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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

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

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

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 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

Schedulability is a fundamental problem in real-time scheduling, but it has to be approximated due to the intrinsic computational hardness. As the most popular algorithm for deciding schedulability on multiprocess platforms, the speedup…

Data Structures and Algorithms · Computer Science 2018-07-24 Xin Han , Liang Zhao , Zhishan Guo , Xingwu Liu

We consider a wireless sensor network whose main function is to detect certain infrequent alarm events, and to forward alarm packets to a base station, using geographical forwarding. The nodes know their locations, and they sleep-wake…

Networking and Internet Architecture · Computer Science 2009-12-21 K. P. Naveen , A. Kumar

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

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

The frog model is a system of random walks where active particles set sleeping particles in motion. On the complete graph with n vertices it is equivalent to a well-understood rumor spreading model. We given an alternate and elementary…

For legged robots to operate in complex terrains, they must be robust to the disturbances and uncertainties they encounter. This paper contributes to enhancing robustness through the design of fall detection/prediction algorithms that will…

Robotics · Computer Science 2023-10-10 M. Eva Mungai , Jessy Grizzle

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

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…

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 cooperative multi-robot system is the ability to repair the…

Robotics · Computer Science 2024-04-08 Md Ishat-E-Rabban , Guangyao Shi , Griffin Bonner , Pratap Tokekar

The \emph{Tree Augmentation Problem (TAP)} is given a tree $T=(V,E_T)$ and additional set of {\em links} $E$ on $V\times V$, find $F \subseteq E$ such that $T \cup F$ is $2$-edge-connected, and $|F|$ is minimum. The problem is APX-hard…

Computational Complexity · Computer Science 2026-03-06 Guy Kortsarz

We revisit the problem of missing tag identification in RFID networks by making three contributions. Firstly, we quantitatively compare and gauge the existing propositions spanning over a decade on missing tag identification. We show that…

Networking and Internet Architecture · Computer Science 2025-10-22 Kanghuai Liu , Lin Chen , Jihong Yu , Junyi Huang , Shiyuan Liu

Online makespan minimization is a fundamental problem in scheduling. In this paper, we investigate its over-time formulation, where each job has a release time and a processing time. A job becomes known only at its release time and must be…

Data Structures and Algorithms · Computer Science 2025-10-13 Zhaozi Wang , Zhiwei Ying , Yuhao Zhang
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