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The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

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

Consolidation of loose packages into transport units is a fundamental activity offered by logistics service-providers. Moving the transport units instead of loose packages is faster (with one movement only, multiple packages are loaded…

Optimization and Control · Mathematics 2022-10-24 Enrico Angelelli , Claudia Archetti , Lorenzo Peirano

The Bin Packing Problem is a classic problem with wide industrial applicability. In fact, the efficient packing of items into bins is one of the toughest challenges in many logistic corporations and is a critical issue for reducing storage…

Artificial Intelligence · Computer Science 2024-02-16 Sebastián V. Romero , Eneko Osaba , Esther Villar-Rodriguez , Antón Asla

In this paper we present a fast scalable heuristic for bin packing that partitions the given problem into identical sub-problems of constant size and solves these constant size sub-problems by considering only a constant number of bin…

Data Structures and Algorithms · Computer Science 2019-04-30 Srikrishnan Divakaran

Recent progress in the field of robotic manipulation has generated interest in fully automatic object packing in warehouses. This paper proposes a formulation of the packing problem that is tailored to the automated warehousing domain.…

Robotics · Computer Science 2018-12-12 Fan Wang , Kris Hauser

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

Data Structures and Algorithms · Computer Science 2017-11-09 S. Polyakovskiy , R. M'Hallah

Cutting and packing problems are present in many, at first glance unconnected, areas, therefore it's beneficial to have a good understanding of their underlying structure, to select proper techniques for finding solutions. Cutting and…

Optimization and Control · Mathematics 2023-11-14 Szymon Wróbel

We propose a Deep Reinforcement Learning (Deep RL) algorithm for solving the online 3D bin packing problem for an arbitrary number of bins and any bin size. The focus is on producing decisions that can be physically implemented by a robotic…

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

The Variable Sized Bin Packing Problem has a wide range of application areas including packing, scheduling, and manufacturing. Given a list of items and variable sized bin types, the objective is to minimize the total size of the used bins.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-02 Qadha'a AlEnezi , Hosam AboElFotoh , Bader AlBdaiwi , Mohammad Ali AlMulla

The three-dimensional bin packing problem (3D-BPP) plays an important role in city logistics and manufacturing environments, due to its direct relevance to operational cost. Most existing literature have investigated the conventional…

Computational Geometry · Computer Science 2022-07-01 Qiruyi Zuo , Xinglu Liu , Wai Kin Victor Chan

We tackle the Online 3D Bin Packing Problem, a challenging yet practically useful variant of the classical Bin Packing Problem. In this problem, the items are delivered to the agent without informing the full sequence information. Agent…

Robotics · Computer Science 2023-06-05 Hang Zhao , Chenyang Zhu , Xin Xu , Hui Huang , Kai Xu

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

We study a two-dimensional generalization of the classical Bin Packing problem, denoted as 2D Demand Bin Packing. In this context, each bin is a horizontal timeline, and rectangular tasks (representing electric appliances or computational…

Data Structures and Algorithms · Computer Science 2025-08-20 Susanne Albers , Waldo Gálvez , Ömer Behic Özdemir

Bin Packing problems have been widely studied because of their broad applications in different domains. Known as a set of NP-hard problems, they have different vari- ations and many heuristics have been proposed for obtaining approximate…

Machine Learning · Computer Science 2017-02-16 Feng Mao , Edgar Blanco , Mingang Fu , Rohit Jain , Anurag Gupta , Sebastien Mancel , Rong Yuan , Stephen Guo , Sai Kumar , Yayang Tian

This paper tackles the problem of finding optimal variable-height transport packaging. The goal is to reduce the empty space left in a box when shipping goods to customers, thereby saving on filler and reducing waste. We cast this problem…

Optimization and Control · Mathematics 2023-08-03 Alain Lehmann , Wilhelm Kleiminger , Hakim Invernizzi , Aurel Gautschi

In this paper, a new type of 3D bin packing problem (BPP) is proposed, in which a number of cuboid-shaped items must be put into a bin one by one orthogonally. The objective is to find a way to place these items that can minimize the…

Artificial Intelligence · Computer Science 2017-08-22 Haoyuan Hu , Xiaodong Zhang , Xiaowei Yan , Longfei Wang , Yinghui Xu

Two-dimensional bin packing problems are highly relevant combinatorial optimization problems. They find a large number of applications, for example, in the context of transportation or warehousing, and for the cutting of different materials…

Artificial Intelligence · Computer Science 2012-09-06 Christian Blum , Verena Schmid , Lukas Baumgartner

The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem…

Data Structures and Algorithms · Computer Science 2015-08-07 Abdolahad Noori Zehmakan
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