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Having the right assortment of shipping boxes in the fulfillment warehouse to pack and ship customer's online orders is an indispensable and integral part of nowadays eCommerce business, as it will not only help maintain a profitable…

机器学习 · 统计学 2019-03-27 Guang Yang , Cun Mu

This paper tackles the problem of finding optimal variable-height transport packaging. The goal is to reduce the empty space left in a box when shipping goods to customers, thereby saving on filler and reducing waste. We cast this problem…

最优化与控制 · 数学 2023-08-03 Alain Lehmann , Wilhelm Kleiminger , Hakim Invernizzi , Aurel Gautschi

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 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

Multiple product attributes like dimensions, weight, fragility, liquid content etc. determine the package type used by e-commerce companies to ship products. Sub-optimal package types lead to damaged shipments, incurring huge damage related…

机器学习 · 计算机科学 2020-06-08 Karthik S. Gurumoorthy , Subhajit Sanyal , Vineet Chaoji

Packing cost accounts for a large part of the e-commerce logistics cost. Mining the patterns of customer orders and designing suitable packing bins help to reduce operating cost. In the classical bin packing problem, a given set of…

数据结构与算法 · 计算机科学 2018-12-10 Xinhang Zhang , Haoyuan Hu , Longfei Wang , Zhijun Sun , Ying Zhang , Kunpeng Han , Yinghui Xu

The problem of selecting small groups of itemsets that represent the data well has recently gained a lot of attention. We approach the problem by searching for the itemsets that compress the data efficiently. As a compression technique we…

数据结构与算法 · 计算机科学 2019-02-08 Nikolaj Tatti , Jilles Vreeken

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

Motivated by distribution problems arising in the supply chain of Haleon, we investigate a discrete optimization problem that we call the "container delivery scheduling problem". The problem models a supplier dispatching ordered products…

最优化与控制 · 数学 2023-07-03 Anna Collins , Dimitrios Letsios , Gueorgui Mihaylov

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

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

机器学习 · 计算机科学 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

The cross dock door design problem consists of deciding on the number and capacity of inbound and outbound doors for receiving product pallets from origin nodes and exiting them to destination nodes. The uncertainty, realized in scenarios,…

最优化与控制 · 数学 2024-03-07 Laureano F. Escudero , M. Araceli Garín , Aitziber Unzueta

An optimal data partitioning in parallel & distributed implementation of clustering algorithms is a necessary computation as it ensures independent task completion, fair distribution, less number of affected points and better & faster…

人工智能 · 计算机科学 2016-09-21 Saraswati Mishra , Avnish Chandra Suman

We study the problem of partitioning a set of $n$ objects in a metric space into $k$ clusters $V_1,\dots,V_k$. The quality of the clustering is measured by considering the vector of cluster costs and then minimizing some monotone symmetric…

数据结构与算法 · 计算机科学 2025-01-10 Matthias Kaul , Kelin Luo , Matthias Mnich , Heiko Röglin

We investigate a real-life air cargo loading problem which is a variant of the three-dimensional Variable Size Bin Packing Problem with special bin forms of cuboid and non-cuboid unit load devices (ULDs). Packing is constrained by…

最优化与控制 · 数学 2024-10-03 Katrin Heßler , Timo Hintsch , Lukas Wienkamp

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

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

Clustering is an important data mining technique that groups similar data records, recently categorical transaction clustering is received more attention. In this research, we study the problem of categorical data clustering for…

数据库 · 计算机科学 2017-05-03 Mahmoud Mahdi , Samir Abdelrahman , Reem Bahgat , Ismail Ismail

Consolidation of loose packages into transport units is a fundamental activity offered by logistics service-providers. Moving the transport units instead of loose packages is faster (with one movement only, multiple packages are loaded…

最优化与控制 · 数学 2022-10-24 Enrico Angelelli , Claudia Archetti , Lorenzo Peirano

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
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