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We devise a 3D scene graph representation, contact graph+ (cg+), for efficient sequential task planning. Augmented with predicate-like attributes, this contact graph-based representation abstracts scene layouts with succinct geometric…

Robotics · Computer Science 2022-07-19 Ziyuan Jiao , Yida Niu , Zeyu Zhang , Song-Chun Zhu , Yixin Zhu , Hangxin Liu

We study an elementary problem of the topological robotics: collective motion of a set of $n$ distinct particles which one has to move from an initial configuration to a final configuration, with the requirement that no collisions occur in…

Algebraic Topology · Mathematics 2007-05-23 Michael Farber , Sergey Yuzvinsky

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

Robotics · Computer Science 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

A scheduling method in a robotic network cloud system with minimal makespan is beneficial as the system can complete all the tasks assigned to it in the fastest way. Robotic network cloud systems can be translated into graphs where nodes…

Robotics · Computer Science 2024-10-30 Saeid Alirezazadeh , Luís A. Alexandre

Traditional multi-robot motion planning (MMP) focuses on computing trajectories for multiple robots acting in an environment, such that the robots do not collide when the trajectories are taken simultaneously. In safety-critical…

Robotics · Computer Science 2023-03-15 Justin Kottinger , Shaull Almagor , Morteza Lahijanian

Planning motions for two robot arms to move an object collaboratively is a difficult problem, mainly because of the closed-chain constraint, which arises whenever two robot hands simultaneously grasp a single rigid object. In this paper, we…

Robotics · Computer Science 2017-05-09 Puttichai Lertkultanon , Quang-Cuong Pham

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

Effective motion planning in high dimensional spaces is a long-standing open problem in robotics. One class of traditional motion planning algorithms corresponds to potential-based motion planning. An advantage of potential based motion…

Robotics · Computer Science 2024-07-09 Yunhao Luo , Chen Sun , Joshua B. Tenenbaum , Yilun Du

We design a motion planning algorithm to coordinate the movements of two robots along a figure eight track, in such a way that no collisions occur. We use a topological approach to robot motion planning that relates instabilities in motion…

Robotics · Computer Science 2024-03-19 Cristian Jardon , Brian Sheppard , Veet Zaveri

Multi-robot control in cluttered environments is a challenging problem that involves complex physical constraints, including robot-robot collisions, robot-obstacle collisions, and unreachable motions. Successful planning in such settings…

Robotics · Computer Science 2026-04-24 Jiabao Ji , Yongchao Chen , Yang Zhang , Ramana Rao Kompella , Chuchu Fan , Gaowen Liu , Shiyu Chang

Among fundamental problems in the context of distributed computing by autonomous mobile entities, one of the most representative and well studied is {\sc Point Convergence}: given an arbitrary initial configuration of identical entities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 David Kirkpatrick , Irina Kostitsyna , Alfredo Navarra , Giuseppe Prencipe , Nicola Santoro

In this paper, we solve the problem of finding a certified control policy that drives a robot from any given initial state and under any bounded disturbance to the desired reference trajectory, with guarantees on the convergence or bounds…

Robotics · Computer Science 2020-11-26 Dawei Sun , Susmit Jha , Chuchu Fan

Planning smooth and energy-efficient motions for wheeled mobile robots is a central task for applications ranging from autonomous driving to service and intralogistic robotics. Over the past decades, a wide variety of motion planners, steer…

Robotics · Computer Science 2020-03-10 Eric Heiden , Luigi Palmieri , Kai O. Arras , Gaurav S. Sukhatme , Sven Koenig

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

To reduce the computational cost of humanoid motion generation, we introduce a new approach to representing robot kinematic reachability: the differentiable reachability map. This map is a scalar-valued function defined in the task space…

Robotics · Computer Science 2025-08-18 Masaki Murooka , Iori Kumagai , Mitsuharu Morisawa , Fumio Kanehiro

In this paper we study a scheduling problem arising from executing numerical simulations on HPC architectures. With a constant number of parallel machines, the objective is to minimize the makespan under memory constraints for the machines.…

Data Structures and Algorithms · Computer Science 2022-02-18 Eric Angel , Sébastien Morais , Damien Regnault

We introduce and study the Joint Task Assistance Planning problem which generalizes prior work on optimizing assistance in robotic collaboration. In this setting, two robots operate over predefined roadmaps, each represented as a graph…

Robotics · Computer Science 2026-02-25 Omer Daube , Oren Salzman

The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

We study the labeled multi-robot path planning problem in continuous 2D and 3D domains in the absence of obstacles where robots must not collide with each other. For an arbitrary number of robots in arbitrary initial and goal arrangements,…

Multiagent Systems · Computer Science 2018-03-01 Shuai D. Han , Edgar J. Rodriguez , Jingjin Yu

We consider the mobile robot path planning problem for a class of recurrent reachability objectives. These objectives are parameterized by the expected time needed to visit one position from another, the expected square of this time, and…

Robotics · Computer Science 2022-05-30 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák
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