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We propose a new heuristic approach for solving the challenge of determining optimal placements for geomagnetically induced current blocking devices on electrical grids. Traditionally, these determinations are approached by formulating the…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Ahmed Attia , Arthur Barnes , Russell Bent , Sven Leyffer , Adam Mate

The problem of packing equal spheres in a spherical container is a classic global optimization problem, which has attracted enormous studies in academia and found various applications in industry. This problem is computationally…

Computational Geometry · Computer Science 2023-05-18 Jianrong Zhou , Shuo Ren , Kun He , Yanli Liu , Chu-Min Li

The main objective of this paper is to solve the optimization problem that is associated with the classification of DNA samples in PCR plates for Sanger sequencing. To achieve this goal, we design an integer linear programming model. Given…

Data Structures and Algorithms · Computer Science 2024-01-23 Luisa Carpente , Ana Cerdeira-Pena , Silvia Lorenzo-Freire , Ángeles S. Places

The development of tailored materials for specific applications is an active field of research in chemistry, material science and drug discovery. The number of possible molecules that can be obtained from a set of atomic species grow…

We explore approximation algorithms for the $d$-dimensional geometric bin packing problem ($d$BP). Caprara (MOR 2008) gave a harmonic-based algorithm for $d$BP having an asymptotic approximation ratio (AAR) of $T_{\infty}^{d-1}$ (where…

Computational Geometry · Computer Science 2021-09-28 Eklavya Sharma

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

Artificial Intelligence · Computer Science 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

This paper deals with the problem of circle packing, in which the largest radii circle is to be fit in a confined space filled with arbitrary circles of different radii and centers. A circle packing problem is one of a variety of cutting…

Optimization and Control · Mathematics 2024-03-19 Pulkit Mundra , Veni Goyal , Kusum Deep

Improving the efficiency and accuracy of energy calculations has been of significant and continued interest in the area of materials informatics, a field that applies machine learning techniques to computational materials data. Here, we…

Quantum Physics · Physics 2021-02-03 Tanvi P. Gujarati , Tyler Takeshita , Andreas Hintennach , Eunseok Lee

The container relocation problem is a challenging combinatorial optimisation problem tasked with finding a sequence of container relocations required to retrieve all containers by a given order. Due to the complexity of this problem,…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Mrko Đurasević , Mateja Đumić

Municipal solid waste management is a major challenge for nowadays urban societies, because it accounts for a large proportion of public budget and, when mishandled, it can lead to environmental and social problems. This work focuses on the…

Other Computer Science · Computer Science 2021-03-12 Diego Gabriel Rossit , Jamal Toutouh , Sergio Nesmachnow

Operation management of nuclear power plants consists of several computationally hard problems. Searching for an in-core fuel loading pattern is among them. The main challenge of this combinatorial optimization problem is the exponential…

Buffer zones are essential in production systems to decouple sequential processes. In dense floor storage environments, such as space-constrained brownfield facilities, manual operation is increasingly challenged by severe labor shortages…

Robotics · Computer Science 2026-03-31 Max Disselnmeyer , Thomas Bömer , Laura Dörr , Bastian Amberg , Anne Meyer

The Bin Packing Problem is a classic problem with wide industrial applicability. In fact, the efficient packing of items into bins is one of the toughest challenges in many logistic corporations and is a critical issue for reducing storage…

Artificial Intelligence · Computer Science 2024-02-16 Sebastián V. Romero , Eneko Osaba , Esther Villar-Rodriguez , Antón Asla

Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This class of optimization problems, known as rank minimization, is…

Optimization and Control · Mathematics 2016-11-17 Benjamin Recht , Weiyu Xu , Babak Hassibi

In this paper we have proposed a semi-heuristic optimization algorithm for designing optimal plant layouts in process-focused manufacturing/service facilities. Being a semi-heuristic search, our algorithm is likely to be more efficient in…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , S. Bhattacharya , F. Smarandache

We develop algorithms capable of tackling robust black-box optimisation problems, where the number of model runs is limited. When a desired solution cannot be implemented exactly the aim is to find a robust one, where the worst case in an…

Optimization and Control · Mathematics 2020-04-17 Martin Hughes , Marc Goerigk , Trivikram Dokka

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 distributed schedule optimization of energy storage constitutes a challenge. Such algorithms often expect an input set containing all feasible schedules or respectively require to efficiently search the schedule space. It is hardly…

Multiagent Systems · Computer Science 2022-11-07 Rico Schrage , Paul Hendrik Tiemann , Astrid Nieße

Recently a new metaheuristic called harmony search was developed. It mimics the behaviors of musicians improvising to find the better state harmony. In this paper, this algorithm is described and applied to solve the container storage…

Neural and Evolutionary Computing · Computer Science 2013-06-04 I. Ayachi , R. Kammarti , M. Ksouri , P. Borne , Lagis Ecole Centrale de Lille , Lacs Ecole Nationale des Ingenieurs de Tunis

Online 3D Bin Packing Problem (3D-BPP) has widespread applications in industrial automation. Existing methods usually solve the problem with limited resolution of spatial discretization, and/or cannot deal with complex practical constraints…

Robotics · Computer Science 2025-09-05 Hang Zhao , Juzhan Xu , Kexiong Yu , Ruizhen Hu , Chenyang Zhu , Bo Du , Kai Xu