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We consider a collection of $k \geq 2$ robots that evolve in a ring-shaped network without common orientation, and address a variant of the crash-tolerant gathering problem called the \emph{Stand-Up Indulgent Gathering} (SUIG): given a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-23 Quentin Bramas , Sayaka Kamei , Anissa Lamani , Sébastien Tixeuil

In the gathering problem, n autonomous robots have to meet on a single point. We consider the gathering of a closed chain of point-shaped, anonymous robots on a grid. The robots only have local knowledge about a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-21 Sebastian Abshoff , Andreas Cord-Landwehr , Daniel Jung , Friedhelm Meyer auf der Heide

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

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

In this work we consider the problem of gathering autonomous robots in the plane. In particular, we consider non-transparent unit-disc robots (i.e., fat) in an asynchronous setting. Vision is the only mean of coordination. Using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-19 Chrysovalandis Agathangelou , Chryssis Georgiou , Marios Mavronicolas

An autonomous mobile robot system consisting of many mobile computational entities (called robots) attracts much attention of researchers, and to clarify the relation between the capabilities of robots and solvability of the problems is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Yonghwan Kim , Masahiro Shibata , Yuichi Sudo , Junya Nakamura , Yoshiaki Katayama , Toshimitsu Masuzawa

We consider the mobile robot dispersion problem in the presence of faulty robots (crash-fault). Mobile robot dispersion consists of $k\leq n$ robots in an $n$-node anonymous graph. The goal is to ensure that regardless of the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-23 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla , Sumathi Sivasubramaniam

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

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

We consider a strong variant of the crash fault-tolerant gathering problem called stand-up indulgent gathering (SUIG), by robots endowed with limited visibility sensors and lights on line-shaped networks. In this problem, a group of mobile…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-10 Quentin Bramas , Hirotsugu Kakugawa , Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Masahiro Shibata , Sébastien Tixeuil

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

In this paper, we propose a distributed algorithm to uniformly scatter the robots along a grid, with robots on alternate nodes of this grid distribution. These homogeneous, autonomous mobile robots place themselves equidistant apart on the…

Robotics · Computer Science 2020-12-15 Moumita Mondal , Sruti Gan Chaudhuri , Punyasha Chatterjee

Gracefully degrading algorithms [Biely \etal, TCS 2018] are designed to circumvent impossibility results in dynamic systems by adapting themselves to the dynamics. Indeed, such an algorithm solves a given problem under some dynamics and,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-03 Marjorie Bournat , Swan Dubois , Franck Petit

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

In this paper, we study the problem of gathering distance-1 myopic robots on an infinite triangular grid. We show that the algorithm developed by Goswami et al. (SSS, 2022) is lattice-linear (cf. Gupta and Kulkarni, SRDS 2023). This implies…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Arya Tanmay Gupta , Sandeep S Kulkarni

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

Anonymous mobile robots are often classified into synchronous, semi-synchronous and asynchronous robots when discussing the pattern formation problem. For semi-synchronous robots, all patterns formable with memory are also formable without…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-08 Taisuke Izumi , Samia Souissi , Yoshiaki Katayama , Nobuhiro Inuzuka , Xavier Défago , Koichi Wada , Masafumi Yamashita

A set of mobile robots (represented as points) is distributed in the Cartesian plane. The collection contains an unknown subset of byzantine robots which are indistinguishable from the reliable ones. The reliable robots need to gather,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-08 Jurek Czyzowicz , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Oscar Morale-Ponce

Robots with very limited capabilities are placed on the vertices of a graph and are required to move toward a single, common vertex, where they remain stationary once they arrive. This task is referred to as the GATHERING problem. Most of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Alfredo Navarra , Francesco Piselli

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