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Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

最优化与控制 · 数学 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

Bin packing problem examines the minimum number of identical bins needed to pack a set of items of various weights. This problem arises in various areas of the artificial intelligence demanding derivation of the exact solutions in the…

最优化与控制 · 数学 2019-09-04 Masoud Ataei , Shengyuan Chen

In recent years, the throughput requirements of e-commerce fulfillment warehouses have seen a steep increase. This has resulted in various automation solutions being developed for item picking and movement. In this paper, we address the…

机器人学 · 计算机科学 2021-09-28 Avnish Gupta , Akash Jadhav , Pradyot VN Korupolu

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,…

数据结构与算法 · 计算机科学 2022-03-15 Varun Gupta , Ana Radovanovic

We study the online bin packing problem under two stochastic settings. In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the minimum number of unit-sized bins. First, we study bin packing…

数据结构与算法 · 计算机科学 2025-03-05 Nikhil Ayyadevara , Rajni Dabas , Arindam Khan , K. V. N. Sreenivas

In this paper, a new type of 3D bin packing problem (BPP) is proposed, in which a number of cuboid-shaped items must be put into a bin one by one orthogonally. The objective is to find a way to place these items that can minimize the…

人工智能 · 计算机科学 2017-08-22 Haoyuan Hu , Xiaodong Zhang , Xiaowei Yan , Longfei Wang , Yinghui Xu

We continue the study of two recently introduced bin packing type problems, called bin packing with clustering, and online bin packing with delays. A bin packing input consists of items of sizes not larger than 1, and the goal is to…

数据结构与算法 · 计算机科学 2019-08-20 Leah Epstein

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…

机器学习 · 计算机科学 2019-02-18 Lu Duan , Haoyuan Hu , Yu Qian , Yu Gong , Xiaodong Zhang , Yinghui Xu , Jiangwen Wei

Bin Packing problems have been widely studied because of their broad applications in different domains. Known as a set of NP-hard problems, they have different vari- ations and many heuristics have been proposed for obtaining approximate…

机器学习 · 计算机科学 2017-02-16 Feng Mao , Edgar Blanco , Mingang Fu , Rohit Jain , Anurag Gupta , Sebastien Mancel , Rong Yuan , Stephen Guo , Sai Kumar , Yayang Tian

Following the work of Anily et al., we consider a variant of bin packing, called "bin packing with general cost structures" (GCBP) and design an asymptotic fully polynomial time approximation scheme (AFPTAS) for this problem. In the classic…

数据结构与算法 · 计算机科学 2009-06-30 Leah Epstein , Asaf Levin

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…

人工智能 · 计算机科学 2012-09-06 Christian Blum , Verena Schmid , Lukas Baumgartner

We present new approximation schemes for bin packing based on the following two approaches: (1) partitioning the given problem into mostly identical sub-problems of constant size and then construct a solution by combining the solutions of…

数据结构与算法 · 计算机科学 2019-02-12 Srikrishnan Divakaran

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…

综合数学 · 数学 2025-08-25 Angshuman Robin Goswami

We present a new generalization of the extensible bin packing with unequal bin sizes problem. In our generalization the cost of exceeding the bin size depends on the index of the bin and not only on the amount in which the size of the bin…

数据结构与算法 · 计算机科学 2019-05-24 Asaf Levin

The three-dimensional bin packing problem (3D-BPP) plays an important role in city logistics and manufacturing environments, due to its direct relevance to operational cost. Most existing literature have investigated the conventional…

计算几何 · 计算机科学 2022-07-01 Qiruyi Zuo , Xinglu Liu , Wai Kin Victor Chan

In this work, we study the square min-sum bin packing problem (SMSBPP), where a list of square items has to be packed into indexed square bins of dimensions $1 \times 1$ with no overlap between the areas of the items. The bins are indexed…

数据结构与算法 · 计算机科学 2023-07-14 Rachel Vanucchi Saraiva , Rafael C. S. Schouery

Imagine yourself moving to another place, and therefore, you need to pack all of your belongings into moving boxes with some capacity. In the classical bin packing model, you would try to minimize the number of boxes, knowing the exact size…

数据结构与算法 · 计算机科学 2025-05-15 Matthias Gehnen , Andreas Usdenski

We consider a variant of bin packing called multiple-choice vector bin packing. In this problem we are given a set of items, where each item can be selected in one of several $D$-dimensional incarnations. We are also given $T$ bin types,…

数据结构与算法 · 计算机科学 2015-05-14 Boaz Patt-Shamir , Dror Rawitz

We propose a Deep Reinforcement Learning (Deep RL) algorithm for solving the online 3D bin packing problem for an arbitrary number of bins and any bin size. The focus is on producing decisions that can be physically implemented by a robotic…

Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems can be used to model task and resource allocation problems in…

人工智能 · 计算机科学 2011-10-12 A. S. Fukunaga , R. E. Korf
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