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Related papers: Optimal Rendezvous ${\mathcal L}$-Algorithms for A…

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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

In this paper, we have considered two fully synchronous $\mathcal{OBLOT}$ robots having no agreement on coordinates entering a finite unoriented grid through a door vertex at a corner, one by one. There is a resource that can move around…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

We investigate exploration algorithms for autonomous mobile robots evolving in uniform ring-shaped networks. Different from the usual Look-Compute-Move (LCM) model, we consider two characteristics: myopia and luminosity. Myopia means each…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-11 Fukuhito Ooshita , Sébastien Tixeuil

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

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

In the classic Symmetric Rendezvous problem on a Line (SRL), two robots at known distance 2 but unknown direction execute the same randomized algorithm trying to minimize the expected rendezvous time. A long standing conjecture is that the…

Discrete Mathematics · Computer Science 2018-05-10 Konstantinos Georgiou , Jay Griffiths , Yuval Yakubov

A group of wheeled robots with nonholonomic constraints is considered to rendezvous at a common specified setpoint with a desired orientation while maintaining network connectivity and ensuring collision avoidance within the robots. Given…

Systems and Control · Computer Science 2014-02-25 Zhen Kan , Justin Klotz , Eduardo L. Pasiliao , John M. Shea , Warren E. Dixon

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

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

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

Rendezvous aims at gathering all robots at a specific location, which is an important collaborative behavior for multi-robot systems. However, in an unknown environment, it is challenging to achieve rendezvous. Previous researches mainly…

Robotics · Computer Science 2024-12-04 Kun Song , Gaoming Chen , Wenhang Liu , Zhenhua Xiong

We consider two mobile oblivious robots that evolve in a continuous Euclidean space. We require the two robots to solve the rendezvous problem (meeting in finite time at the same location, not known beforehand) despite the possibility that…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Quentin Bramas , Anissa Lamani , Sébastien Tixeuil

A metamorphic robotic system (MRS) consists of anonymous modules, each of which autonomously moves in the 2D square grid by sliding and rotation with keeping connectivity among the modules. Existing literature considers distributed…

Robotics · Computer Science 2024-07-30 Ryonosuke Yamada , Tomoyuki Usami , Yukiko Yamauchi

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

In this study, we explore efficient simulation implementations to demonstrate computational equivalence across various models of autonomous mobile robot swarms. Our focus is on Rsynch, a scheduler designed for energy-restricted robots,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-12 Keita Nakajima , Kaito Takase , Koichi Wada

We consider the problem of filling an unknown area represented by an arbitrary connected graph of $n$ vertices by mobile luminous robots. In this problem, the robots enter the graph one-by-one through a specific vertex, called the Door, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Attila Hideg , Tamas Lukovszki

Understanding the computational power of mobile robot systems is a fundamental challenge in distributed computing. While prior work has focused on pairwise separations between models, we explore how robot capabilities, light observability,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-12 Shota Naito , Tsukasa Ninomiya , Koichi Wada

In this paper, we study the symmetric rendezvous search problem on the line with n > 2 robots that are unaware of their locations and the initial distances between them. In the symmetric version of this problem, the robots execute the same…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-23 Deniz Ozsoyeller

This paper studies the gathering problem for a set of $N \ge 2$ autonomous mobile robots operating in the Euclidean plane under the distributed Look-Compute-Move model. We consider oblivious robots executing under the adversarial defected…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-09 Prakhar Shukla , Seshunadh Tanuj Peddinti , Subhash Bhagat

Two mobile agents represented by points freely moving in the plane and starting at two distinct positions, have to meet. The meeting, called rendezvous, occurs when agents are at distance at most $r$ of each other and never move after this…

Data Structures and Algorithms · Computer Science 2020-05-05 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit