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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)…

计算几何 · 计算机科学 2025-08-28 Jeroen Gardeyn , Tony Wauters

The future of artificial intelligence (AI) acceleration demands a paradigm shift beyond the limitations of purely electronic or photonic architectures. Photonic analog computing delivers unmatched speed and parallelism but struggles with…

We study a dynamic vector bin packing (DVBP) problem. We show hardness for shrinking arbitrary DVBP instances to size polynomial in the number of request types or in the maximal number of requests overlapping in time. We also present a…

数据结构与算法 · 计算机科学 2023-07-20 René van Bevern , Andrey Melnikov , Pavel Smirnov , Oxana Tsidulko

Genetic algorithms have been used in recent decades to solve a broad variety of search problems. These algorithms simulate natural selection to explore a parameter space in search of solutions for a broad variety of problems. In this paper,…

神经与进化计算 · 计算机科学 2022-03-25 Yoshio Martinez , Katya Rodriguez , Carlos Gershenson

We present a first exact study on higher-dimensional packing problems with order constraints. Problems of this type occur naturally in applications such as logistics or computer architecture and can be interpreted as higher-dimensional…

数据结构与算法 · 计算机科学 2007-05-23 Sandor P. Fekete , Ekkehard Koehler , Juergen Teich

We consider two well-known natural variants of bin packing, and show that these packing problems admit asymptotic fully polynomial time approximation schemes (AFPTAS). In bin packing problems, a set of one-dimensional items of size at most…

数据结构与算法 · 计算机科学 2012-02-16 Leah Epstein , Asaf Levin

In this paper, we evaluate the efficacy, in a Hadoop setting, of two coding schemes, both possessing an inherent double replication of data. The two coding schemes belong to the class of regenerating and locally regenerating codes…

In this article, the reproducing kernel Hilbert space [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algorithm. The reproducing kernel function is built to get fast…

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…

机器人学 · 计算机科学 2025-09-05 Hang Zhao , Juzhan Xu , Kexiong Yu , Ruizhen Hu , Chenyang Zhu , Bo Du , Kai Xu

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…

图形学 · 计算机科学 2021-04-13 Marco Attene

The subset sum algorithm is a natural heuristic for the classical Bin Packing problem: In each iteration, the algorithm finds among the unpacked items, a maximum size set of items that fits into a new bin. More than 35 years after its first…

计算机科学与博弈论 · 计算机科学 2009-07-27 Leah Epstein , Elena Kleiman , Julian Mestre

We study the problem of computing a full Conjunctive Query in parallel using $p$ heterogeneous machines. Our computational model is similar to the MPC model, but each machine has its own cost function mapping from the number of bits it…

数据库 · 计算机科学 2025-03-12 Simon Frisk , Paraschos Koutris

Cutting and packing problems arise in a large variety of industrial applications, where there is a need to cut pieces from a large object, or placing them inside a containers, without overlap. When the pieces or the containers have…

计算几何 · 计算机科学 2019-03-28 Pedro Rocha

We consider the problem of finding high dimensional approximate nearest neighbors. Suppose there are d independent rare features, each having its own independent statistics. A point x will have x_{i}=0 denote the absence of feature i, and…

信息论 · 计算机科学 2008-10-24 Moshe Dubiner

Consider a high-multiplicity Bin Packing instance $I$ with $d$ distinct item types. In 2014, Goemans and Rothvoss gave an algorithm with runtime ${{|I|}^2}^{O(d)}$ for this problem~[SODA'14], where $|I|$ denotes the encoding length of the…

计算复杂性 · 计算机科学 2026-05-19 Klaus Jansen , Felix Ohnesorge , Lis Pirotton

Growing demand for sustainable logistics and higher space utilization, driven by e-commerce and urbanization, increases the need for storage systems that are both energy- and space-efficient. Compact storage systems aim to maximize space…

计算复杂性 · 计算机科学 2025-10-16 Malte Fliedner , Julian Golak , Yağmur Gül , Simone Neumann

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

机器学习 · 计算机科学 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

The Matrix Bandwidth Minimization Problem (MBMP) seeks for a simultaneous reordering of the rows and the columns of a square matrix such that the nonzero entries are collected within a band of small width close to the main diagonal. The…

人工智能 · 计算机科学 2020-07-28 Gabriela Czibula , Gloria Cerasela Crisan , Camelia-M. Pintea , Istvan-Gergely Czibula

The Continuous p-Dispersion Problem (CpDP) with boundary constraints asks for the placement of a fixed number of points in a compact subset of Euclidean space such that the minimum distance between any two points, as well as the points and…

最优化与控制 · 数学 2026-03-02 Sanjay Manoj , Melkior Ornik

Binary embedding is a nonlinear dimension reduction methodology where high dimensional data are embedded into the Hamming cube while preserving the structure of the original space. Specifically, for an arbitrary $N$ distinct points in…

数据结构与算法 · 计算机科学 2019-01-24 Xinyang Yi , Constantine Caramanis , Eric Price