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Real-world problems are becoming highly complex and, therefore, have to be solved with combinatorial optimisation (CO) techniques. Motivated by the strong increase of publications on CO, 8,393 articles from this research field are subjected…

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical…

神经与进化计算 · 计算机科学 2015-11-20 J. Michael Herrmann , Adam Erskine , Thomas Joyce

In this paper, we consider the optimization problem Submodular Cover (SCP), which is to find a minimum cardinality subset of a finite universe $U$ such that the value of a submodular function $f$ is above an input threshold $\tau$. In…

数据结构与算法 · 计算机科学 2023-09-27 Wenjing Chen , Victoria G. Crawford

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work uses a ML prediction of the optimal solution to guide heuristic…

最优化与控制 · 数学 2023-01-30 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

The field of Contextual Optimization (CO) integrates machine learning and optimization to solve decision making problems under uncertainty. Recently, a risk sensitive variant of CO, known as Conditional Robust Optimization (CRO), combines…

机器学习 · 计算机科学 2024-03-08 Abhilash Chenreddy , Erick Delage

Given a universe $U$ of $n$ elements and a collection of subsets $\mathcal{S}$ of $U$, the maximum disjoint set cover problem (DSCP) is to partition $\mathcal{S}$ into as many set covers as possible, where a set cover is defined as a…

数据结构与算法 · 计算机科学 2016-11-18 Ashwin Pananjady , Vivek Kumar Bagaria , Rahul Vaze

Sequential Convex Programming (SCP) has recently gained significant popularity as an effective method for solving optimal control problems and has been successfully applied in several different domains. However, the theoretical analysis of…

最优化与控制 · 数学 2022-09-07 Riccardo Bonalli , Thomas Lew , Marco Pavone

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

人工智能 · 计算机科学 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

Modern computational chemistry has reached a stage at which massive exploration into chemical reaction space with unprecedented resolution with respect to the number of potentially relevant molecular structures has become possible. Various…

化学物理 · 物理学 2020-04-27 Jan P. Unsleber , Markus Reiher

Metaheuristic algorithms are currently widely used to solve a variety of optimization problems across various industries. This article discusses the application of a metaheuristic algorithm to optimize the hierarchical architecture of an…

系统与控制 · 电气工程与系统科学 2026-03-13 Ruslan Zakirzyanov

Neural combinatorial optimization (NCO) has gained significant attention due to the potential of deep learning to efficiently solve combinatorial optimization problems. NCO has been widely applied to job shop scheduling problems (JSPs) with…

人工智能 · 计算机科学 2024-12-19 Igor G. Smit , Yaoxin Wu , Pavel Troubil , Yingqian Zhang , Wim P. M. Nuijten

Optimization problems involving complex variables, when solved, are typically transformed into real variables, often at the expense of convergence rate and interpretability. This paper introduces a novel formalism for a prominent problem in…

最优化与控制 · 数学 2025-04-07 Raneem Madani , Abdel Lisser

Ant Colony Optimization (ACO) is a meta-heuristic algorithm that has been successfully applied to various Combinatorial Optimization Problems (COPs). Traditionally, customizing ACO for a specific problem requires the expert design of…

神经与进化计算 · 计算机科学 2023-11-07 Haoran Ye , Jiarui Wang , Zhiguang Cao , Helan Liang , Yong Li

We present a combination technique based on mixed differences of both spatial approximations and quadrature formulae for the stochastic variables to solve efficiently a class of Optimal Control Problems (OCPs) constrained by random partial…

数值分析 · 数学 2024-03-29 Fabio Nobile , Tommaso Vanzan

This paper presents new results about the optimization based generation of chemical reaction networks (CRNs) of higher deficiency. Firstly, it is shown that the graph structure of the realization containing the maximal number of reactions…

分子网络 · 定量生物学 2011-03-23 Gabor Szederkenyi , Katalin M. Hangos , Tamas Peni

Particle swarm optimization algorithm is a stochastic meta-heuristic solving global optimization problems appreciated for its efficacity and simplicity. It consists in a swarm of particles interacting among themselves and searching the…

概率论 · 数学 2024-09-23 Vianney Bruned , André Mas , Sylvain Wlodarczyk

Combinatorial optimization problems (COPs) with discrete variables and finite search space are critical across numerous fields, and solving them in metaheuristic algorithms is popular. However, addressing a specific COP typically requires…

神经与进化计算 · 计算机科学 2026-03-03 Aijuan Song , Guohua Wu

Stochastic kriging is a popular metamodeling technique for representing the unknown response surface of a simulation model. However, the simulation model may be inadequate in the sense that there may be a non-negligible discrepancy between…

统计方法学 · 统计学 2018-02-14 Lu Zou , Xiaowei Zhang

A new metaheuristic optimisation algorithm, called Cuckoo Search (CS), was developed recently by Yang and Deb (2009). This paper presents a more extensive comparison study using some standard test functions and newly designed stochastic…

最优化与控制 · 数学 2010-12-24 Xin-She Yang , Suash Deb

This paper is centered on using chemical reaction as a computational metaphor for simultaneously solving problems. An artificial chemical reactor that can simultaneously solve instances of three unrelated problems was created. The reactor…

新兴技术 · 计算机科学 2015-06-30 Jaderick P. Pabico