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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,…

Neural and Evolutionary Computing · Computer Science 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

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…

Optimization and Control · Mathematics 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

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…

Data Structures and Algorithms · Computer Science 2025-03-05 Nikhil Ayyadevara , Rajni Dabas , Arindam Khan , K. V. N. Sreenivas

In the past several years, the problem of genome assembly has received considerable attention from both biologists and computer scientists. An important component of current assembly methods is the scaffolding process. This process involves…

Genomics · Quantitative Biology 2013-07-03 Karl R. B. Schmitt , Aleksey V. Zimin , Guillaume Marcaçs , James A. Yorke , Michelle Girvan

The aim in packing problems is to decide if a given set of pieces can be placed inside a given container. A packing problem is defined by the types of pieces and containers to be handled, and the motions that are allowed to move the pieces.…

Computational Geometry · Computer Science 2024-08-07 Mikkel Abrahamsen , Tillmann Miltzow , Nadja Seiferth

Multi-task learning (MTL) has emerged as a pivotal paradigm in machine learning by leveraging shared structures across multiple related tasks. Despite its empirical success, the development of likelihood-based efficiently solvable…

Machine Learning · Computer Science 2026-05-07 Shihong Ding , Fangyu Du , Cong Fang

In the online sorting problem, $n$ items are revealed one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of absolute differences between items in consecutive…

Data Structures and Algorithms · Computer Science 2024-06-28 Mikkel Abrahamsen , Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , László Kozma

Motivated by hiring pipelines, we study three selection and ordering problems in which applicants for a finite set of positions must be interviewed or sent offers. There is a finite time budget for interviewing/sending offers, and every…

Data Structures and Algorithms · Computer Science 2023-10-30 Boris Epstein , Will Ma

[libralesso_anytime_2020] proposed an anytime tree search algorithm for the 2018 ROADEF/EURO challenge glass cutting problem (https://www.roadef.org/challenge/2018/en/index.php). The resulting program was ranked first among 64 participants.…

Artificial Intelligence · Computer Science 2020-04-21 Florian Fontan , Luc Libralesso

We consider several variants of a car-sharing problem. Given are a number of requests each consisting of a pick-up location and a drop-off location, a number of cars, and nonnegative, symmetric travel times that satisfy the triangle…

Data Structures and Algorithms · Computer Science 2020-07-08 Kelin Luo , Frits C. R. Spieksma

In today competitive business environment, efficient logistics are essential, especially in industries where timely delivery matters. This research aims to improve warehouse picking cycle time through simulation-based analysis, using a…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Phattara Khumprom , Wanatchapong Kongkaew , Antoun Yaacoub , Nattakit Thanawitsatien

Previous parallel sorting algorithms do not scale to the largest available machines, since they either have prohibitive communication volume or prohibitive critical path length. We describe algorithms that are a viable compromise and…

Data Structures and Algorithms · Computer Science 2015-02-26 Michael Axtmann , Timo Bingmann , Peter Sanders , Christian Schulz

A random sequential box-covering algorithm recently introduced to measure the fractal dimension in scale-free networks is investigated. The algorithm contains Monte Carlo sequential steps of choosing the position of the center of each box,…

Statistical Mechanics · Physics 2008-04-29 J. S. Kim , K. -I. Goh , B. Kahng , D. Kim

The classical linear ordering problem seeks a single ranking representing a given preference matrix. While suitable for homogeneous populations, it fails when observed preferences arise from several latent groups with distinct ranking…

Optimization and Control · Mathematics 2026-05-15 Juan A. Aledo , Concepción Domínguez , Juan de Dios Jaime-Alcántara , Mercedes Landete

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,…

Data Structures and Algorithms · Computer Science 2022-03-15 Varun Gupta , Ana Radovanovic

Prior work studies the question of ``fairly'' ordering transactions in a replicated state machine. Each of $n$ replicas receives transactions in a possibly different order, and the system must aggregate the observed orderings into a single…

Cryptography and Security · Computer Science 2024-10-02 Geoffrey Ramseyer , Ashish Goel

Robots that autonomously manipulate objects within warehouses have the potential to shorten the package delivery time and improve the efficiency of the e-commerce industry. In this paper, we present a robotic system that is capable of both…

The set of 2-dimensional packing problems builds an important class of optimization problems and Strip Packing together with 2-dimensional Bin Packing and 2-dimensional Knapsack is one of the most famous of these problems. Given a set of…

Discrete Mathematics · Computer Science 2019-02-07 Klaus Jansen , Malin Rau

In warehouses, order picking is known to be the most labor-intensive and costly task in which the employees account for a large part of the warehouse performance. Hence, many approaches exist, that optimize the order picking process based…

Neural and Evolutionary Computing · Computer Science 2021-12-23 Veronika Lesch , Patrick B. M. Müller , Moritz Krämer , Samuel Kounev , Christian Krupitzer

Robotic picking from cluttered bins is a demanding task, for which Amazon Robotics holds challenges. The 2017 Amazon Robotics Challenge (ARC) required stowing items into a storage system, picking specific items, and packing them into boxes.…

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