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The Linear Ordering Problem (LOP) is a very popular NP-hard combinatorial optimization problem with many practical applications that may require the use of large instances. The Linear Ordering Library (LOLIB) gathers a set of standard…

最优化与控制 · 数学 2022-01-12 Lázaro Lugo , Carlos Segura , Gara Miranda

Heuristic design with large language models (LLMs) has emerged as a promising approach for tackling combinatorial optimization problems (COPs). However, existing approaches often rely on manually predefined evolutionary computation (EC)…

机器学习 · 计算机科学 2026-03-25 Yiding Shi , Jianan Zhou , Wen Song , Jieyi Bi , Yaoxin Wu , Zhiguang Cao , Jie Zhang

Leveraging machine learning to facilitate the optimization process is an emerging field that holds the promise to bypass the fundamental computational bottleneck caused by classic iterative solvers in critical applications requiring…

机器学习 · 计算机科学 2022-07-18 Xinran Liu , Yuzhe Lu , Ali Abbasi , Meiyi Li , Javad Mohammadi , Soheil Kolouri

Production systems use heuristics because they are faster or scale better than their optimal counterparts. Yet, practitioners are often unaware of the performance gap between a heuristic and the optimum or between two heuristics in…

网络与互联网体系结构 · 计算机科学 2023-11-22 Pooria Namyar , Behnaz Arzani , Ryan Beckett , Santiago Segarra , Himanshu Raj , Umesh Krishnaswamy , Ramesh Govindan , Srikanth Kandula

Heuristics are commonly used to tackle various search and optimization problems. Design heuristics usually require tedious manual crafting with domain knowledge. Recent works have incorporated Large Language Models (LLMs) into automatic…

人工智能 · 计算机科学 2025-02-05 Shunyu Yao , Fei Liu , Xi Lin , Zhichao Lu , Zhenkun Wang , Qingfu Zhang

In this paper we introduce a new problem in the field of production planning which we call the Production Leveling Problem. The task is to assign orders to production periods such that the load in each period and on each production resource…

人工智能 · 计算机科学 2020-06-17 Johannes Vass , Marie-Louise Lackner , Nysret Musliu

In the last few years, the formulation of real-world optimization problems and their efficient solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In spite of decades of historical advancements on the…

Metaheuristic algorithms are becoming an important part of modern optimization. A wide range of metaheuristic algorithms have emerged over the last two decades, and many metaheuristics such as particle swarm optimization are becoming…

最优化与控制 · 数学 2012-12-04 Xin-She Yang

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

最优化与控制 · 数学 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

This paper introduces an effective memetic algorithm for the linear ordering problem with cumulative costs. The proposed algorithm combines an order-based recombination operator with an improved forward-backward local search procedure and…

神经与进化计算 · 计算机科学 2014-05-20 Tao Ye , Kan Zhou , Zhipeng Lu , Jin-Kao Hao

Heuristics are widely used for dealing with complex search and optimization problems. However, manual design of heuristics can be often very labour extensive and requires rich working experience and knowledge. This paper proposes Evolution…

神经与进化计算 · 计算机科学 2024-06-04 Fei Liu , Xialiang Tong , Mingxuan Yuan , Xi Lin , Fu Luo , Zhenkun Wang , Zhichao Lu , Qingfu Zhang

Besides training, mathematical optimization is also used in deep learning to model and solve formulations over trained neural networks for purposes such as verification, compression, and optimization with learned constraints. However,…

最优化与控制 · 数学 2024-01-30 Jiatai Tong , Junyang Cai , Thiago Serra

Heuristics have achieved great success in solving combinatorial optimization problems~(COPs). However, heuristics designed by humans require too much domain knowledge and testing time. Since Large Language Models~(LLMs) possess strong…

人工智能 · 计算机科学 2025-06-23 Hui Wang , Xufeng Zhang , Chaoxu Mu

The current boom of learned query optimizers (LQO) can be explained not only by the general continuous improvement of deep learning (DL) methods but also by the straightforward formulation of a query optimization problem (QOP) as a machine…

数据库 · 计算机科学 2024-02-29 Claude Lehmann , Pavel Sulimov , Kurt Stockinger

Heuristic search is often used for motion planning and pathfinding problems, for finding the shortest path in a graph while also promising completeness and optimal efficiency. The drawback is it's space complexity, specifically storing all…

人工智能 · 计算机科学 2024-06-10 Davor Bokan , Zlatan Ajanovic , Bakir Lacevic

Optimization is an integral part of modern deep learning. Recently, the concept of learned optimizers has emerged as a way to accelerate this optimization process by replacing traditional, hand-crafted algorithms with meta-learned…

机器学习 · 计算机科学 2023-12-13 Jan Sobotka , Petr Šimánek , Daniel Vašata

The linear ordering problem (LOP), which consists in ordering M objects from their pairwise comparisons, is commonly applied in many areas of research. While efforts have been made to devise efficient LOP algorithms, verification of whether…

机器学习 · 计算机科学 2023-05-23 Leszek Szczecinski , Harsh Sukheja

Metaheuristics are prominent gradient-free optimizers for solving hard problems that do not meet the rigorous mathematical assumptions of analytical solvers. The canonical manual optimizer design could be laborious, untraceable and…

神经与进化计算 · 计算机科学 2023-11-15 Qi Zhao , Bai Yan , Taiwei Hu , Xianglong Chen , Qiqi Duan , Jian Yang , Yuhui Shi

In the power and energy systems area, a progressive increase of literature contributions containing applications of metaheuristic algorithms is occurring. In many cases, these applications are merely aimed at proposing the testing of an…

人工智能 · 计算机科学 2020-08-19 Gianfranco Chicco , Andrea Mazza

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

人工智能 · 计算机科学 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu
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