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A team consisting of an unknown number of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node. Agents are anonymous (identical), execute the same deterministic…

Data Structures and Algorithms · Computer Science 2016-03-15 Yoann Dieudonné , Andrzej Pelc

This work deals with the problem of gathering $n$ oblivious mobile entities, called robots, at a point (not known beforehand) placed on an infinite triangular grid. The robots are considered to be myopic, i.e., robots have limited…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-29 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

We consider the fundamental benchmarking problem of gathering in an $(N,f)$-fault system consisting of $N$ robots, of which at most $f$ might fail at any execution, under asynchrony. Two seminal results established impossibility of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Subhajit Pramanick , Saswata Jana , Partha Sarathi Mandal , Gokarna Sharma

Fault tolerance is increasingly important for unmanned autonomous vehicles. For example, in a multi robot system the agents need the ability to effectively detect and tolerate internal failures in order to continue performing their tasks…

Combinatorics · Mathematics 2016-05-02 S. Bereg , L. E. Caraballo , J. M. Díaz-Báñez , M. A. Lopez

In this paper, we investigate the possibility to deterministically solve the gathering problem (GP) with weak robots (anonymous, autonomous, disoriented, deaf and dumb, and oblivious). We introduce strong multiplicity detection as the…

Multiagent Systems · Computer Science 2009-05-07 Yoann Dieudonné , Franck Petit

This work addresses the gathering problem for a set of autonomous, anonymous, and homogeneous robots with limited visibility operating in a continuous circle. The robots are initially placed at distinct positions, forming a rotationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-05 Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

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 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

We consider the problem of completely covering an unknown discrete environment with a swarm of asynchronous, frequently-crashing autonomous mobile robots. We represent the environment by a discrete graph, and task the robots with occupying…

Discrete Mathematics · Computer Science 2020-06-05 Michael Amir , Alfred M. Bruckstein

In this paper, the parking problem of a swarm of mobile robots has been studied. The robots are deployed at the nodes of an infinite grid, which has a subset of prefixed nodes marked as parking nodes. Each parking node p_i has a capacity of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-17 Abhinav Chakraborty , Krishnendu Mukhopadhyaya

In this paper we propose and prove correct a new self-stabilizing velocity agreement (flocking) algorithm for oblivious and asynchronous robot networks. Our algorithm allows a flock of uniform robots to follow a flock head emergent during…

Networking and Internet Architecture · Computer Science 2011-05-23 Davide Canepa , Xavier Défago , Taisuke Izumi , Maria Potop-Butucaru

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 consider the gathering task by a team of $m$ synchronous mobile robots in a graph of $n$ nodes. Each robot has an identifier (ID) and runs its own deterministic algorithm, i.e., there is no centralized coordinator. We consider a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Avery Miller , Ullash Saha

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

In this paper, we solve the local gathering problem of a swarm of $n$ indistinguishable, point-shaped robots on a two dimensional grid in asymptotically optimal time $\mathcal{O}(n)$ in the fully synchronous $\mathcal{FSYNC}$ time model.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-11 Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

We describe an efficient and fault-tolerant algorithm for distributed cyclic garbage collection. The algorithm imposes few requirements on the local machines and allows for flexibility in the choice of local collector and distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 N. Allen , T. Terriberry

We propose a new probabilistic pattern formation algorithm for oblivious mobile robots that operates inthe ASYNC model. Unlike previous work, our algorithm makes no assumptions about the local coordinatesystems of robots (the robots do not…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-21 Quentin Bramas , Sébastien Tixeuil

Aggregation is a fundamental behavior for swarm robotics that requires a system to gather together in a compact, connected cluster. In 2014, Gauci et al. proposed a surprising algorithm that reliably achieves swarm aggregation using only a…

Robotics · Computer Science 2021-08-24 Joshua J. Daymude , Noble C. Harasha , Andréa W. Richa , Ryan Yiu

Application partitioning and code offloading are being researched extensively during the past few years. Several frameworks for code offloading have been proposed. However, fewer works attempted to address issues occurred with its…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Nevin Vunka Jungum , Nawaz Mohamudally , Nimal Nissanke

We study the Gathering problem for n autonomous mobile robots in semi-synchronous settings with persistent memory called light. It is well known that Gathering is impossible in a basic model when robots have no lights, if the system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-30 Satoshi Terai , Koichi Wada , Yoshiaki Katayama