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We study the parameterized complexity of a generalization of the coordinated motion planning problem on graphs, where the goal is to route a specified subset of a given set of $k$ robots to their destinations with the aim of minimizing the…

Discrete Mathematics · Computer Science 2026-02-02 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Iyad Kanj , M. S. Ramanujan

In this paper, we have considered two fully synchronous $\mathcal{OBLOT}$ robots having no agreement on coordinates entering a finite unoriented grid through a door vertex at a corner, one by one. There is a resource that can move around…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

We consider the problem of reconfiguring a set of physical objects into a desired target configuration, a typical (sub)task in robotics and automation, arising in product assembly, packaging, stocking store shelves, and more. In this paper…

Computational Geometry · Computer Science 2020-09-01 Dan Halperin , Marc van Kreveld , Golan Miglioli-Levy , Micha Sharir

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 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…

Computational Geometry · Computer Science 2015-01-27 Aviv Adler , Mark de Berg , Dan Halperin , Kiril Solovey

Many real-world tasks, from house-cleaning to cooking, can be formulated as multi-object rearrangement problems -- where an agent needs to get specific objects into appropriate goal states. For such problems, we focus on the setting that…

Robotics · Computer Science 2023-01-25 Engin Tekin , Elaheh Barati , Nitin Kamra , Ruta Desai

Correct-by-construction manipulation planning in a dynamic environment, where other agents can manipulate objects in the workspace, is a challenging problem. The tight coupling of actions and motions between agents and complexity of mission…

Robotics · Computer Science 2017-11-08 Alireza Partovi , Rafael Rodrigues da Silva , Hai Lin

In Coordinated Motion Planning (CMP), we are given a rectangular-grid on which $k$ robots occupy $k$ distinct starting gridpoints and need to reach $k$ distinct destination gridpoints. In each time step, any robot may move to a neighboring…

Data Structures and Algorithms · Computer Science 2023-12-19 Eduard Eiben , Robert Ganian , Iyad Kanj

This paper considers the motion planning problem for multiple tethered planar mobile robots. Each robot is attached to a fixed base by a flexible cable. Since the robots share a common workspace, the interactions amongst the robots, cables,…

Robotics · Computer Science 2019-05-21 Xu Zhang , Quang-Cuong Pham

This work proposes a novel multi-robot task allocation framework for robots that can switch between multiple modes, e.g., flying, driving, or walking. We first provide a method to encode the multi-mode property of robots as a graph, where…

Robotics · Computer Science 2025-03-18 Takumi Ito , Riku Funada , Mitsuji Sampei , Gennaro Notomista

When designing a motion planner for autonomous robots there are usually multiple objectives to be considered. However, a cost function that yields the desired trade-off between objectives is not easily obtainable. A common technique across…

Robotics · Computer Science 2023-12-13 Nils Wilde , Stephen L. Smith , Javier Alonso-Mora

Discrete tomography deals with reconstructing finite spatial objects from lower dimensional projections and has applications for example in timetable design. In this paper we consider the problem of reconstructing a tile packing from its…

Computational Complexity · Computer Science 2010-12-22 Marek Chrobak , Christoph Durr , Flavio Guinez , Antoni Lozano , Nguyen Kim Thang

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

Multi-robot systems, particularly mobile manipulators, face challenges in control coordination and dynamic stability when working together. To address this issue, this study proposes MobiDock, a modular self-reconfigurable mobile…

Robotics · Computer Science 2026-03-10 Xuan-Thuan Nguyen , Khac Nam Nguyen , Ngoc Duy Tran , Thi Thoa Mac , Anh Nguyen , Hoang Hiep Ly , Tung D. Ta

In warehouse and manufacturing environments, manipulation platforms are frequently deployed at conveyor belts to perform pick and place tasks. Because objects on the conveyor belts are moving, robots have limited time to pick them up. This…

Robotics · Computer Science 2020-06-22 Fahad Islam , Oren Salzman , Aditya Agarwal , Maxim Likhachev

This paper presents a manipulation planning algorithm for robots to reorient objects. It automatically finds a sequence of robot motion that manipulates and prepares an object for specific tasks. Examples of the preparatory manipulation…

Robotics · Computer Science 2018-12-11 Weiwei Wan , Kensuke Harada , Fumio Kanehiro

Synthesizing a stable gait that enables a quadruped robot to climb stairs is the focus of this paper. To this end, first a stable transition from initial to desired configuration is made based on the minimum number of steps and maximum use…

Robotics · Computer Science 2018-09-11 Ali Zamani , Mahdi Khorram , S. Ali A. Moosavian

Multi-robot planning and coordination in uncertain environments is a fundamental computational challenge, since the belief space increases exponentially with the number of robots. In this paper, we address the problem of planning in…

Robotics · Computer Science 2025-06-23 Cora A. Duggan , Kevin C. Wolfe , Bradley Woosley , Marin Kobilarov , Joseph Moore

Motivated by targeted drug delivery, we investigate the gathering of particles in the full tilt model of externally controlled motion planning: A set of particles is located at the tiles of a polyomino with all particles reacting uniformly…

Computational Geometry · Computer Science 2026-03-04 Sándor P. Fekete , Jonas Friemel , Peter Kramer , Jan-Marc Reinhardt , Christian Rieck , Christian Scheffer

Robotic grasping is facing a variety of real-world uncertainties caused by non-static object states, unknown object properties, and cluttered object arrangements. The difficulty of grasping increases with the presence of more uncertainties,…

Robotics · Computer Science 2025-09-10 Hao Chen , Takuya Kiyokawa , Weiwei Wan , Kensuke Harada