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Recent LLM-driven discoveries have renewed interest in geometric packing problems. In this paper, we study several classes of such packing problems through the lens of modern global nonlinear optimization. Starting from comparatively direct…

Optimization and Control · Mathematics 2026-05-07 Timo Berthold , Dominik Kamp , Gioni Mexi , Sebastian Pokutta , Imre Polik

Warehouse automation plays a pivotal role in enhancing operational efficiency, minimizing costs, and improving resilience to workforce variability. While prior research has demonstrated the potential of machine learning (ML) models to…

Robotics · Computer Science 2025-06-12 Shuai Li , Azarakhsh Keipour , Sicong Zhao , Srinath Rajagopalan , Charles Swan , Kostas E. Bekris

Latest research in industrial robotics is aimed at making human robot collaboration possible seamlessly. For this purpose, industrial robots are expected to work on the fly in unstructured and cluttered environments and hence the subject of…

Robotics · Computer Science 2019-11-13 Indraneel Patil , B. K. Rout , V. Kalaichelvi

Virtual machine placement is a crucial challenge in cloud computing for efficiently utilizing physical machine resources in data centers. Virtual machine placement can be formulated as a MinUsageTime Dynamic Vector Bin Packing (DVBP)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-17 Zong Yu Lee , Xueyan Tang

We consider the Bin Packing problem with a partition matroid constraint. The input is a set of items of sizes in $(0,1]$, and a partition matroid over the items. The goal is to pack all items in a minimum number of unit-size bins, such that…

Data Structures and Algorithms · Computer Science 2023-05-16 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

The purpose of this paper is to propose and analyze a multi-step iterative algorithm to solve a convex optimization problem and a fixed point problem posed on a Hadamard space. The convergence properties of the proposed algorithm are…

Functional Analysis · Mathematics 2018-02-28 Muhammad Aqeel Ahmad Khan , Hafiza Arham Maqbool

Fast and safe manipulation of flexible objects with a robot manipulator necessitates measures to cope with vibrations. Existing approaches either increase the task execution time or require complex models and/or additional instrumentation…

Automating warehouse operations can reduce logistics overhead costs, ultimately driving down the final price for consumers, increasing the speed of delivery, and enhancing the resiliency to workforce fluctuations. The past few years have…

Robotics · Computer Science 2023-06-28 Shuai Li , Azarakhsh Keipour , Kevin Jamieson , Nicolas Hudson , Charles Swan , Kostas Bekris

To verify the correct operation of systems, engineers need to determine the set of configurations of a dynamical model that are able to safely reach a specified configuration under a control law. Unfortunately, constructing models for…

Optimization and Control · Mathematics 2016-01-07 Shankar Mohan , Victor Shia , Ram Vasudevan

We would like robots to achieve purposeful manipulation by placing any instance from a category of objects into a desired set of goal states. Existing manipulation pipelines typically specify the desired configuration as a target 6-DOF pose…

Robotics · Computer Science 2019-10-30 Lucas Manuelli , Wei Gao , Peter Florence , Russ Tedrake

In this paper, a kinematic motion planning algorithm for cooperative spatial payload manipulation is presented. A hierarchical approach is introduced to compute real-time collision-free motion plans for a formation of mobile manipulator…

This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the…

Optimization and Control · Mathematics 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

We present a fast algorithm for the design of smooth paths (or trajectories) that are constrained to lie in a collection of axis-aligned boxes. We consider the case where the number of these safe boxes is large, and basic preprocessing of…

Robotics · Computer Science 2024-01-04 Tobia Marcucci , Parth Nobel , Russ Tedrake , Stephen Boyd

We study a class of rearrangement problems under a novel pick-n-swap prehensile manipulation model, in which a robotic manipulator, capable of carrying an item and making item swaps, is tasked to sort items stored in lattices of variable…

Robotics · Computer Science 2023-01-18 Jingjin Yu

The paper develops a robotic manipulation system to treat the pressing needs for handling a large number of test tubes in clinical examination and replace or reduce human labor. It presents the technical details of the system, which…

Robotics · Computer Science 2020-05-08 Weiwei Wan , Takeyuki Kotaka , Kensuke Harada

Dense packing in pick-and-place systems is an important feature in many warehouse and logistics applications. Prior work in this space has largely focused on planning algorithms in simulation, but real-world packing performance is often…

Robotics · Computer Science 2023-08-02 Nikhil Mishra , Pieter Abbeel , Xi Chen , Maximilian Sieb

In the context of future manufacturing lines, removing fixtures will be a fundamental step to increase the flexibility of autonomous systems in assembly and logistic operations. Vision-based 3D pose estimation is a necessity to accurately…

Robotics · Computer Science 2020-10-05 Bjarne Grossmann , Francesco Rovida , Volker Krueger

The pebble-motion on graphs is a subcategory of multi-agent pathfinding problems dealing with moving multiple pebble-like objects from a node to a node in a graph with a constraint that only one pebble can occupy one node at a given time.…

Robotics · Computer Science 2020-07-21 Miroslav Kulich , Tomáš Novák , Libor Přeucil

In this paper we formulate the problem of packing unequal rectangles/squares into a fixed size circular container as a mixed-integer nonlinear program. Here we pack rectangles so as to maximise some objective (e.g. maximise the number of…

Optimization and Control · Mathematics 2018-02-22 C. O. López , J. E. Beasley

In this paper we deal with the restricted Block Relocation Problem. We present a new lower bound and a heuristic approach for the problem. The proposed lower bound can be computed in polynomial time and it is provably better than some…

Other Computer Science · Computer Science 2022-06-27 Tiziano Bacci , Sara Mattia , Paolo Ventura
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