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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,…

神经与进化计算 · 计算机科学 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

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

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…

机器人学 · 计算机科学 2024-03-20 Baoying Wang , Huixu Dong

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

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…

数据结构与算法 · 计算机科学 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

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…

数据结构与算法 · 计算机科学 2023-04-06 Guillaume Sagnol

The online bin packing problem and its variants are regularly used to model server allocation problems. Modern concerns surrounding sustainability and overcommitment in cloud computing motivate bin packing models that capture costs…

数据结构与算法 · 计算机科学 2025-11-03 Jackson Bibbens , Cooper Sigrist , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

We revisit the classic online bin packing problem. In this problem, items of positive sizes no larger than 1 are presented one by one to be packed into subsets called "bins" of total sizes no larger than 1, such that every item is assigned…

数据结构与算法 · 计算机科学 2017-07-07 János Balogh , József Békési , György Dósa , Leah Epstein , Asaf Levin

We study the classic Bin Packing problem in a fully-dynamic setting, where new items can arrive and old items may depart. We want algorithms with low asymptotic competitive ratio \emph{while repacking items sparingly} between updates.…

数据结构与算法 · 计算机科学 2018-05-18 Anupam Gupta , Guru Guruganesh , Amit Kumar , David Wajc

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…

数据结构与算法 · 计算机科学 2025-08-20 Susanne Albers , Waldo Gálvez , Ömer Behic Özdemir

In the bin covering problem, the goal is to fill as many bins as possible up to a certain minimal level with a given set of items of different sizes. Online variants, in which the items arrive one after another and have to be packed…

数据结构与算法 · 计算机科学 2015-12-16 Carsten Fischer , Heiko Röglin

We present an $n\Delta^{O(k^2)}$ time algorithm to obtain an optimal solution for $1$-dimensional cutting stock problem: the bin packing problem of packing $n$ items onto unit capacity bins under the restriction that the number of item…

离散数学 · 计算机科学 2020-01-07 Srikrishnan Divakaran

Robotic-based compact storage and retrieval systems provide high-density storage in distribution center and warehouse applications. In the system, items are stored in bins, and the bins are organized inside a three-dimensional grid. Robots…

机器人学 · 计算机科学 2023-12-12 Anni Yue , Stephen L. Smith

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

We study the following variant of the classic {\em bin packing} problem. Given a set of items of various sizes, partitioned into groups, find a packing of the items in a minimum number of identical (unit-size) bins, such that no two items…

数据结构与算法 · 计算机科学 2021-06-08 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

人工智能 · 计算机科学 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

We consider the following generalization of the bin packing problem. We are given a set of items each of which is associated with a rational size in the interval [0,1], and a monotone non-decreasing non-negative cost function f defined over…

数据结构与算法 · 计算机科学 2024-07-11 G. Jaykrishnan , Asaf Levin

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…

数据结构与算法 · 计算机科学 2015-03-20 Gyorgy Dosa , Zsolt Tuza

In this paper we present a theoretical analysis of the deterministic on-line {\em Sum of Squares} algorithm ($SS$) for bin packing introduced and studied experimentally in \cite{CJK99}, along with several new variants. $SS$ is applicable to…

数据结构与算法 · 计算机科学 2007-05-23 Janos Csirik , David S. Johnson , Claire Kenyon , James B. Orlin , Peter W. Shor , Richard R. Weber

We study an extension of the classical Bin Packing Problem, where each item consumes the bin capacity during a given time window that depends on the item itself. The problem asks for finding the minimum number of bins to pack all the items…

最优化与控制 · 数学 2019-02-14 Mauro Dell'Amico , Fabio Furini , Manuel Iori