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The study of computing in presence of faulty robots in the Look-Compute-Move model has been the object of extensive investigation, typically with the goal of designing algorithms tolerant to as many faults as possible. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-13 Jean-Lou De Carufel , Paola Flocchini

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-30 Satakshi Ghosh , Pritam Goswami , Avisek Sharma , Buddhadeb Sau

We consider a set of k autonomous robots that are endowed with visibility sensors (but that are otherwise unable to communicate) and motion actuators. Those robots must collaborate to reach a sin- gle vertex that is unknown beforehand, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-02 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil

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

This paper revisits the widely researched \textit{gathering} problem for two robots in a scenario which allows randomization in the asynchronous scheduling model. The scheduler is considered to be the adversary which determines the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Debasish Pattanayak , John Augustine , Partha Sarathi Mandal

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Sruti Gan Chaudhuri , Krishnendu Mukhopadhyaya

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

An algorithm for robot formation path planning is presented in this paper. Given a map of the working environment, the algorithm finds a path for a formation taking into account possible split of the formation and its consecutive merge. The…

Robotics · Computer Science 2019-01-25 M. Estefanía Pereyra , R. Gastón Araguás , Miroslav Kulich

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-02 Yoann Dieudonné , Franck Petit , Vincent Villain

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-09 Manash Kumar Kundu , Pritam Goswami , Satakshi Ghosh , Buddhadeb Sau

Consider a system of autonomous mobile robots initially randomly deployed on the nodes of an anonymous finite grid. A gathering algorithm is a sequence of moves to be executed independently by each robot so that all robots meet at a single…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Kaustav Bose , Ranendu Adhikary , Sruti Gan Chaudhuri , Buddhadeb Sau

Shape formation is a basic distributed problem for systems of computational mobile entities. Intensively studied for systems of autonomous mobile robots, it has recently been investigated in the realm of programmable matter. Namely, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Paola Flocchini , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

There has been a wide interest in designing distributed algorithms for tiny robots. In particular, it has been shown that the robots can complete certain tasks even in the presence of faulty robots. In this paper, we focus on gathering of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Debasish Pattanayak , Kaushik Mondal , H. Ramesh , Partha Sarathi Mandal

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

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

Collision-free mobile robot navigation is an important problem for many robotics applications, especially in cluttered environments. In such environments, obstacles can be static or dynamic. Dynamic obstacles can additionally be…

Robotics · Computer Science 2023-02-28 Baskın Şenbaşlar , Gaurav S. Sukhatme

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

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.…

Robotics · Computer Science 2025-04-18 Shuqing Liu , Rong Su , Karl H. Johansson

We propose a novel algorithm for forming arbitrarily shaped assemblies using decentralized robots. By relying on local interactions, the algorithm ensures there are no unreachable states or gaps in the assembly, which are global properties.…

Robotics · Computer Science 2026-03-19 Khai Yi Chin , Tingwei Meng , Zhe Chen , Daniel Bassett , Yuri Ivanov