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Metaheuristics are known to be strong in solving large-scale instances of computationally hard problems. However, their efficiency still needs exploration in the context of instance structure, scale and numerical properties for many of…

Computational Engineering, Finance, and Science · Computer Science 2018-01-11 David Chalupa , Peter Nielsen

Large Neighbourhood Search (LNS) is a powerful heuristic framework for solving Mixed-Integer Programming (MIP) problems. However, designing effective variable selection strategies in LNS remains challenging, especially for diverse sets of…

Optimization and Control · Mathematics 2025-01-22 Charly Robinson La Rocca , Jean-François Cordeau , Emma Frejinger

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

Optimization and Control · Mathematics 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

Artificial Intelligence · Computer Science 2020-12-01 André Hottung , Kevin Tierney

Large Neighborhood Search (LNS) is a common heuristic in combinatorial optimization that iteratively searches over a large neighborhood of the current solution for a better one. Recently, neural network-based LNS solvers have achieved great…

Machine Learning · Computer Science 2025-08-25 Shengyu Feng , Zhiqing Sun , Yiming Yang

The facility location problem (FLP) is a classical combinatorial optimization challenge aimed at strategically laying out facilities to maximize their accessibility. In this paper, we propose a reinforcement learning method tailored to…

Machine Learning · Computer Science 2024-09-09 Hongyuan Su , Yu Zheng , Jingtao Ding , Depeng Jin , Yong Li

Multi-Agent Path Finding (MAPF) is the problem of finding a set of collision-free paths for multiple agents in a shared environment while minimizing the sum of travel time. Since solving the MAPF problem optimally is NP-hard, anytime…

Multiagent Systems · Computer Science 2024-02-06 Shao-Hung Chan , Zhe Chen , Dian-Lun Lin , Yue Zhang , Daniel Harabor , Tsung-Wei Huang , Sven Koenig , Thomy Phan

Motivated by a real-world application, we model and solve a complex staff scheduling problem. Tasks are to be assigned to workers for supervision. Multiple tasks can be covered in parallel by a single worker, with worker shifts being…

Discrete Mathematics · Computer Science 2023-02-10 Martin Gutjahr , Sophie N. Parragh , Fabien Tricoire

This paper presents a novel neural network design that learns the heuristic for Large Neighborhood Search (LNS). LNS consists of a destroy operator and a repair operator that specify a way to carry out the neighborhood search to solve the…

Neural and Evolutionary Computing · Computer Science 2020-05-20 Mingxiang Chen , Lei Gao , Qichang Chen , Zhixin Liu

The field of Distributed Constraint Optimization has gained momentum in recent years, thanks to its ability to address various applications related to multi-agent cooperation. Nevertheless, solving Distributed Constraint Optimization…

Artificial Intelligence · Computer Science 2017-02-24 Ferdinando Fioretto , Agostino Dovier , Enrico Pontelli , William Yeoh , Roie Zivan

Large Neighborhood Search (LNS) is a universal approach that is broadly applicable and has proven to be highly efficient in practice for solving optimization problems. We propose to integrate machine learning (ML) into LNS to assist in…

Machine Learning · Computer Science 2024-03-15 Willem Feijen , Guido Schäfer , Koen Dekker , Seppo Pieterse

We propose Large Neighborhood Prioritized Search (LNPS) for solving combinatorial optimization problems in Answer Set Programming (ASP). LNPS is a metaheuristic that starts with an initial solution and then iteratively tries to find better…

Artificial Intelligence · Computer Science 2024-05-21 Irumi Sugimori , Katsumi Inoue , Hidetomo Nabeshima , Torsten Schaub , Takehide Soh , Naoyuki Tamura , Mutsunori Banbara

Adaptive Large Neighborhood Search (ALNS) is a widely used heuristic method for solving combinatorial optimization problems. ALNS explores the solution space by iteratively using destroy and repair operators with probabilities, which are…

Computer Science and Game Theory · Computer Science 2026-01-19 Shaohua Yu , Wenhao Mao , Zigao Wu , Jakob Puchinger

In this paper, we investigate the hybridization of constraint programming and local search techniques within a large neighbourhood search scheme for solving highly constrained nurse rostering problems. As identified by the research, a…

Artificial Intelligence · Computer Science 2009-10-08 Fang He , Rong Qu

Integer Linear Programs (ILPs) are powerful tools for modeling and solving a large number of combinatorial optimization problems. Recently, it has been shown that Large Neighborhood Search (LNS), as a heuristic algorithm, can find high…

Artificial Intelligence · Computer Science 2024-01-17 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

We study the competitive facility location problem, where a firm aims to establish new facilities in a market already occupied by competitors. In this problem, customer behavior is crucial for making optimal location decisions. We explore a…

Optimization and Control · Mathematics 2024-08-07 Ba Luat Le , Tien Mai , Thuy Anh Ta , Minh Hoang Ha , Duc Minh Vu

While Large Language Models (LLMs) have recently shown promise in Automated Heuristic Design (AHD), existing approaches typically formulate AHD around constructive priority rules or parameterized local search guidance, thereby restricting…

Artificial Intelligence · Computer Science 2026-02-10 Baoyun Zhao , He Wang , Liang Zeng

We introduce Pattern-based Kernel Search (PaKS), a two-phase matheuristic for the solution of the Single-Source Capacitated Facility Location Problem (SSCFLP). In the first phase, PaKS employs a pattern recognition technique to identify an…

Optimization and Control · Mathematics 2025-12-10 Hannah Bakker , Gianfranco Guastaroba , Stefan Nickel , M. Grazia Speranza

Known for its dynamic utilization of destroy and repair operators, the Adaptive Large Neighborhood Search (ALNS) seeks to unearth high-quality solutions and has thus gained widespread acceptance as a meta-heuristic tool for tackling complex…

Optimization and Control · Mathematics 2024-03-01 Weiting Liu , Yunqi Luo , Yugang Yu

In this research, we propose an iterative learning hybrid optimization solver developed to strengthen the performance of metaheuristic algorithms in solving the Capacitated Vehicle Routing Problem (CVRP). The iterative hybrid mechanism…

Artificial Intelligence · Computer Science 2025-08-13 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo
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