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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…

分布式、并行与集群计算 · 计算机科学 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

We consider a distributed system consisting of autonomous mobile computing entities, called robots, moving in a specified space. The robots are anonymous, oblivious, and have neither any access to the global coordinate system nor any…

分布式、并行与集群计算 · 计算机科学 2017-05-22 Yusaku Tomita , Yukiko Yamauchi , Shuji Kijima , Masafumi Yamashita

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…

分布式、并行与集群计算 · 计算机科学 2020-10-08 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

\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…

分布式、并行与集群计算 · 计算机科学 2021-02-17 Kaustav Bose , Archak Das , Buddhadeb Sau

We propose a new probabilistic pattern formation algorithm for oblivious mobile robots that operates inthe ASYNC model. Unlike previous work, our algorithm makes no assumptions about the local coordinatesystems of robots (the robots do not…

分布式、并行与集群计算 · 计算机科学 2017-09-21 Quentin Bramas , Sébastien Tixeuil

Leader election and arbitrary pattern formation are funda- mental tasks for a set of autonomous mobile robots. The former consists in distinguishing a unique robot, called the leader. The latter aims in arranging the robots in the plane to…

分布式、并行与集群计算 · 计算机科学 2012-03-02 Yoann Dieudonné , Franck Petit , Vincent Villain

A fundamental problem in Distributed Computing is the Pattern Formation problem, where some independent mobile entities, called robots, have to rearrange themselves in such a way as to form a given figure from every possible…

分布式、并行与集群计算 · 计算机科学 2016-05-23 Marcello Mamino , Giovanni Viglietta

In the arbitrary pattern formation problem, $n$ autonomous, mobile robots must form an arbitrary pattern $P \subseteq \mathbb{R}^2$. The (deterministic) robots are typically assumed to be indistinguishable, disoriented, and unable to…

机器人学 · 计算机科学 2024-04-05 Christopher Hahn , Jonas Harbig , Peter Kling

Arbitrary Pattern Formation is a widely studied problem in autonomous robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any arbitrary pattern…

分布式、并行与集群计算 · 计算机科学 2019-10-08 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

We consider a swarm of autonomous mobile robots each of which is an anonymous point in the three-dimensional Euclidean space (3D-space) and synchronously executes a common distributed algorithm. We investigate the pattern formation problem…

分布式、并行与集群计算 · 计算机科学 2016-02-25 Yukiko Yamauchi , Taichi Uehara , Masafumi Yamashita

The traditional distributed model of autonomous, homogeneous, mobile point robots usually assumes that the robots do not create any visual obstruction for the other robots, i.e., the robots are see through. In this paper, we consider a…

分布式、并行与集群计算 · 计算机科学 2014-08-12 S. Bhagat , S. Gan Chaudhuri , K. Mukhopadhyaya

Arbitrary pattern formation ($\mathcal{APF}$) by mobile robots is studied by many in literature under different conditions and environment. Recently it has been studied on an infinite grid network but with full visibility. In opaque robot…

分布式、并行与集群计算 · 计算机科学 2022-05-09 Manash Kumar Kundu , Pritam Goswami , Satakshi Ghosh , Buddhadeb Sau

Given any multiset F of points in the Euclidean plane and a set R of robots such that |R|=|F|, the Arbitrary Pattern Formation (APF) problem asks for a distributed algorithm that moves robots so as to reach a configuration similar to F.…

分布式、并行与集群计算 · 计算机科学 2018-02-07 Serafino Cicerone , Gabriele Di Stefano , Alfredo Navarra

The pattern formation task is commonly seen in a multi-robot system. In this paper, we study the problem of forming complex shapes with functionally limited mobile robots, which have to rely on other robots to precisely locate themselves.…

机器人学 · 计算机科学 2025-04-18 Shuqing Liu , Rong Su , Karl H. Johansson

Consider a set of $n$ simple autonomous mobile robots (asynchronous, no common coordinate system, no identities, no central coordination, no direct communication, no memory of the past, non-rigid, deterministic) initially in distinct…

分布式、并行与集群计算 · 计算机科学 2017-03-30 Paola Flocchini , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

The \textsc{Arbitrary Pattern Formation} (\textsc{Apf}) is a widely studied in distributed computing for swarm robots. This problem asks to design a distributed algorithm that allows a team of identical, autonomous mobile robots to form any…

分布式、并行与集群计算 · 计算机科学 2022-05-30 Satakshi Ghosh , Pritam Goswami , Avisek Sharma , Buddhadeb Sau

Given a set of $n\geq 1$ autonomous, anonymous, indistinguishable, silent, and possibly disoriented mobile unit disk (i.e., fat) robots operating following Look-Compute-Move cycles in the Euclidean plane, we consider the Pattern Formation…

计算几何 · 计算机科学 2025-03-20 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

This paper proposes a distributed algorithm which deterministically gathers n (n > 4) asynchronous, fat robots. The robots are assumed to be transparent and they have full visibility. The robots are initially considered to be stationary. A…

分布式、并行与集群计算 · 计算机科学 2015-03-20 Sruti Gan Chaudhuri , Krishnendu Mukhopadhyaya

Pattern formation is one of the most fundamental problems in distributed computing, which has recently received much attention. In this paper, we initiate the study of distributed pattern formation in situations when some robots can be…

分布式、并行与集群计算 · 计算机科学 2020-08-28 Debasish Pattanayak , Klaus-Tycho Foerster , Partha Sarathi Mandal , Stefan Schmid

In the pattern formation problem, robots in a system must self-coordinate to form a given pattern, regardless of translation, rotation, uniform-scaling, and/or reflection. In other words, a valid final configuration of the system is a…

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