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We introduce a novel strategy for multi-robot sorting of waste objects using Reinforcement Learning. Our focus lies on finding optimal picking strategies that facilitate an effective coordination of a multi-robot system, subject to…

Robotics · Computer Science 2024-09-23 Tizian Jermann , Hendrik Kolvenbach , Fidel Esquivel Estay , Koen Kramer , Marco Hutter

In this paper, we present a novel algorithm and its three variations for solving the Rubik's cube more efficiently. This algorithm can be used to solve the complete $n \times n \times n$ cube in $O(\frac{n^2}{\log n})$ moves. This algorithm…

Combinatorics · Mathematics 2021-07-13 Ahmad Kaleem , Ahsan Kaleem

We study the problem of robotic stacking with objects of complex geometry. We propose a challenging and diverse set of such objects that was carefully designed to require strategies beyond a simple "pick-and-place" solution. Our method is a…

Object placement is a fundamental task for robots, yet it remains challenging for partially observed objects. Existing methods for object placement have limitations, such as the requirement for a complete 3D model of the object or the…

Robotics · Computer Science 2023-09-12 Sangjun Noh , Raeyoung Kang , Taewon Kim , Seunghyeok Back , Seongho Bak , Kyoobin Lee

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

One of the main operational challenges faced by the operators of one-way car-sharing systems is to ensure vehicle availability across the regions of the service areas with uneven patterns of rental requests. Fleet balancing strategies are…

Networking and Internet Architecture · Computer Science 2025-01-24 Riccardo Iacobucci , Raffaele Bruno , Chiara Boldrini

Robotic systems are routinely used in the logistics industry to enhance operational efficiency, but the design of robot workspaces remains a complex and manual task, which limits the system's flexibility to changing demands. This paper aims…

Robotics · Computer Science 2025-03-10 Peiyu Zeng , Yijiang Huang , Simon Huber , Stelian Coros

We introduce a new problem formulation, Double-Deck Multi-Agent Pickup and Delivery (DD-MAPD), which models the multi-robot shelf rearrangement problem in automated warehouses. DD-MAPD extends both Multi-Agent Pickup and Delivery (MAPD) and…

Robotics · Computer Science 2023-04-28 Baiyu Li , Hang Ma

We study a general family of facility location problems defined on planar graphs and on the 2-dimensional plane. In these problems, a subset of $k$ objects has to be selected, satisfying certain packing (disjointness) and covering…

Data Structures and Algorithms · Computer Science 2015-04-22 Dániel Marx , Michał Pilipczuk

We investigate approximation algorithms for several fundamental optimization problems on geometric packing. The geometric objects considered are very generic, namely $d$-dimensional convex fat objects. Our main contribution is a versatile…

Computational Geometry · Computer Science 2025-01-03 Vítor Gomes Chagas , Elisa Dell'Arriva , Flávio Keidi Miyazawa

Human environments contain numerous objects configured in a variety of arrangements. Our goal is to enable robots to repose previously unseen objects according to learned semantic relationships in novel environments. We break this problem…

Robotics · Computer Science 2021-08-30 Chris Paxton , Chris Xie , Tucker Hermans , Dieter Fox

A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a single forkstack, or dually, which permutations of a fixed input…

Discrete Mathematics · Computer Science 2007-05-23 M. H. Albert , M. D. Atkinson

This paper presents a task and motion planning (TAMP) framework for a robotic manipulator in order to retrieve a target object from clutter. We consider a configuration of objects in a confined space with a high density so no collision-free…

Robotics · Computer Science 2020-03-26 Changjoo Nam , Jinhwi Lee , Sang Hun Cheong , Brian Y. Cho , ChangHwan Kim

In the reordering buffer management problem (RBM) a sequence of $n$ colored items enters a buffer with limited capacity $k$. When the buffer is full, one item is removed to the output sequence, making room for the next input item. This step…

Data Structures and Algorithms · Computer Science 2012-02-22 Noa Avigdor-Elgrabli , Yuval Rabani

We present the "Busboy Problem": automating an efficient decluttering of cups, bowls, and silverware from a planar surface. As grasping and transporting individual items is highly inefficient, we propose policies to generate grasps for…

Robotics · Computer Science 2023-07-11 Kishore Srinivas , Shreya Ganti , Rishi Parikh , Ayah Ahmad , Wisdom Agboh , Mehmet Dogar , Ken Goldberg

Many core problems in robotics can be framed as constrained optimization problems. Often on these problems, the robotic system has uncertainty, or it would be advantageous to identify multiple high quality feasible solutions. To enable…

Robotics · Computer Science 2025-06-03 Griffin Tabor , Tucker Hermans

The sliding cubes model is a well-established theoretical framework that supports the analysis of reconfiguration algorithms for modular robots consisting of face-connected cubes. The best algorithm currently known for the reconfiguration…

Computational Geometry · Computer Science 2023-12-27 Irina Kostitsyna , Tim Ophelders , Irene Parada , Tom Peters , Willem Sonke , Bettina Speckmann

In response to the growing challenges of manual labor and efficiency in warehouse operations, Amazon has embarked on a significant transformation by incorporating robotics to assist with various tasks. While a substantial number of robots…

Robotics · Computer Science 2025-07-30 Owais Ahmed , M Huzaifa , M Areeb , Hamza Ali Khan

We propose an exact polynomial algorithm for a resource allocation problem with convex costs and constraints on partial sums of resource consumptions, in the presence of either continuous or integer variables. No assumption of strict…

Data Structures and Algorithms · Computer Science 2014-04-29 Thibaut Vidal , Patrick Jaillet , Nelson Maculan

Transaction scheduling is crucial to efficiently allocate shared resources in a conflict-free manner in distributed systems. We investigate the efficient scheduling of transactions in a network of fog-cloud computing model, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Ramesh Adhikari , Costas Busch , Pavan Poudel