pandit

We consider the following variant of the two dimensional gathering problem for swarms of robots: Given a swarm of $n$ indistinguishable, point shaped robots on a two dimensional grid. Initially, the robots form a closed chain on the grid…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Sebastian Abshoff , Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

We present a decentralized and scalable approach for deployment of a robot swarm. Our approach tackles scenarios in which the swarm must reach multiple spatially distributed targets, and enforce the constraint that the robot network cannot…

Robotics · Computer Science 2018-06-04 Nathalie Majcherczyk , Adhavan Jayabalan , Giovanni Beltrame , Carlo Pinciroli

The well-studied DISPERSION problem is a fundamental coordination problem in distributed robotics, where a set of mobile robots must relocate so that each occupies a distinct node of a network. DISPERSION assumes that a robot can settle at…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Himani , Supantha Pandit , Gokarna Sharma

We consider a swarm of $n$ robots in \mathbb{R}^d. The robots are oblivious, disoriented (no common coordinate system/compass), and have limited visibility (observe other robots up to a constant distance). The basic formation task gathering…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 Jannik Castenow , Jonas Harbig , Daniel Jung , Peter Kling , Till Knollmann , Friedhelm Meyer auf der Heide

This paper studies the problem of having mobile robots in a multi-robot system maintain an estimate of the relative position and relative orientation of near-by robots in the environment. This problem is studied in the context of large…

Robotics · Computer Science 2013-12-09 Alejandro Cornejo , Radhika Nagpal
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