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\textsc{Arbitrary Pattern Formation} is a fundamental problem in autonomous mobile robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-17 Kaustav Bose , Archak Das , Buddhadeb Sau

In the general pattern formation (GPF) problem, a swarm of simple autonomous, disoriented robots must form a given pattern. The robots' simplicity imply a strong limitation: When the initial configuration is rotationally symmetric, only…

Robotics · Computer Science 2024-10-01 Raphael Gerlach , Sören von der Gracht , Christopher Hahn , Jonas Harbig , Peter Kling

The problem of gathering multiple mobile robots to a single location, is one of the fundamental problems in distributed coordination between autonomous robots. The problem has been studied and solved even for robots that are anonymous,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-03 Zohir Bouzid , Shantanu Das , Sébastien Tixeuil

A swarm of anonymous oblivious mobile robots, operating in deterministic Look-Compute-Move cycles, is confined within a circular track. All robots agree on the clockwise direction (chirality), they are activated by an adversarial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-19 Giuseppe A. Di Luna , Ryuhei Uehara , Giovanni Viglietta , Yukiko Yamauchi

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

In this paper we address the complexity issues of two agreement problems in oblivious robot networks namely gathering and scattering. These abstractions are fundamental coordination problems in cooperative mobile robotics. Moreover, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-14 Julien Clement , Xavier Defago , Maria Gradinariu Potop-Butucaru , Stephane Messika

We consider a swarm of $n$ autonomous mobile robots, distributed on a 2-dimensional grid. A basic task for such a swarm is the gathering process: All robots have to gather at one (not predefined) place. A common local model for extremely…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

Gathering is a fundamental coordination problem in cooperative mobile robotics. In short, given a set of robots with arbitrary initial locations and no initial agreement on a global coordinate system, gathering requires that all robots,…

We study the Gathering problem for n autonomous mobile robots in semi-synchronous settings with persistent memory called light. It is well known that Gathering is impossible in a basic model when robots have no lights, if the system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-30 Satoshi Terai , Koichi Wada , Yoshiaki Katayama

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 consider the gathering problem for asynchronous and oblivious robots that cannot communicate explicitly with each other, but are endowed with visibility sensors that allow them to see the positions of the other robots. Most of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-15 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sebastien Tixeuil , Koichi Wada

The Arbitrary Pattern Formation problem asks for a distributed algorithm that moves a set of autonomous mobile robots to form any arbitrary pattern given as input. The robots are assumed to be autonomous, anonymous and identical. They…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-08 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

We present a new algorithm for the problem of universal gathering mobile oblivious robots (that is, starting from any initial configuration that is not bivalent, using any number of robots, the robots reach in a finite number of steps the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

Two fundamental problems of distributed computing are Gathering and Arbitrary pattern formation (\textsc{Apf}). These two tasks are different in nature as in gathering robots meet at a point but in \textsc{Apf} robots form a fixed pattern…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Satakshi Ghosh , Avisek Sharma , Pritam Goswami , Buddhadeb Sau

The Arbitrary Pattern Formation problem asks to design a distributed algorithm that allows a set of autonomous mobile robots to form any specific but arbitrary geometric pattern given as input. The problem has been extensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

Recent advances in Distributed Computing highlight models and algorithms for autonomous swarms of mobile robots that self-organise and cooperate to solve global objectives. The overwhelming majority of works so far considers handmade…

Logic in Computer Science · Computer Science 2014-05-26 Pierre Courtieu , Lionel Rieg , Xavier Urbain , Sébastien Tixeuil

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 consider the gathering problem of seven autonomous mobile robots on triangular grids. The gathering problem requires that, starting from any connected initial configuration where a subgraph induced by all robot nodes…

Robotics · Computer Science 2021-03-16 Masahiro Shibata , Masaki Ohyabu , Yuichi Sudo , Junya Nakamura , Yonghwan Kim , Yoshiaki Katayama

Consider a set of $n$ mobile entities, called robots, located and operating on a continuous circle, i.e., all robots are initially in distinct locations on a circle. The \textit{gathering} problem asks to design a distributed algorithm that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-16 Satakshi Ghosh , Avisek Sharma , Pritam Goswami , Buddhadeb Sau

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
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