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Robust optimization is a common framework in optimization under uncertainty when the problem parameters are not known, but it is rather known that the parameters belong to some given uncertainty set. In the robust optimization framework the…

最优化与控制 · 数学 2014-02-27 Aharon Ben-Tal , Elad Hazan , Tomer Koren , Shie Mannor

The classical method to solve a quadratic optimization problem with nonlinear equality constraints is to solve the Karush-Kuhn-Tucker (KKT) optimality conditions using Newton's method. This approach however is usually computationally…

最优化与控制 · 数学 2016-03-17 Tuan T. Nguyen , Mircea Lazar , Hans Butler

In ports, a variety of tasks are carried out, and scheduling these tasks is crucial due to its significant impact on productivity, making the generation of precise plans essential. This study proposes a method to solve the Quay Crane…

神经与进化计算 · 计算机科学 2024-11-07 Kikun Park , Hyerim Bae

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

量子物理 · 物理学 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

神经与进化计算 · 计算机科学 2021-01-27 Mauro S. Innocente , Johann Sienz

Learning-based control methods for industrial processes leverage the repetitive nature of the underlying process to learn optimal inputs for the system. While many works focus on linear systems, real-world problems involve nonlinear…

系统与控制 · 电气工程与系统科学 2023-07-25 Samuel Balula , Efe C. Balta , Dominic Liao-McPherson , Alisa Rupenyan , John Lygeros

We propose a multi-swarm approach to approximate the Pareto front of general multi-objective optimization problems that is based on the Consensus-based Optimization method (CBO). The algorithm is motivated step by step beginning with a…

最优化与控制 · 数学 2022-11-30 Kathrin Klamroth , Michael Stiglmayr , Claudia Totzeck

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

机器学习 · 统计学 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

In this paper we address a unified mathematical optimization framework to compute a wide range of measures used in most operations research and data science contexts. The goal is to embed such metrics within general optimization models…

最优化与控制 · 数学 2025-03-25 Victor Blanco , Miguel A. Pozo , Justo Puerto , Alberto Torrejon

This work presents a detailed evaluation of Rust (software) implementations of several popular sketching solutions, as well as recently proposed optimizations. We compare these solutions in terms of computational speed, memory consumption,…

数据库 · 计算机科学 2023-09-07 Roy Friedman

Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the possible violation of a restriction. Each risk constraint induces an uncertainty set of coefficients,…

统计方法学 · 统计学 2017-12-18 Karl Mosler , Pavel Bazovkin

The food production industry, especially the meat production sector, faces many challenges that have even escalated due to the recent outbreak of the energy crisis in the European Union. Therefore, efficient use of input materials is an…

人工智能 · 计算机科学 2025-07-23 Marek Vlk , Premysl Sucha , Jaroslaw Rudy , Radoslaw Idzikowski

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Quantum optimization algorithms hold the promise of solving classically hard, discrete optimization problems in practice. The requirement of encoding such problems in a Hamiltonian realized with a finite -- and currently small -- number of…

量子物理 · 物理学 2023-07-10 Yifeng Rocky Zhu , David Joseph , Cong Ling , Florian Mintert

This document introduces a strategy to solve linear optimization problems. The strategy is based on the bounding condition each constraint produces on each one of the problem's dimension. The solution of a linear optimization problem is…

最优化与控制 · 数学 2018-09-24 Gerardo L. Febres

In this paper, we propose an improved numerical algorithm for solving minimax problems based on nonsmooth optimization, quadratic programming and iterative process. We also provide a rigorous proof of convergence for our algorithm under…

人工智能 · 计算机科学 2025-07-02 Qing Xu , Xiaohua Xuan

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

系统与控制 · 电气工程与系统科学 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

In connection with the needs of solving optimization problems, the development of conditional minimization methods with convenient numerical implementation continues to attract the attention of mathematicians. In this monograph we propose…

最优化与控制 · 数学 2023-11-22 Igor Zabotin , Rashid Yarullin

Quadratic Unconstrained Binary Optimization (QUBO) is a broad class of optimization problems with many practical applications. To solve its hard instances in an exact way, known classical algorithms require exponential time and several…

量子物理 · 物理学 2021-01-21 Gian Giacomo Guerreschi

The problem of interest is the minimization of a nonlinear function subject to nonlinear equality constraints using a sequential quadratic programming (SQP) method. The minimization must be performed while observing only noisy evaluations…

最优化与控制 · 数学 2021-10-12 Figen Oztoprak , Richard Byrd , Jorge Nocedal