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Many robot planning tasks require satisfaction of one or more constraints throughout the entire trajectory. For geometric constraints, manifold-constrained motion planning algorithms are capable of planning collision-free path between start…

Robotics · Computer Science 2026-04-16 Shrutheesh R Iyer , I-Chia Chang , Andrew Z. Liu , Yan Gu , Zachary Kingston

This paper considers multi-goal motion planning in unstructured, obstacle-rich environments where a robot is required to reach multiple regions while avoiding collisions. The planned motions must also satisfy the differential constraints…

Robotics · Computer Science 2025-03-27 Yuanjie Lu , Erion Plaku

This paper presents planning algorithms for a robotic manipulator with a fixed base in order to grasp a target object in cluttered environments. We consider a configuration of objects in a confined space with a high density so no…

Robotics · Computer Science 2022-02-09 Changjoo Nam , Jinhwi Lee , Younggil Cho , Jeongho Lee , Dong Hwan Kim , ChangHwan Kim

We present an AND/OR graph-based, integrated multi-robot task and motion planning approach which (i) performs task allocation coordinating the activity of a given number of robots, and (ii) is capable of handling tasks which involve an a…

Robotics · Computer Science 2021-10-11 Hossein Karami , Antony Thomas , Fulvio Mastrogiovanni

Sampling based methods are widely used for robotic motion planning. Traditionally, these samples are drawn from probabilistic ( or deterministic ) distributions to cover the state space uniformly. Despite being probabilistically complete,…

Robotics · Computer Science 2020-06-09 Rajat Kumar Jenamani , Rahul Kumar , Parth Mall , Kushal Kedia

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

Assume that two robots are located at the centre of a unit disk. Their goal is to evacuate from the disk through an exit at an unknown location on the boundary of the disk. At any time the robots can move anywhere they choose on the disk,…

Data Structures and Algorithms · Computer Science 2023-06-22 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Lata Narayanan , Jarda Opatrny , Birgit Vogtenhuber

We study the problem of planning paths for $p$ distinguishable pebbles (robots) residing on the vertices of an $n$-vertex connected graph with $p \le n$. A pebble may move from a vertex to an adjacent one in a time step provided that it…

Data Structures and Algorithms · Computer Science 2015-03-20 Jingjin Yu , Daniela Rus

Randomized sampling based algorithms are widely used in robot motion planning due to the problem's intractability, and are experimentally effective on a wide range of problem instances. Most variants do not sample uniformly at random, and…

Methods for centralized planning of the collision-free trajectories for a fleet of mobile robots typically solve the discretized version of the problem and rely on numerous simplifying assumptions, e.g. moves of uniform duration, cardinal…

Robotics · Computer Science 2020-08-10 Konstantin Yakovlev , Anton Andreychuk , Vitaly Vorobyev

This paper addresses the motion planning problem for a team of aerial agents under high level goals. We propose a hybrid control strategy that guarantees the accomplishment of each agent's local goal specification, which is given as a…

Robotics · Computer Science 2016-10-05 Christos K. Verginis , Ziwei Xu , Dimos V. Dimarogonas

We study computationally-hard fundamental motion planning problems where the goal is to translate $k$ axis-aligned rectangular robots from their initial positions to their final positions without collision, and with the minimum number of…

Computational Geometry · Computer Science 2024-03-05 Iyad Kanj , Salman Parsa

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

The presence of task constraints imposes a significant challenge to motion planning. Despite all recent advancements, existing algorithms are still computationally expensive for most planning problems. In this paper, we present Constrained…

Robotics · Computer Science 2020-08-11 Ahmed H. Qureshi , Jiangeng Dong , Austin Choe , Michael C. Yip

Consider a set of autonomous computational entities, called \emph{robots}, operating inside a polygonal enclosure (possibly with holes), that have to perform some collaborative tasks. The boundary of the polygon obstructs both visibility…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-24 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

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

This paper presents a method for motion planning under uncertainty to deal with situations where ambiguous data associations result in a multimodal hypothesis on the robot state. In the global localization problem, sometimes referred to as…

Robotics · Computer Science 2016-03-01 Saurav Agarwal , Amirhossein Tamjidi , Suman Chakravorty

Circumnavigation control is useful in real-world applications such as entrapping a hostile target. In this paper, we consider a heterogeneous multi-robot system where robots have different physical properties, such as maximum movement…

Robotics · Computer Science 2018-05-18 Weijia Yao , Sha Luo , Huimin Lu , Junhao Xiao

Finding nonoverlapping balls with given centers in any metric space, maximizing the sum of radii of the balls, can be expressed as a linear program. Its dual linear program expresses the problem of finding a minimum-weight set of cycles…

Computational Geometry · Computer Science 2017-10-09 David Eppstein

We study the Universal Solvability of Robot Motion Planning on Graphs (USolR) problem: given an undirected graph $G = (V, E)$ and $p$ robots, determine whether any arbitrary configuration of the robots can be transformed into any other…

Computational Complexity · Computer Science 2026-02-10 Anubhav Dhar , Pranav Nyati , Tanishq Prasad , Ashlesha Hota , Sudeshna Kolay