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Modern 3D printing technologies and the upcoming mass-customization paradigm call for efficient methods to produce and distribute arbitrarily-shaped 3D objects. This paper introduces an original algorithm to split a 3D model in parts that…

Graphics · Computer Science 2021-04-13 Marco Attene

Balanced circular bin packing problems consist in positioning a given number of weighted circles in order to minimize the radius of a circular container while satisfying equilibrium constraints. These problems are NP-hard, highly…

Artificial Intelligence · Computer Science 2023-06-07 Juliette Gamot , Mathieu Balesdent , Romain Wuilbercq , Arnault Tremolet , Nouredine Melab , El-Ghazali Talbi

Consider the classical Bin Packing problem with $d$ different item sizes $s_i$ and amounts of items $a_i.$ The support of a Bin Packing solution is the number of differently filled bins. In this work, we show that the lower bound on the…

Data Structures and Algorithms · Computer Science 2026-03-31 Klaus Jansen , Felix Ohnesorge , Lis Pirotton , Malte Tutas

We study the $d$-dimensional Vector Bin Packing ($d$VBP) problem, a generalization of Bin Packing with central applications in resource allocation and scheduling. In $d$VBP, we are given a set of items, each of which is characterized by a…

Data Structures and Algorithms · Computer Science 2023-05-01 Ariel Kulik , Matthias Mnich , Hadas Shachnai

Nowadays, fast delivery services have created the need for high-density warehouses. The puzzle-based storage system is a practical way to enhance the storage density, however, facing difficulties in the retrieval process. In this work, a…

Machine Learning · Computer Science 2022-02-09 Jing He , Xinglu Liu , Qiyao Duan , Wai Kin Victor Chan , Mingyao Qi

In the (1-dimensional) bin packing problem, we are asked to pack all the given items into bins, each of capacity one, so that the number of non-empty bins is minimized. Zhu~[Chaos, Solitons \& Fractals 2016] proposed an approximation…

Data Structures and Algorithms · Computer Science 2025-09-23 Hiroshi Fujiwara , Rina Atsumi , Hiroaki Yamamoto

The Rank Pricing Problem (RPP) is a challenging bilevel optimization problem with binary variables whose objective is to determine the optimal pricing strategy for a set of products to maximize the total benefit, given that customer…

Optimization and Control · Mathematics 2025-02-27 Asunción Jiménez-Cordero , Salvador Pineda , Juan Miguel Morales

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

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

In the recent paper \cite{BDT10} we introduced a new problem that we call Bin Packing/Covering with Delivery, or BP/CD for short. Mainly we mean under this expression that we look for not only a good, but a "good and fast" packing or…

Data Structures and Algorithms · Computer Science 2015-03-20 Gyorgy Dosa , Zsolt Tuza

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

Coverage path planning (CPP) is the problem of finding a path that covers the entire free space of a confined area, with applications ranging from robotic lawn mowing to search-and-rescue. When the environment is unknown, the path needs to…

Robotics · Computer Science 2024-06-10 Arvi Jonnarth , Jie Zhao , Michael Felsberg

Unstructured neural network pruning algorithms have achieved impressive compression rates. However, the resulting - typically irregular - sparse matrices hamper efficient hardware implementations, leading to additional memory usage and…

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

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

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

In this research, we tackle the problem of picking an object from randomly stacked pile. Since complex physical phenomena of contact among objects and fingers makes it difficult to perform the bin-picking with high success rate, we consider…

Robotics · Computer Science 2018-05-24 Ryo Matsumura , Kensuke Harada , Yukiyasu Domae , Weiwei Wan

This paper addresses the Quadratic Multiple Constraints Variable-Sized Bin Packing Problem (QMC-VSBPP), a challenging combinatorial optimization problem that generalizes the classical bin packing problem by incorporating multiple capacity…

Neural and Evolutionary Computing · Computer Science 2026-03-27 Natalia A. Santos , Marlon Jeske , Antonio A. Chaves

We propose a novel formulation of robotic pick and place as a deep reinforcement learning (RL) problem. Whereas most deep RL approaches to robotic manipulation frame the problem in terms of low level states and actions, we propose a more…

Robotics · Computer Science 2018-02-26 Marcus Gualtieri , Andreas ten Pas , Robert Platt

This paper looks into the problem of grasping unknown objects in a cluttered environment using 3D point cloud data obtained from a range or an RGBD sensor. The objective is to identify graspable regions and detect suitable grasp poses from…

Robotics · Computer Science 2018-07-30 Olyvia Kundu , Swagat Kumar