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Efficient packing of items into bins is a common daily task. Known as Bin Packing Problem, it has been intensively studied in the field of artificial intelligence, thanks to the wide interest from industry and logistics. Since decades, many…

Emerging Technologies · Computer Science 2023-08-04 Sebastián V. Romero , Eneko Osaba , Esther Villar-Rodriguez , Izaskun Oregi , Yue Ban

We address the bin packing problem (BPP), which aims to maximize bin utilization when packing a variety of items. The offline problem, where the complete information about the item set and their sizes is known in advance, is proven to be…

Robotics · Computer Science 2025-10-16 Beomjoon Lee , Changjoo Nam

The planning and control of a robot swarm in a complex environment have attracted increasing attention. To this end, the idea of virtual tubes has been taken up in our previous work. Specifically, a virtual tube with varying widths has been…

Robotics · Computer Science 2023-10-03 Wenqi Song , Yan Gao , Quan Quan

The Bin Packing Problem (BPP) has attracted enthusiastic research interest recently, owing to widespread applications in logistics and warehousing environments. It is truly essential to optimize the bin packing to enable more objects to be…

Robotics · Computer Science 2024-03-20 Baoying Wang , Huixu Dong

This work proposes a strategy for organising quadrotors around a payload to enable hovering without external stimuli, together with a MATLAB software for modelling the dynamics of a quadrotor-payload system. Based on geometric concepts, the…

Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

Data Structures and Algorithms · Computer Science 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

This paper presents a novel method for efficiently solving a trajectory planning problem for swarm robotics in cluttered environments. Recent research has demonstrated high success rates in real-time local trajectory planning for swarm…

Robotics · Computer Science 2023-11-08 Pengda Mao , Rao Fu , Quan Quan

Purpose: To present an algorithm for spatially sorting objects into an annular structure. Design/Methodology/Approach: A swarm-based model that requires only stochastic agent behaviour coupled with a pheromone-inspired…

Artificial Intelligence · Computer Science 2008-05-13 Martyn Amos , Oliver Don

We study parallel algorithms for the classical balls-into-bins problem, in which $m$ balls acting in parallel as separate agents are placed into $n$ bins. Algorithms operate in synchronous rounds, in each of which balls and bins exchange…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-17 Christoph Lenzen , Merav Parter , Eylon Yogev

The 3D bin packing problem, with its diverse industrial applications, has garnered significant research attention in recent years. Existing approaches typically model it as a discrete and static process, while real-world applications…

Robotics · Computer Science 2025-11-26 Lidi Zhang , Han Wu , Liyu Zhang , Ruofeng Liu , Haotian Wang , Chao Li , Desheng Zhang , Yunhuai Liu , Tian He

For dealing with the equal sphere packing problem, we propose a serial symmetrical relocation algorithm, which is effective in terms of the quality of the numerical results. We have densely packed up to 200 equal spheres in spherical…

Discrete Mathematics · Computer Science 2012-02-21 WenQi Huang , Liang Yu

Efficient cargo packing and transport unit stacking play a vital role in enhancing logistics efficiency and reducing costs in the field of logistics. This article focuses on the challenging problem of loading transport units onto pallets,…

Robotics · Computer Science 2023-08-04 Marko Švaco , Filip Šuligoj , Bojan Šekoranja , Josip Vidaković

This paper presents a scalable online algorithm to generate safe and kinematically feasible trajectories for quadrotor swarms. Existing approaches rely on linearizing Euclidean distance-based collision constraints and on axis-wise…

Robotics · Computer Science 2023-03-10 Vivek K. Adajania , Siqi Zhou , Arun Kumar Singh , Angela P. Schoellig

This paper proposes a novel approach based on deep reinforcement learning (DRL) for the 2D+1 packing problem with spatial constraints. This problem is an extension of the traditional 2D packing problem, incorporating an additional…

Machine Learning · Computer Science 2025-03-25 Victor Ulisses Pugliese , Oséias F. de A. Ferreira , Fabio A. Faria

We explore approximation algorithms for the $d$-dimensional geometric bin packing problem ($d$BP). Caprara (MOR 2008) gave a harmonic-based algorithm for $d$BP having an asymptotic approximation ratio (AAR) of $T_{\infty}^{d-1}$ (where…

Computational Geometry · Computer Science 2021-09-28 Eklavya Sharma

We present new approximation schemes for bin packing based on the following two approaches: (1) partitioning the given problem into mostly identical sub-problems of constant size and then construct a solution by combining the solutions of…

Data Structures and Algorithms · Computer Science 2019-02-12 Srikrishnan Divakaran

A novel and intuitive nearest neighbours based clustering algorithm is introduced, in which a cluster is defined in terms of an equilibrium condition which balances its size and cohesiveness. The formulation of the equilibrium condition…

Machine Learning · Computer Science 2025-03-31 David P. Hofmeyr

The Submodular Bin Packing (SMBP) problem asks for packing unsplittable items into a minimal number of bins for which the capacity utilization function is submodular. SMBP is equivalent to chance-constrained and robust bin packing problems…

Optimization and Control · Mathematics 2023-09-12 Liding Xu , Claudia D'Ambrosio , Sonia Haddad Vanier , Emiliano Traversi

Modern cities are growing ecosystems that face new challenges due to the increasing population demands. One of the many problems they face nowadays is waste management, which has become a pressing issue requiring new solutions. Swarm…

We have employed Particle Swarm Optimization to address a stochastic variant of the Smallest Enclosing Sphere estimation problem. An efficient algorithm has been developed to ascertain the optimal center and radius of a sphere encompassing…

Optimization and Control · Mathematics 2024-01-01 Netzer Moriya