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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…

Data Structures and Algorithms · Computer Science 2025-08-20 Susanne Albers , Waldo Gálvez , Ömer Behic Özdemir

In this paper we present a fast scalable heuristic for bin packing that partitions the given problem into identical sub-problems of constant size and solves these constant size sub-problems by considering only a constant number of bin…

Data Structures and Algorithms · Computer Science 2019-04-30 Srikrishnan Divakaran

In this paper we deal with the Bin Packing Problem with Conflicts on interval graphs: given an interval graph, a nonnegative integer weight for each vertex, and a nonnegative integer B, find a partition of the vertex set of the graph into k…

Combinatorics · Mathematics 2017-09-15 Tiziano Bacci , Sara Nicoloso

We present a data mining approach for reducing the search space of local search algorithms in a class of binary integer programs including the set covering and partitioning problems. The quality of locally optimal solutions typically…

Data Structures and Algorithms · Computer Science 2017-05-15 Shunji Umetani

In the classic circle packing problem, one asks whether a given set of circles can be packed into a given container. Packing problems like this have been shown to be $\mathsf{NP}$-hard. In this paper, we present new sufficient conditions…

Computational Geometry · Computer Science 2018-06-28 Sándor P. Fekete , Sebastian Morr , Christian Scheffer

Bin covering is a dual version of classic bin packing. Thus, the goal is to cover as many bins as possible, where covering a bin means packing items of total size at least one in the bin. For online bin covering, competitive analysis fails…

Data Structures and Algorithms · Computer Science 2014-02-28 Marie G. Christ , Lene M. Favrholdt , Kim S. Larsen

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

This paper examines the generalisation of the Pickup and Delivery Problem that allows mid-route load exchanges among vehicles and obeys strict time-windows at all locations. We propose a novel Logic-Based Benders Decomposition (LBBD) that…

Optimization and Control · Mathematics 2025-05-06 Ioannis Avgerinos , Ioannis Mourtos , Nikolaos Tsompanidis , Georgios Zois

We study the warehouse problem, arising in the area of inventory management and production planning. Here, a merchant wants to decide an optimal trading policy that computes quantities of a single commodity to purchase, store and sell…

Data Structures and Algorithms · Computer Science 2024-01-22 Ishan Bansal , Oktay Günlük

Weighted Hamming distance, as a similarity measure between binary codes and binary queries, provides superior accuracy in search tasks than Hamming distance. However, how to efficiently and accurately find $K$ binary codes that have the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Zhenyu Weng , Yuesheng Zhu , Ruixin Liu

This paper presents a parallel genetic algorithm for three dimensional bin packing with heterogeneous bins using Hadoop Map-Reduce framework. The most common three dimensional bin packing problem which packs given set of boxes into minimum…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-18 Drona Pratap Chandu

The Bin Packing Problem is one of the most important Combinatorial Optimization problems in optimization and has a lot of real-world applications. Many approximation algorithms have been presented for this problem because of its NP-hard…

Data Structures and Algorithms · Computer Science 2015-09-22 Abdolahad Noori Zehmakan , Mojtaba Eslahi

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…

Optimization and Control · Mathematics 2019-02-14 Mauro Dell'Amico , Fabio Furini , Manuel Iori

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

Binarized neural networks (BNNs) are feedforward neural networks with binary weights and activation functions. In the context of using a BNN for classification, the verification problem seeks to determine whether a small perturbation of a…

Machine Learning · Computer Science 2025-10-03 Woojin Kim , James R. Luedtke

The problem of packing a set of circles into the smallest surrounding container is considered. This problem arises in different application areas such as automobile, textile, food, and chemical industries. The so-called circle packing…

Optimization and Control · Mathematics 2024-01-02 Rabia Taşpınar , Burak Kocuk

Pairwise ranking models have been widely used to address recommendation problems. The basic idea is to learn the rank of users' preferred items through separating items into \emph{positive} samples if user-item interactions exist, and…

Information Retrieval · Computer Science 2020-09-09 Lu Yu , Shichao Pei , Chuxu Zhang , Shangsong Liang , Xiao Bai , Nitesh Chawla , Xiangliang Zhang

The Minimum Vertex Cover (MVC) problem is a prominent NP-hard combinatorial optimization problem of great importance in both theory and application. Local search has proved successful for this problem. However, there are two main drawbacks…

Artificial Intelligence · Computer Science 2014-02-05 Shaowei Cai , Kaile Su , Chuan Luo , Abdul Sattar

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers, while respecting a given order of retrieval. However, the…

Data Structures and Algorithms · Computer Science 2017-10-13 Virgile Galle , Setareh Borjian Boroujeni , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

The success of deep learning requires large datasets and extensive training, which can create significant computational challenges. To address these challenges, pseudo-coresets, small learnable datasets that mimic the entire data, have been…

Machine Learning · Computer Science 2025-03-03 Hyungi Lee , Seungyoo Lee , Juho Lee
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