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相关论文: On the hardness of unlabeled multi-robot motion pl…

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In the problem of multi-robot motion planning, a group of robots, placed in a polygonal domain with obstacles, must be moved from their starting positions to a set of target positions. We consider the specific case of unlabeled disc robots…

Multi-robot motion planning is a hard problem. We investigate restricted variants of the problem where square robots are allowed to slide over an arbitrary curve to a new position only a constant number of times each. We show that the…

计算几何 · 计算机科学 2026-03-06 Thijs van der Horst , Maarten Löffler , Tim Ophelders , Tom Peters

We study two well-known reconfiguration problems. Given a start and a target configuration of geometric objects in a polygon, we wonder whether we can move the objects from the start configuration to the target configuration while avoiding…

We consider the following motion-planning problem: we are given $m$ unit discs in a simple polygon with $n$ vertices, each at their own start position, and we want to move the discs to a given set of $m$ target positions. Contrary to the…

计算几何 · 计算机科学 2015-01-27 Aviv Adler , Mark de Berg , Dan Halperin , Kiril Solovey

We study unlabeled multi-robot motion planning for unit-disk robots in a polygonal environment. Although the problem is hard in general, polynomial-time solutions exist under appropriate separation assumptions on start and target positions.…

计算几何 · 计算机科学 2026-03-23 Tsuri Farhana , Omrit Filtser , Shalev Goldshtein

In this paper, we present a learning approach to goal assignment and trajectory planning for unlabeled robots operating in 2D, obstacle-filled workspaces. More specifically, we tackle the unlabeled multi-robot motion planning problem with…

We consider the unlabeled motion-planning problem of $m$ unit-disc robots moving in a simple polygonal workspace of $n$ edges. The goal is to find a motion plan that moves the robots to a given set of $m$ target positions. For the unlabeled…

In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

代数拓扑 · 数学 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

We initiate a general theory for analyzing the complexity of motion planning of a single robot through a graph of "gadgets", each with their own state, set of locations, and allowed traversals between locations that can depend on and change…

计算复杂性 · 计算机科学 2018-06-13 Erik D. Demaine , Isaac Grosof , Jayson Lynch , Mikhail Rudoy

We present a decoupled algorithm for motion planning for a collection of unit-balls moving among polyhedral obstacles in $\mathbb{R}^d$, for any $d \ge 2$. We assume that the robots have revolving areas in the vicinity of their start and…

计算几何 · 计算机科学 2018-07-17 Israela Solomon , Dan Halperin

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…

机器人学 · 计算机科学 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

As legged robots are deployed in industrial and autonomous construction tasks requiring collaborative manipulation, they must handle object manipulation while maintaining stable locomotion. The challenge intensifies in real-world…

机器人学 · 计算机科学 2024-10-16 Mohsen Sombolestan , Quan Nguyen

We consider algorithmic problems motivated by modular robotic reconfiguration in the sliding square model, in which we are given $n$ square-shaped modules in a (labeled or unlabeled) start configuration and need to find a schedule of…

Multi-robot motion planning (MRMP) is the problem of finding collision-free paths for a set of robots in a continuous state space. The difficulty of MRMP increases with the number of robots and is exacerbated in environments with narrow…

机器人学 · 计算机科学 2023-11-17 Courtney McBeth , James Motes , Diane Uwacu , Marco Morales , Nancy M. Amato

We study a generalized motion planning problem involving multiple autonomous robots navigating in a $d$-dimensional Euclidean space in the presence of a set of obstacles whose positions are unknown a priori. Each robot is required to visit…

代数拓扑 · 数学 2025-10-13 Gopal Chandra Dutta , Amit Kumar Paul , Subhankar Sau

Motivated by advances is nanoscale applications and simplistic robot agents, we look at problems based on using a global signal to move all agents when given a limited number of directional signals and immovable geometry. We study a model…

计算几何 · 计算机科学 2020-03-31 David Caballero , Angel A. Cantu , Timothy Gomez , Austin Luchsinger , Robert Schweller , Tim Wylie

In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to function under a variety of external conditions which are…

机器人学 · 计算机科学 2022-02-24 Michael Farber , Shmuel Weinberger

We study the Monotone Sliding Reconfiguration (MSR) problem, in which $\textit{labeled}$ pairwise interior-disjoint objects in a planar workspace need to be brought $\textit{one by one}$ from their initial positions to given target…

机器人学 · 计算机科学 2024-12-04 Tzvika Geft , Dan Halperin , Yonatan Nakar

Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as parameters and form part of the input of the underlying…

代数拓扑 · 数学 2021-10-15 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

We study a variant of the Coordinated Motion Planning problem on undirected graphs, referred to herein as the \textsc{Coordinated Sliding-Motion Planning} (CSMP) problem. In this variant, we are given an undirected graph $G$, $k$ robots…

离散数学 · 计算机科学 2025-03-03 Eduard Eiben , Robert Ganian , Iyad Kanj , Ramanujan M. Sridharan
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