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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

Two mobile agents, starting from different nodes of an unknown network, have to meet at the same node. Agents move in synchronous rounds using a deterministic algorithm. Each agent has a different label, which it can use in the execution of…

Data Structures and Algorithms · Computer Science 2018-12-10 Jérémie Chalopin , Yoann Dieudonné , Arnaud Labourel , Andrzej Pelc

The Arbitrary Pattern Formation problem asks to design a distributed algorithm that allows a set of autonomous mobile robots to form any specific but arbitrary geometric pattern given as input. The problem has been extensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

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

Multi-robot rendezvous and exploration are fundamental challenges in the domain of mobile robotic systems. This paper addresses multi-robot rendezvous within an initially unknown environment where communication is only possible after the…

Robotics · Computer Science 2024-07-22 Mauro Tellaroli , Matteo Luperto , Michele Antonazzi , Nicola Basilico

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

We consider n robots with limited visibility: each robot can observe other robots only up to a constant distance denoted as the viewing range. The robots operate in discrete rounds that are either fully synchronous (FSync) or…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-27 Jannik Castenow , Thorsten Götte , Till Knollmann , Friedhelm Meyer auf der Heide

We consider a variant of the crash-fault gathering problem called stand-up indulgent gathering (SUIG). In this problem, a group of mobile robots must eventually gather at a single location, which is not known in advance. If no robots crash,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Quentin Bramas , Sayaka Kamei , Anissa Lamani , Sébastien Tixeuil

This work deals with the problem of planning conflict-free paths for mobile robots in cluttered environments. Since centralized, coupled planning algorithms are computationally intractable for large numbers of robots, we consider decoupled…

Robotics · Computer Science 2019-08-08 Wenying Wu , Subhrajit Bhattacharya , Amanda Prorok

We study a search problem on capturing a moving target on an infinite real line. Two autonomous mobile robots (which can move with a maximum speed of 1) are initially placed at the origin, while an oblivious moving target is initially…

Robotics · Computer Science 2025-10-08 Khaled Jawhar , Evangelos Kranakis

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

We study the problem of multi-robot target assignment to minimize the total distance traveled by the robots until they all reach an equal number of static targets. In the first half of the paper, we present a necessary and sufficient…

Robotics · Computer Science 2014-08-01 Jingjin Yu , Soon-Jo Chung , Petros G. Voulgaris

This paper proposes a strategy for a group of deaf and dumb robots, carrying clocks from different countries, to meet at a geographical location which is not fixed in advanced. The robots act independently. They can observe others, compute…

Robotics · Computer Science 2016-04-05 Subhash Bhagat , Sruti Gan Chaudhuri , Krishnendu Mukhopadhyaya

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

\textsc{Arbitrary Pattern Formation} is a fundamental problem in autonomous mobile robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-17 Kaustav Bose , Archak Das , Buddhadeb Sau

This paper considers the motion planning problem for multiple tethered planar mobile robots. Each robot is attached to a fixed base by a flexible cable. Since the robots share a common workspace, the interactions amongst the robots, cables,…

Robotics · Computer Science 2019-05-21 Xu Zhang , Quang-Cuong Pham

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

The gathering over meeting nodes problem requires the robots to gather at one of the pre-defined meeting nodes. This paper investigates the problem with respect to the objective function that minimizes the total number of moves made by all…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Subhash Bhagat , Abhinav Chakraborty , Bibhuti Das , Krishnendu Mukhopadhyaya

We study verification problems for autonomous swarms of mobile robots that self-organize and cooperate to solve global objectives. In particular, we focus in this paper on the model proposed by Suzuki and Yamashita of anonymous robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Arnaud Sangnier , Nathalie Sznajder , Maria Potop-Butucaru , Sébastien Tixeuil