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Packing problems are in general NP-hard, even for simple cases. Since now there are no highly efficient algorithms available for solving packing problems. The two-dimensional bin packing problem is about packing all given rectangular items,…

Neural and Evolutionary Computing · Computer Science 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

Swarm foraging is a common test case application for multi-robot systems. In this paper we present a novel algorithm for controlling swarm robots with limited communication range and storage capacity to efficiently search for and retrieve…

Robotics · Computer Science 2019-06-18 Simon O. Obute , Mehmet R. Dogar , Jordan H. Boyle

Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems can be used to model task and resource allocation problems in…

Artificial Intelligence · Computer Science 2011-10-12 A. S. Fukunaga , R. E. Korf

We investigate algorithmic approaches for targeted drug delivery in a complex, maze-like environment, such as a vascular system. The basic scenario is given by a large swarm of micro-scale particles (''agents'') and a particular target…

Computational Geometry · Computer Science 2024-08-20 Aaron T. Becker , Sándor P. Fekete , Li Huang , Phillip Keldenich , Linda Kleist , Dominik Krupke , Christian Rieck , Arne Schmidt

This paper investigates efficient techniques to collect and concentrate an under-actuated particle swarm despite obstacles. Concentrating a swarm of particles is of critical importance in health-care for targeted drug delivery, where…

Robotics · Computer Science 2017-01-03 Arun V. Mahadev , Dominik Krupke , Jan-Marc Reinhardt , Sándor P. Fekete , Aaron T. Becker

In this work, we study the square min-sum bin packing problem (SMSBPP), where a list of square items has to be packed into indexed square bins of dimensions $1 \times 1$ with no overlap between the areas of the items. The bins are indexed…

Data Structures and Algorithms · Computer Science 2023-07-14 Rachel Vanucchi Saraiva , Rafael C. S. Schouery

This paper presents an efficient deep reinforcement learning (DRL) framework for online 3D bin packing (3D-BPP). The 3D-BPP is an NP-hard problem significant in logistics, warehousing, and transportation, involving the optimal arrangement…

Robotics · Computer Science 2024-08-20 Peiwen Zhou , Ziyan Gao , Chenghao Li , Nak Young Chong

The online 3D bin packing problem is important in logistics, warehousing and intelligent manufacturing, with solutions shifting to deep reinforcement learning (DRL) which faces challenges like low sample efficiency. This paper proposes a…

Robotics · Computer Science 2026-04-14 Jie Han , Tong Li , Qingyang Xu , Yong Song , Bao Pang , Xianfeng Yuan

In this paper, we introduce a semi-decentralized control technique for a swarm of robots transporting a fragile object to a destination in an uncertain occluded environment.The proposed approach has been split into two parts. The initial…

Robotics · Computer Science 2022-09-14 Dibyendu Roy , Sreejeet Maity , Madhubanti Maitra , Samar Bhattacharya

The problem of packing equal circles in a circle is a classic and famous packing problem, which is well-studied in academia and has a variety of applications in industry. This problem is computationally challenging, and researchers mainly…

Computational Geometry · Computer Science 2023-03-09 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li

Bin Packing with Conflicts (BPC) are problems in which items with compatibility constraints must be packed in the least number of bins, not exceeding the capacity of the bins and ensuring that non-conflicting items are packed in each bin.…

Data Structures and Algorithms · Computer Science 2019-05-10 Luiz F. O. Moura Santos , Hugo T. Y. Yoshizaki , Claudio B. Cunha

We study dense packings of a large number of congruent non-overlapping circles inside a square by looking for configurations which maximize the packing density, defined as the ratio between the area occupied by the disks and the area of the…

Soft Condensed Matter · Physics 2022-05-23 Paolo Amore , Tenoch Morales

Efficient virtual machine load balancing scheduling is crucial in cloud computing to optimize resource utilization and system performance. To address this issue, several load balancing scheduling algorithms have been proposed, including…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-25 Priyank Vaidya , Abhinav Sharma , Murli Patel

Consider a swarm of particles controlled by global inputs. This paper presents algorithms for shaping such swarms in 2D using boundary walls. The range of configurations created by conforming a swarm to a boundary wall is limited. We…

Robotics · Computer Science 2016-09-08 Shiva Shahrokhi , Arun Mahadev , Aaron T. Becker

We consider a variant of the classical Bin Packing Problem, called Fully Dynamic Bin Packing. In this variant, items of a size in $(0,1]$ must be packed in bins of unit size. In each time step, an item either arrives or departs from the…

Data Structures and Algorithms · Computer Science 2018-05-25 Björn Feldkord , Matthias Feldotto , Sören Riechers

In this paper we present a theoretical analysis of the deterministic on-line {\em Sum of Squares} algorithm ($SS$) for bin packing introduced and studied experimentally in \cite{CJK99}, along with several new variants. $SS$ is applicable to…

Data Structures and Algorithms · Computer Science 2007-05-23 Janos Csirik , David S. Johnson , Claire Kenyon , James B. Orlin , Peter W. Shor , Richard R. Weber

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

In this paper we consider the problem of packing a fixed number of identical circles inside the unit circle container, where the packing is complicated by the presence of fixed size circular prohibited areas. Here the objective is to…

Optimization and Control · Mathematics 2018-11-05 C. O. Lopez , J. E. Beasley

We consider the positioning problem of aerial drone systems for efficient three-dimensional (3-D) coverage. Our solution draws from molecular geometry, where forces among electron pairs surrounding a central atom arrange their positions. In…

Networking and Internet Architecture · Computer Science 2016-07-19 Matthias R. Brust , Mustafa Ilhan Akbas , Damla Turgut

In this paper we consider the Online Bin Packing Problem in three variants: Circles in Squares, Circles in Isosceles Right Triangles, and Spheres in Cubes. The two first ones receive an online sequence of circles (items) of different radii…

Data Structures and Algorithms · Computer Science 2017-08-30 Carla Negri Lintzmayer , Flávio Keidi Miyazawa , Eduardo Candido Xavier