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In this paper we address the complexity issues of two agreement problems in oblivious robot networks namely gathering and scattering. These abstractions are fundamental coordination problems in cooperative mobile robotics. Moreover, their…

分布式、并行与集群计算 · 计算机科学 2008-07-14 Julien Clement , Xavier Defago , Maria Gradinariu Potop-Butucaru , Stephane Messika

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…

机器人学 · 计算机科学 2025-10-08 Khaled Jawhar , Evangelos Kranakis

Given an undirected, anonymous, port-labeled graph of $n$ memory-less nodes, $m$ edges, and degree $\Delta$, we consider the problem of dispersing $k\leq n$ robots (or tokens) positioned initially arbitrarily on one or more nodes of the…

分布式、并行与集群计算 · 计算机科学 2022-04-05 Ajay D. Kshemkalyani , Gokarna Sharma

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…

分布式、并行与集群计算 · 计算机科学 2021-08-24 Jannik Castenow , Jonas Harbig , Daniel Jung , Till Knollmann , Friedhelm Meyer auf der Heide

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…

计算几何 · 计算机科学 2025-03-20 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

We present an algorithm that ensures in finite time the gathering of two robots in the non-rigid ASYNC model. To circumvent established impossibility results, we assume robots are equipped with 2-colors lights and are able to measure…

分布式、并行与集群计算 · 计算机科学 2017-08-22 Adam Heriban , Xavier Défago , Sébastien Tixeuil

We consider problems in which a mobile robot samples an unknown function defined over its operating space, so as to find a global optimum of this function. The path traveled by the robot matters, since it influences energy and time…

机器人学 · 计算机科学 2023-12-19 Tudor Santejudean , Lucian Busoniu

We develop and analyze algorithms for dispersing a swarm of primitive robots in an unknown environment, R. The primary objective is to minimize the makespan, that is, the time to fill the entire region. An environment is composed of pixels…

机器人学 · 计算机科学 2016-08-31 Tien-Ruey Hsiang , Esther M. Arkin , Michael Bender , Sandor P. Fekete , Joseph S. B. Mitchell

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…

分布式、并行与集群计算 · 计算机科学 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

We investigate the problem of determining a set S of k indistinguishable integers in the range [1,n]. The algorithm is allowed to query an integer $q\in [1,n]$, and receive a response comparing this integer to an integer randomly chosen…

数据结构与算法 · 计算机科学 2013-02-06 Mark Braverman , Gal Oshri

Searching for a line on the plane with $n$ unit speed robots is a classic online problem that dates back to the 50's, and for which competitive ratio upper bounds are known for every $n\geq 1$. In this work we improve the best lower bound…

离散数学 · 计算机科学 2020-01-14 Sumi Acharjee , Konstantinos Georgiou , Somnath Kundu , Akshaya Srinivasan

In this report, we try to improve the performance of existing approaches for search operations in multi-robot context. We propose three novel algorithms that are using a triangular grid pattern, i.e., robots certainly go through the…

机器人学 · 计算机科学 2016-05-17 Ahmad Baranzadeh

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…

分布式、并行与集群计算 · 计算机科学 2021-09-27 Jannik Castenow , Thorsten Götte , Till Knollmann , Friedhelm Meyer auf der Heide

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…

机器人学 · 计算机科学 2024-12-04 Kun Song , Gaoming Chen , Wenhang Liu , Zhenhua Xiong

We extend the motion-planning-through-gadgets framework to several new scenarios involving various numbers of robots/agents, and analyze the complexity of the resulting motion-planning problems. While past work considers just one robot or…

计算机科学中的逻辑 · 计算机科学 2023-11-16 Hayashi Ani , Michael Coulombe , Erik D. Demaine , Jenny Diomidova , Timothy Gomez , Dylan Hendrickson , Jayson Lynch

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…

分布式、并行与集群计算 · 计算机科学 2026-03-09 Prakhar Shukla , Seshunadh Tanuj Peddinti , Subhash Bhagat

We present an algorithm to explore an orthogonal polygon using a team of $p$ robots. This algorithm combines ideas from information-theoretic exploration algorithms and computational geometry based exploration algorithms. We show that the…

机器人学 · 计算机科学 2020-04-16 Aravind Preshant Premkumar , Kevin Yu , Pratap Tokekar

We consider the problem of finding an edge in a hidden undirected graph $G = (V, E)$ with $n$ vertices, in a model where we only allowed queries that ask whether or not a subset of vertices contains an edge. We study the non-adaptive model…

数据结构与算法 · 计算机科学 2022-07-07 Ron Kupfer , Noam Nisan

We consider a collection of $k \geq 2$ robots that evolve in a ring-shaped network without common orientation, and address a variant of the crash-tolerant gathering problem called the \emph{Stand-Up Indulgent Gathering} (SUIG): given a…

分布式、并行与集群计算 · 计算机科学 2024-02-23 Quentin Bramas , Sayaka Kamei , Anissa Lamani , Sébastien Tixeuil

We study the problem of path planning for unlabeled (indistinguishable) unit-disc robots in a planar environment cluttered with polygonal obstacles. We introduce an algorithm which minimizes the total path length, i.e., the sum of lengths…

计算几何 · 计算机科学 2015-04-22 Kiril Solovey , Jingjin Yu , Or Zamir , Dan Halperin