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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

We study the \textit{min-sum uniform coverage} problem for a swarm of $n$ mobile robots on a given finite line segment and on a circle having finite positive radius, where the circle is given as an input. The robots must coordinate their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Animesh Maiti , Abhinav Chakraborty , Bibhuti Das , Subhash Bhagat , Krishnendu Mukhopadhyaya

Spatio-temporal patterns emerging from an initial quiescent, uniform state is a phenomenon observed in many dynamical systems sustained far from thermodynamic equilibrium, the practical application of which has only recently begun to be…

Pattern Formation and Solitons · Physics 2026-02-05 Vinod Ramakrishnan , Michael J. Frazier

This paper studies the problem of controlling a multi-robot system to achieve a polygon formation in a self-organized manner. Different from the typical formation control strategies where robots are steered to satisfy the predefined control…

Robotics · Computer Science 2023-04-04 Qingkai Yang , Fan Xiao , Jingshuo Lyu , Bo Zhou , Hao Fang

In the field of distributed computing by robot swarms, the research comprehends manifold models where robots operate in the Euclidean plane through a sequence of look-compute-move cycles. Models under study differ for (i) the possibility of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Caterina Feletti , Lucia Mambretti , Carlo Mereghetti , Beatrice Palano

The concept of programmable matter envisions a very large number of tiny and simple robot particles forming a smart material. Even though the particles are restricted to local communication, local movement, and simple computation, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Irina Kostitsyna , Tom Peters , Bettina Speckmann

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

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

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

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

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

Packing is a classical problem where one is given a set of subsets of Euclidean space called objects, and the goal is to find a maximum size subset of objects that are pairwise non-intersecting. The problem is also known as the Independent…

Computational Geometry · Computer Science 2019-09-27 Sándor Kisfaludi-Bak , Dániel Marx , Tom C. van der Zanden

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

The problem of distributed formation control of nonholonomic mobile robots is addressed in this paper, in which the robots are designed to track a formation. Collision avoidance among agents is guaranteed using a control law based on a…

Robotics · Computer Science 2017-05-11 Thang Nguyen , Hung M. La

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

Programmable matter (PM) is a form of matter capable of dynamically altering its physical properties, such as shape or density, through programmable means. From a robotics perspective, PM can be realized as a distributed system consisting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

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

The introduction and study of dispersing mobile robots across the nodes of an anonymous graph have recently gained traction and have been explored within various graph classes and settings. While optimal dispersion solution was established…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-06 Rik Banerjee , Manish Kumar , Anisur Rahaman Molla

We consider the following variant of the two dimensional gathering problem for swarms of robots: Given a swarm of $n$ indistinguishable, point shaped robots on a two dimensional grid. Initially, the robots form a closed chain on the grid…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Sebastian Abshoff , Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

We study the problem of planning collision-free paths for a group of homogeneous robots. We propose a novel approach for turning the paths that were planned egocentrically by the robots, e.g. without taking other robots' moves into account,…

Artificial Intelligence · Computer Science 2018-07-06 Anton Andreychuk , Konstantin Yakovlev