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We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Jiao, Phys. Rev. E {\bf 80}, 041104 (2009)]. Because the…

统计力学 · 物理学 2010-12-15 Sal Torquato , Yang Jiao

Oil products are the main source of energy in the world today. Distribution of these products is one of the main issues in the industry. The main tools for this work are pipelines, and along with it, railways, shipping and roads are also…

最优化与控制 · 数学 2023-01-03 Seyyed Hamed Moghimi , Jafar Habibi , Hamid Jahad , Mohammad Amin Fazli

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

最优化与控制 · 数学 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

In this work, we address the exact D-optimal experimental design problem by proposing an efficient algorithm that rapidly identifies the support of its continuous relaxation. Our method leverages a column generation framework to solve such…

最优化与控制 · 数学 2026-05-18 Selin Ahipasaoglu , Stefano Cipolla , Jacek Gondzio

Unit commitment and load dispatch problems are important and complex problems in power system operations that have being traditionally solved separately. In this paper, both problems are solved together without approximations or…

计算机与社会 · 计算机科学 2019-03-25 Danilo Vasconcellos Vargas , Junichi Murata , Hirotaka Takano

A particle filter is introduced to numerically approximate a solution of the global optimization problem. The theoretical significance of this work comes from its variational aspects: (i) the proposed particle filter is a controlled…

最优化与控制 · 数学 2017-01-11 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

Exemplar-based clustering methods have been shown to produce state-of-the-art results on a number of synthetic and real-world clustering problems. They are appealing because they offer computational benefits over latent-mean models and can…

机器学习 · 计算机科学 2012-06-18 Daniel Tarlow , Richard S. Zemel , Brendan J. Frey

We propose a novel approach for navigating in polygonal environments by synthesizing controllers that take as input relative displacement measurements with respect to a set of landmarks. Our algorithm is based on solving a sequence of…

系统与控制 · 电气工程与系统科学 2020-10-13 Mahroo Bahreinian , Erfan Aasi , Roberto Tron

The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely used for mechanical contact problems, we prefer here the…

数值分析 · 数学 2021-07-27 Diana Manvelyan , Bernd Simeon , Utz Wever

Biclustering techniques have been widely used to identify homogeneous subgroups within large data matrices, such as subsets of genes similarly expressed across subsets of patients. Mining a max-sum sub-matrix is a related but distinct…

机器学习 · 统计学 2017-09-26 Vincent Branders , Pierre Schaus , Pierre Dupont

The matrix chain problem consists in finding the parenthesization of a matrix product $M := A_1 A_2 \cdots A_n$ that minimizes the number of scalar operations. In practical applications, however, one frequently encounters more complicated…

数据结构与算法 · 计算机科学 2016-11-18 Henrik Barthels , Paolo Bientinesi

This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for dealing with such problems are represented by the so-called…

计算物理 · 物理学 2024-09-25 Pierre Degond , Giacomo Dimarco , Marina Ferreira , Sophie Hecht

We develop a mixed-integer nonlinear programming (MINLP) approach for the classical Heilbronn triangle problem, demonstrating the capability of modern global optimization solvers to tackle challenging combinatorial geometry problems. A…

最优化与控制 · 数学 2026-05-22 Nathan Sudermann-Merx

Many problems in computer science and applied mathematics require rounding a vector $\mathbf{w}$ of fractional values lying in the interval $[0,1]$ to a binary vector $\mathbf{x}$ so that, for a given matrix $\mathbf{A}$,…

数据结构与算法 · 计算机科学 2020-08-04 Lily Li , Aleksandar Nikolov

Optimizing modern production plants using the job-shop principle is a known hard problem. For very large plants, like semiconductor fabs, the problem becomes unsolvable on a plant-wide scale in a reasonable amount of time using classical…

人工智能 · 计算机科学 2025-08-28 M. Umlauft , M. Schranz

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Combinatorial optimisation is the practice of selecting the best constituent…

最优化与控制 · 数学 2024-01-31 Anurag Dutta , K. Lakshmanan , John Harshith , A. Ramamoorthy

Bottlenecks are one of the controversial issues in manufacturing companies. Managers and designers attempt to manage this trouble to improve efficiency in different ways. For example, expanding capacity is a prevalent solution to get rid of…

最优化与控制 · 数学 2023-04-06 Amir Jamali , Amirhossein Ranjbar , Ali Bozorgi-Amiri

Censor-Hillel et al. [PODC'15] recently showed how to efficiently implement centralized algebraic algorithms for matrix multiplication in the congested clique model, a model of distributed computing that has received increasing attention in…

分布式、并行与集群计算 · 计算机科学 2021-10-05 François Le Gall

Within recent years, considerable progress has been made regarding high-performance solvers for Partial Differential Equations (PDEs), yielding potential gains in efficiency compared to industry standard tools. However, the latter largely…

数值分析 · 数学 2024-02-20 Patrick Zimbrod , Michael Fleck , Johannes Schilp

In this paper we examine a number of models that generate random fractals. The models are studied using the tools of computational complexity theory from the perspective of parallel computation. Diffusion limited aggregation and several…

凝聚态物理 · 物理学 2009-10-28 J. Machta , R. Greenlaw