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Application of nonlinear model predictive control (NMPC) to problems with hybrid dynamical systems, disjoint constraints, or discrete controls often results in mixed-integer formulations with both continuous and discrete decision variables.…

系统与控制 · 电气工程与系统科学 2024-01-24 Christopher A. Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · 物理学 2009-09-25 Himanshu Agrawal

The numerical performance of algorithms can be studied using test sets or procedures that generate such problems. This paper proposes various methods for generating linear, semidefinite, and second-order cone optimization problems.…

The discrete unit commitment problem with min-stop ramping constraints optimizes the daily production of thermal power plants (coal, gas, fuel units). For this problem, compact Integer Linear Programming (ILP) formulations have been…

最优化与控制 · 数学 2019-12-21 Nicolas Dupin

In this work, we aim to compare different methods and formulations to solve a problem in air traffic management to global optimality. In particular, we focus on the aircraft deconfliction problem, where we are given n aircraft, their…

最优化与控制 · 数学 2025-01-14 Renan Spencer Trindade , Claudia D'Ambrosio

Particle-In-Cell codes are widely used for plasma physics simulations. It is often the case that particles within a computational cell need to be split to improve the statistics or, in the case of non-uniform meshes, to avoid the…

Machine Reassignment is a challenging problem for constraint programming (CP) and mixed-integer linear programming (MILP) approaches, especially given the size of data centres. The multi-objective version of the Machine Reassignment Problem…

人工智能 · 计算机科学 2021-03-19 Takfarinas Saber , Anthony Ventresque , Joao Marques-Silva , James Thorburn , Liam Murphy

The continuous development of the photovoltaic (PV) industry has raised high requirements for the quality of monocrystalline of PV module cells. When learning to segment defect regions in PV module cell images, Tiny Hidden Cracks (THC) lead…

计算机视觉与模式识别 · 计算机科学 2023-10-25 Jianye Yi , Xiaopin Zhong , Weixiang Liu , Zongze Wu , Yuanlong Deng , Zhengguang Wu

he segment minimization problem consists of finding the smallest set of integer matrices that sum to a given intensity matrix, such that each summand has only one non-zero value, and the non-zeroes in each row are consecutive. This has…

数据结构与算法 · 计算机科学 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

Linear Programming (LP) is widely applied in industry and is a key component of various other mathematical problem-solving techniques. Recent work introduced an LP compiler translating polynomial-time, polynomial-space algorithms into…

编程语言 · 计算机科学 2025-09-17 Shermin Khosravi , David Bremner

In this paper, the scheduling problems of landing and takeoff aircraft on a same runway and on dual runways are addressed. In contrast to the approaches based on mixed-integer optimization models in existing works, our approach focuses on…

最优化与控制 · 数学 2025-06-06 Peng Lin , Haopeng Yang , Gui Gui , Mengxiang Zeng , Weihua Gui

In this work, the online printing shop scheduling problem is considered. This challenging real problem, that appears in the nowadays printing industry, can be seen as a flexible job shop scheduling problem with sequence flexibility in which…

最优化与控制 · 数学 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Philippe Laborie , Débora P. Ronconi , Holger Voos

Linear constraints are one of the most fundamental constraints in fields such as computer science, operations research and optimization. Many applications reduce to the task of model counting over integer linear constraints (MCILC). In this…

人工智能 · 计算机科学 2025-09-18 Mingwei Zhang , Zhenhao Gu , Liangda Fang , Cunjing Ge , Ziliang Chen , Zhao-Rong Lai , Quanlong Guan

Dealing with multi-objective problems by using generation methods has some interesting advantages since it provides the decision-maker with the complete information about the set of non-dominated points (Pareto front) and a clear overview…

最优化与控制 · 数学 2022-09-09 Mariana Mesquita-Cunha , José Rui Figueira , Ana Paula Barbosa-Póvoa

The optimal placement of measurement devices in electrical power systems is commonly modeled through the power dominating set problem. However, in real-world applications, these devices have limited capacities, leading to a capacitated…

最优化与控制 · 数学 2026-05-19 Mauro Lucci , Diego Delle Donne , Mariana Escalante

Transmission system operators face a variety of discrete operational decisions, such as switching of branches and/or devices. Incorporating these decisions into optimal power flow (OPF) results in mixed-integer non-linear programming…

最优化与控制 · 数学 2025-10-24 Constance Crozier

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

最优化与控制 · 数学 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

We study a new formulation of the team-formation problem, where the goal is to form teams to work on a given set of tasks requiring different skills. Deviating from the classic problem setting where one is asking to cover all skills of each…

社会与信息网络 · 计算机科学 2025-03-11 Karan Vombatkere , Evimaria Terzi , Aristides Gionis

Generative models have become a powerful tool for synthesizing training data in computer vision tasks. Current approaches solely focus on aligning generated images with the target dataset distribution. As a result, they capture only the…

计算机视觉与模式识别 · 计算机科学 2026-01-08 Zerun Wang , Jiafeng Mao , Xueting Wang , Toshihiko Yamasaki

We consider a mathematical model for wound contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke's Law, infinitesimal strain theory and point forces exerted by cells. However, point…

数值分析 · 数学 2022-02-14 Qiyao Peng , Fred Vermolen