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We study three fundamental three-dimensional (3D) geometric packing problems: 3D (Geometric) Bin Packing (3D-BP), 3D Strip Packing (3D-SP), and Minimum Volume Bounding Box (3D-MVBB), where given a set of 3D (rectangular) cuboids, the goal…

Computational Geometry · Computer Science 2025-04-22 Debajyoti Kar , Arindam Khan , Malin Rau

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

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

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

Cutting and Packing problems are occurring in different industries with a direct impact on the revenue of businesses. Generally, the goal in Cutting and Packing is to assign a set of smaller objects to a set of larger objects. To solve…

Artificial Intelligence · Computer Science 2021-10-28 Stefan Böhm , Martin Neumayer , Oliver Kramer , Alexander Schiendorfer , Alois Knoll

A 3D flexible bin packing problem (3D-FBPP) arises from the process of warehouse packing in e-commerce. An online customer's order usually contains several items and needs to be packed as a whole before shipping. In particular, 5% of tens…

Machine Learning · Computer Science 2019-02-18 Lu Duan , Haoyuan Hu , Yu Qian , Yu Gong , Xiaodong Zhang , Yinghui Xu , Jiangwen Wei

This paper addresses the two-dimensional bin packing problem with guillotine constraints. The problem requires a set of rectangular items to be cut from larger rectangles, known as bins, while only making use of edge-to-edge (guillotine)…

Computational Geometry · Computer Science 2025-08-28 Jeroen Gardeyn , Tony Wauters

This paper presents theoretical and practical results for the bin packing problem with scenarios, a generalization of the classical bin packing problem which considers the presence of uncertain scenarios, of which only one is realized. For…

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

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

We study the Colored Bin Packing Problem: we are given a set of items where each item has a weight and color. We must pack the items in bins of uniform capacity such that no two items of the same color may be adjacent within in a bin. The…

Data Structures and Algorithms · Computer Science 2015-09-01 Hamza Alsarhan , Davin Chia , Ananya Christman , Shannia Fu , Tony Jin

Online 3D Bin Packing Problem (3D-BPP) has widespread applications in industrial automation. Existing methods usually solve the problem with limited resolution of spatial discretization, and/or cannot deal with complex practical constraints…

Robotics · Computer Science 2025-09-05 Hang Zhao , Juzhan Xu , Kexiong Yu , Ruizhen Hu , Chenyang Zhu , Bo Du , Kai Xu

Bin packing is an algorithmic problem that arises in diverse applications such as remnant inventory systems, shipping logistics, and appointment scheduling. In its simplest variant, a sequence of $T$ items (e.g., orders for raw material,…

Data Structures and Algorithms · Computer Science 2022-03-15 Varun Gupta , Ana Radovanovic

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

We study the Min-Weighted Sum Bin Packing problem, a variant of the classical Bin Packing problem in which items have a weight, and each item induces a cost equal to its weight multiplied by the index of the bin in which it is packed. This…

Data Structures and Algorithms · Computer Science 2023-04-06 Guillaume Sagnol

We solve a challenging yet practically useful variant of 3D Bin Packing Problem (3D-BPP). In our problem, the agent has limited information about the items to be packed into the bin, and an item must be packed immediately after its arrival…

Machine Learning · Computer Science 2022-01-14 Hang Zhao , Qijin She , Chenyang Zhu , Yin Yang , Kai Xu

The 3D Bin Packing Problem (3D-BPP) is one of the most demanded yet challenging problems in industry, where an agent must pack variable size items delivered in sequence into a finite bin with the aim to maximize the space utilization. It…

Robotics · Computer Science 2022-08-16 Aaron Valero Puche , Sukhan Lee

In the Colored Bin Packing problem a set of items with varying weights and colors must be packed into bins of uniform weight limit such that no two items of the same color may be packed adjacently within a bin. We solve this problem for the…

Data Structures and Algorithms · Computer Science 2015-11-17 Hamza Alsarhan , Davin Chia , Ananya Christman , Shannia Fu , Yanfeng Jin

Many order fulfillment applications in logistics, such as packing, involve picking objects from unstructured piles before tightly arranging them in bins or shipping containers. Desirable robotic solutions in this space need to be low-cost,…

In this paper we propose an improved approximation scheme for the Vector Bin Packing problem (VBP), based on the combination of (near-)optimal solution of the Linear Programming (LP) relaxation and a greedy (modified first-fit) heuristic.…

Data Structures and Algorithms · Computer Science 2010-07-09 Chetan S Rao , Jeffrey John Geevarghese , Karthik Rajan