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Given a set of $n\geq 1$ unit disk robots in the Euclidean plane, we consider the Pattern Formation problem, i.e., the robots must reposition themselves to form a given target pattern. This problem arises under obstructed visibility, where…

Computational Geometry · Computer Science 2025-01-09 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

Consider a finite set of identical computational entities that can move freely in the Euclidean plane operating in Look-Compute-Move cycles. Let p(t) denote the location of entity p at time t; entity p can see entity q at time t if at that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-02 G. A. Di Luna , P. Flocchini , S. Gan Chaudhuri , F. Poloni , N. Santoro , G. Viglietta

In the existing literature of the Mutual Visibility problem for autonomous robot swarms, the adopted visibility models have some idealistic assumptions that are not consistent with practical sensing device implementations. This paper…

Robotics · Computer Science 2022-06-16 Kaustav Bose , Abhinav Chakraborty , Krishnendu Mukhopadhyaya

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…

Computational Geometry · Computer Science 2025-03-20 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

An autonomous mobile robot system is a distributed system consisting of mobile computational entities (called robots) that autonomously and repeatedly perform three operations: Look, Compute, and Move. Various problems related to autonomous…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

We study a recently introduced \textit{unconscious} mobile robot model, where each robot is associated with a \textit{color}, which is visible to other robots but not to itself. The robots are autonomous, anonymous, oblivious and silent,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-28 Prajyot Pyati , Navjot Kaur , Saswata Jana , Adri Bhattacharya , Partha Sarathi Mandal

This paper addresses the mutual visibility problem for a set of semi-synchronous, opaque robots occupying distinct positions in the Euclidean plane. Since robots are opaque, if three robots lie on a line, the middle robot obstructs the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-10 Subhash Bhagat , Krishnendu Mukhopadhyaya

Robots with lights is a model of autonomous mobile computational entities operating in the plane in Look-Compute-Move cycles: each agent has an externally visible light which can assume colors from a fixed set; the lights are persistent…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-13 G. A. Di Luna , P. Flocchini , S. Gan Chaudhuri , N. Santoro , G. Viglietta

We study the rendezvous problem for two robots moving in the plane (or on a line). Robots are autonomous, anonymous, oblivious, and carry colored lights that are visible to both. We consider deterministic distributed algorithms in which…

Multiagent Systems · Computer Science 2012-11-28 Giovanni Viglietta

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-08 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

Gathering mobile robots is a widely studied problem in robotic research. This survey first introduces the related work, summarizing models and results. Then, the focus shifts on the open problem of gathering fat robots. In this context,…

Robotics · Computer Science 2011-11-10 Alberto Bandettini , Fabio Luporini , Giovanni Viglietta

We consider the problem of constructing a maximum independent set with mobile myopic luminous robots on a grid network whose size is finite but unknown to the robots. In this setting, the robots enter the grid network one-by-one from a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-08 Sayaka Kamei , Sébastien Tixeuil

We are given $N$ autonomous mobile robots inside a bounded region. The robots are opaque which means that three collinear robots are unable to see each other as one of the robots acts as an obstruction for the other two. They operate in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Subhajit Pramanick , Saswata Jana , Adri Bhattacharya , Partha Sarathi Mandal

This paper addresses the problem of Uniform Circle Formation by n > 1 transparent disc robots (fat robots). The robots execute repetitive cycles of the states look-compute-move in semi-synchronous manner where a set of robots execute the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Moumita Mondal , Sruti Gan Chaudhuri

This work focuses on the following question related to the Gathering problem of $n$ autonomous, mobile robots in the Euclidean plane: Is it possible to solve Gathering of robots that do not agree on any axis of their coordinate systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Jannik Castenow , Jonas Harbig , Daniel Jung , Till Knollmann , Friedhelm Meyer auf der Heide

In this paper, we study the circle formation problem by multiple autonomous and homogeneous disc-shaped robots (also known as fat robots). The goal of the robots is to place themselves on the periphery of a circle. Circle formation has many…

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 study the {\sc Uniform Circle Formation} ({\sc UCF}) problem for a swarm of $n$ autonomous mobile robots operating in \emph{Look-Compute-Move} (LCM) cycles on the Euclidean plane. We assume our robots are \emph{luminous}, i.e. embedded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-13 Caterina Feletti , Debasish Pattanayak , Gokarna Sharma

We present an algorithm that ensures in finite time the gathering of two robots in the non-rigid ASYNC model. To circumvent established impossibility results, we assume robots are equipped with 2-colors lights and are able to measure…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-22 Adam Heriban , Xavier Défago , Sébastien Tixeuil
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