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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

We introduce a new bin packing problem, termed the circle bin packing problem with circular items (CBPP-CI). The problem involves packing all the circular items into multiple identical circle bins as compact as possible with the objective…

Computational Geometry · Computer Science 2021-08-09 Yong Yuan , Kevin Tole , Fei Ni , Kun He , Zhengda Xiong , Jinfa Liu

In this study, we present a block-based heuristic search algorithm to address the nuclear waste container packing problem in the context of real-world nuclear power plants. Additionally, we provide a dataset comprising 1600 problem…

Optimization and Control · Mathematics 2025-03-13 Yajie Wen , Defu Zhang

Object rearrangement is a fundamental problem in robotics with various practical applications ranging from managing warehouses to cleaning and organizing home kitchens. While existing research has primarily focused on single-agent…

Robotics · Computer Science 2023-11-07 Vivek Gupta , Praphpreet Dhir , Jeegn Dani , Ahmed H. Qureshi

The Split Packing algorithm \cite{splitpacking_ws, splitpackingsoda, splitpacking} is an offline algorithm that packs a set of circles into triangles and squares up to critical density. In this paper, we develop an online alternative to…

Computational Geometry · Computer Science 2018-11-22 Shunhao Oh , Seth Gilbert

Ant Colony Optimization (ACO) is a well-known method inspired by the foraging behavior of ants and is extensively used to solve combinatorial optimization problems. In this paper, we first consider a general framework based on the concept…

Data Structures and Algorithms · Computer Science 2025-01-22 Bodo Manthey , Jesse van Rhijn , Ashkan Safari , Tjark Vredeveld

We study the two-dimensional hierarchical rectangle packing problem, motivated by applications in analog integrated circuit layout, facility layout, and logistics. Unlike classical strip or bin packing, the dimensions of the container are…

Computational Geometry · Computer Science 2025-12-24 Josef Grus , Zdeněk Hanzálek , Christian Artigues , Cyrille Briand , Emmanuel Hebrard

This paper proves a corner occupying theorem for the two-dimensional integral rectangle packing problem, stating that if it is possible to orthogonally place n arbitrarily given integral rectangles into an integral rectangular container…

Discrete Mathematics · Computer Science 2011-11-17 Wenqi Huang , Tao Ye , Duanbing Chen

A large number of experimental data shows that Support Vector Machine (SVM) algorithm has obvious advantages in text classification, handwriting recognition, image classification, bioinformatics, and some other fields. To some degree, the…

Neural and Evolutionary Computing · Computer Science 2014-05-21 Chao Zhang , Hong-cen Mei , Hao Yang

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

Column generation (CG) is a powerful technique for solving optimization problems that involve a large number of variables or columns. This technique begins by solving a smaller problem with a subset of columns and gradually generates…

Neural and Evolutionary Computing · Computer Science 2024-07-03 Hongjie Xu , Yunzhuang Shen , Yuan Sun , Xiaodong Li

Hough transform (HT) has been the most common method for circle detection, exhibiting robustness, but adversely demanding considerable computational effort and large memory requirements. Alternative approaches include heuristic methods that…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Erik Cuevas , Felipe Sencion-Echauri , Daniel Zaldivar , Marco Perez Cisneros

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 paper proves a bottom-left placement theorem for the rectangle packing problem, stating that if it is possible to orthogonally place n arbitrarily given rectangles into a rectangular container without overlapping, then we can achieve a…

Discrete Mathematics · Computer Science 2011-07-25 Wenqi Huang , Tao Ye , Duanbing Chen

In this paper, we study a new Workforce Scheduling and Routing Problem, denoted Multiperiod Workforce Scheduling and Routing Problem with Dependent Tasks. In this problem, customers request services from a company. Each service is composed…

Artificial Intelligence · Computer Science 2020-08-10 Dilson Lucas Pereira , Júlio César Alves , Mayron César de Oliveira Moreira

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 investigate approximation algorithms for several fundamental optimization problems on geometric packing. The geometric objects considered are very generic, namely $d$-dimensional convex fat objects. Our main contribution is a versatile…

Computational Geometry · Computer Science 2025-01-03 Vítor Gomes Chagas , Elisa Dell'Arriva , Flávio Keidi Miyazawa

In this research we used bio-inspired metaheuristics, as artificial immune systems and ant colony algorithms that are based on a number of characteristics and behaviors of living things that are interesting in the computer science area.…

Neural and Evolutionary Computing · Computer Science 2017-11-22 Edson Florez , Nelson Diaz , Wilfredo Gomez , Lola Bautista , Dario Delgado

We introduce a novel strategy for multi-robot sorting of waste objects using Reinforcement Learning. Our focus lies on finding optimal picking strategies that facilitate an effective coordination of a multi-robot system, subject to…

Robotics · Computer Science 2024-09-23 Tizian Jermann , Hendrik Kolvenbach , Fidel Esquivel Estay , Koen Kramer , Marco Hutter

We tackle the Thief Orienteering Problem (ThOP), an academic multi-component problem that combines two classical combinatorial problems, namely the Knapsack Problem and the Orienteering Problem. In the ThOP, a thief has a time limit to…

Neural and Evolutionary Computing · Computer Science 2021-10-28 Jonatas B. C. Chagas , Markus Wagner