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An important area of combinatorial optimization is the study of packing and covering problems, such as Bin Packing, Multiple Knapsack, and Bin Covering. Those problems have been studied extensively from the viewpoint of approximation…

Data Structures and Algorithms · Computer Science 2020-07-07 Max Bannach , Sebastian Berndt , Marten Maack , Matthias Mnich , Alexandra Lassota , Malin Rau , Malte Skambath

In the Knapsack problem, one is given the task of packing a knapsack of a given size with items in order to gain a packing with a high profit value. An important connection to the $(\max,+)$-convolution problem has been established, where…

Data Structures and Algorithms · Computer Science 2025-08-12 Kilian Grage , Klaus Jansen , Björn Schumacher

This paper presented a genetic algorithm (GA) to solve the container storage problem in the port. This problem is studied with different container types such as regular, open side, open top, tank, empty and refrigerated containers. The…

Neural and Evolutionary Computing · Computer Science 2013-03-06 I. Ayachi , R. Kammarti , M. Ksouri , P. Borne , : , LAGIS , Ecole Centrale de Lille , : , LACS , Ecole Nationale des Ingenieurs de Tunis

This paper deals with the resolution of combinatorial optimization problems, particularly those concerning the maritime transport scheduling. We are interested in the management platforms in a river port and more specifically in container…

Neural and Evolutionary Computing · Computer Science 2013-06-04 R. Kammarti , I. Ayachi , M. Ksouri , P. Borne

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

The main goal of distribution network (DN) expansion planning is essentially to achieve minimal investment constrained with specified reliability requirements. The reliability-constrained distribution network planning (RcDNP) problem can be…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Yaqi Sun , Wenchuan Wu , Yi Lin , Hai Huang , Hao Chen

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…

Machine Learning · Computer Science 2019-02-18 Lu Duan , Haoyuan Hu , Yu Qian , Yu Gong , Xiaodong Zhang , Yinghui Xu , Jiangwen Wei

Mining frequent itemsets from massive datasets is always being a most important problem of data mining. Apriori is the most popular and simplest algorithm for frequent itemset mining. To enhance the efficiency and scalability of Apriori, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-24 Sudhakar Singh , Rakhi Garg , P. K. Mishra

The Geometric Bin Packing (GBP) problem is a generalization of Bin Packing where the input is a set of $d$-dimensional rectangles, and the goal is to pack them into unit $d$-dimensional cubes efficiently. It is NP-Hard to obtain a PTAS for…

Data Structures and Algorithms · Computer Science 2025-02-11 Arka Ray , Sai Sandeep

We solve the Bin Packing problem in $O^*(2^k)$ time, where $k$ is the number of items less or equal to one third of the bin capacity. This parameter measures the distance from the polynomially solvable case of only large (i.e., greater than…

Data Structures and Algorithms · Computer Science 2022-07-19 Alexandra Lassota , Aleksander Łukasiewicz , Adam Polak

In this paper we present the first algorithm with optimal average-case and close-to-best known worst-case performance for the classic on-line problem of bin packing. It has long been observed that known bin packing algorithms with optimal…

Data Structures and Algorithms · Computer Science 2014-04-18 Shahin Kamali , Alejandro López-Ortiz

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

DNA storage technology offers new possibilities for addressing massive data storage due to its high storage density, long-term preservation, low maintenance cost, and compact size. To improve the reliability of stored information, base…

Machine Learning · Computer Science 2024-09-24 Bowen Liu , Jiankun Li

We study the problem of storing a data object in a set of data nodes that fail independently with given probabilities. Our problem is a natural generalization of a homogenous storage allocation problem where all the nodes had the same…

Information Theory · Computer Science 2012-02-09 Vasileios Ntranos , Giuseppe Caire , Alexandros G. Dimakis

This paper focuses on exact approaches for the Colored Bin Packing Problem (CBPP), a generalization of the classical one-dimensional Bin Packing Problem in which each item has, in addition to its length, a color, and no two items of the…

Optimization and Control · Mathematics 2023-05-25 Yulle G. F. Borges , Rafael C. S. Schouery , Flávio K. Miyazawa

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…

Robotics · Computer Science 2021-09-28 Avnish Gupta , Akash Jadhav , Pradyot VN Korupolu

Track reconstruction in high track multiplicity environments at current and future high rate particle physics experiments is a big challenge and very time consuming. The search for track seeds and the fitting of track candidates are usually…

Instrumentation and Detectors · Physics 2016-12-21 Andre Schöning

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.…

Data Structures and Algorithms · Computer Science 2018-05-18 Anupam Gupta , Guru Guruganesh , Amit Kumar , David Wajc

The two-dimensional irregular bin packing problem (2DIBPP) aims to pack a given set of irregular polygons, referred to as pieces, into fixed-size rectangular bins without overlap, while maximizing bin utilization. Although numerous…

Computational Geometry · Computer Science 2026-03-03 Yi Zhou , Haocheng Fu , Yiping Liu , Jian Mao , Zhang-Hua Fu , Yuyi Wang

We consider the problem of packing rectangles into bins that are unit squares, where the goal is to minimize the number of bins used. All rectangles have to be packed non-overlapping and orthogonal, i.e., axis-parallel. We present an…

Data Structures and Algorithms · Computer Science 2009-03-16 Rolf Harren , Rob van Stee
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