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We investigate the problem of optimally assigning a large number of robots (or other types of autonomous agents) to guard the perimeters of closed 2D regions, where the perimeter of each region to be guarded may contain multiple disjoint…

Robotics · Computer Science 2019-05-14 Si Wei Feng , Shuai D. Han , Kai Gao , Jingjin Yu

In this article, we investigate symmetry properties of distributed systems of mobile robots. We consider a swarm of $n\in\mathbb{N}$ robots in the $\mathcal{OBLOT}$ model and analyze their collective $\mathcal{F}$sync dynamics using of…

Robotics · Computer Science 2025-03-11 Raphael Gerlach , Sören von der Gracht

We study the problem of motion planning for a collection of $n$ labeled unit disc robots in a polygonal environment. We assume that the robots have revolving areas around their start and final positions: that each start and each final is…

Robotics · Computer Science 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

We investigate multiple fundamental variants of the classic coordinated motion planning (CMP) problem for unit square robots in the plane under the $L_1$ metric. In coordinated motion planning, we are given two arrangements of $k$ robots…

Computational Geometry · Computer Science 2026-03-18 Sarita de Berg , Joachim Gudmundsson , Peter Kramer , Christian Rieck , Sampson Wong

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

This paper proposes a novel swarm-based control algorithm for exploration and coverage of unknown environments, while maintaining a formation that permits short-range communication. The algorithm combines two elements: swarm rules for…

Robotics · Computer Science 2022-01-26 Vu Phi Tran , Matthew A. Garratt , Kathryn Kasmarik , Sreenatha G. Anavatti

We consider a swarm of mobile robots evolving in a bidimensional Euclidean space. We study a variant of the crash-tolerant gathering problem: if no robot crashes, robots have to meet at the same arbitrary location, not known beforehand, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-08 Quentin Bramas , Anissa Lamani , Sébastien Tixeuil

In robot swarms operating under highly restrictive sensing and communication constraints, individuals may need to use direct physical proximity to facilitate information exchange. However, in certain task-related scenarios, this requirement…

Robotics · Computer Science 2019-03-05 Siddharth Mayya , Gennaro Notomista , Dylan Shell , Seth Hutchinson , Magnus Egerstedt

In distributed computing by mobile robots, robots are deployed over a region, continuous or discrete, operating through a sequence of \textit{look-compute-move} cycles. An extensive study has been carried out to understand the computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 Avisek Sharma , Pritam Goswami , Buddhadeb Sau

In this paper we tackle the problem of persistently covering a complex non-convex environment with a team of robots. We consider scenarios where the coverage quality of the environment deteriorates with time, requiring to constantly revisit…

Robotics · Computer Science 2024-01-25 José Manuel Palacios-Gasós , Danilo Tardioli , Eduardo Montijano , Carlos Sagüés

We present a decentralized algorithm to achieve segregation into an arbitrary number of groups with swarms of autonomous robots. The distinguishing feature of our approach is in the minimalistic assumptions on which it is based.…

Robotics · Computer Science 2019-01-30 Peter Mitrano , Jordan Burklund , Michael Giancola , Carlo Pinciroli

This paper presents a distributed, optimal, communication-aware trajectory planning algorithm for multi-robot systems. Building on prior work, it addresses the multi-robot communication-aware trajectory planning problem using a general…

Robotics · Computer Science 2024-08-12 Jeppe Heini Mikkelsen , Roberto Galeazzi , Matteo Fumagalli

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 problem for a swarm of robots asks for a distributed algorithm that brings such entities to a common place, not known in advance. We consider the well-known OBLOT model with robots constrained to move along the edges of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

Coordination of movement and configuration in robotic swarms is a challenging endeavor. Deciding when and where each individual robot must move is a computationally complex problem. The challenge is further exacerbated by difficulties…

Robotics · Computer Science 2025-11-17 Prab Prasertying , Paulo Garcia , Warisa Sritriratanarak

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

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

We present a unified formal framework for expressing mobile robots models, protocols, and proofs, and devise a protocol design/proof methodology dedicated to mobile robots that takes advantage of this formal framework. As a case study, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-29 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

We perform structural and algorithmic studies of significantly generalized versions of the optimal perimeter guarding (OPG) problem. As compared with the original OPG where robots are uniform, in this paper, many mobile robots with…

Optimization and Control · Mathematics 2019-12-19 Si Wei Feng , Jingjin Yu

We study the problem of allocating many mobile robots for the execution of a pre-defined sweep schedule in a known two-dimensional environment, with applications toward search and rescue, coverage, surveillance, monitoring, pursuit-evasion,…

Robotics · Computer Science 2023-02-13 Si Wei Feng , Teng Guo , Jingjin Yu