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自适应大邻域搜索求解带容量约束的模块化Hub选址问题OA

An Adaptive Large Neighborhood Search Algorithm for the Capacitated Modular Hub Location Problem

中文摘要英文摘要

带容量约束的模块化 Hub 选址问题(CMHLP)是经典 Hub 选址问题的重要扩展,在现代物流系统、交通网络规划与电信基础设施布局等领域具有重要应用价值.现有研究显示,当前 CMH LP 求解算法在解的质量与计算效率方面仍存在明显不足,难以满足实际工程需求.针对这一挑战,本文提出一种自适应大邻域搜索(ALNS)算法.该算法创新性地融合了以下核心组件:① 基于随机贪心策略的初始化方法;② 面向 Hub 节点与终端节点的混合破坏-修复算子;③ 结合禁忌搜索的局部增强策略;④ 动态自适应的算子选择机制.计算实验表明,本算法在求解质量上显著优于现有文献中已报道的 4 种主流 CMH LP 算法;特别地,在 25 个标准测试算例中,本算法改进了现有文献中的最好解.本研究为复杂网络环境下的 Hub 选址问题提供了具备实践指导价值的优化方案.

The capacitated modular hub location problem(CMHLP),as an important extension of the classical hub location problem,has significant application value in fields such as modern logistics systems,transportation network planning,and telecommunications infrastructure design.Existing research indicates that current solution algorithms for the CMHLP still have notable shortcomings in both solution quality and computational efficiency,making it difficult to meet practical engineering requirements.To address this challenge,this paper proposes an adaptive large neighborhood search(ALNS)algorithm.The algorithm innovatively integrates the following core components:an initialization method based on a randomized greedy strategy,a hybrid destroy-and-repair operator targeting both hub nodes and terminal nodes,a local improvement strategy combined with tabu search,and a dynamic adaptive operator selection mechanism.Computational experiments demonstrate that the proposed algorithm significantly outperforms four mainstream CMHLP algorithms reported in the existing literature in terms of solution quality.Specifically,for 25 standard test instances,the algorithm successfully improves the best-known solution from the existing literature.This paper provides a practical and effective optimization approach for the hub location problem in complex network environments.

陆永亮;林典超

福州大学 经济与管理学院,福州 350108福州大学 经济与管理学院,福州 350108

管理科学

Hub选址问题大邻域搜索禁忌搜索

hub location problemlarge neighborhood search(ALNS)tabu search

《系统管理学报》 2026 (5)

1208-1220,13

国家自然科学基金资助项目(72371076,72571067,72201065)

10.3969/j.issn2097-4558.2026.05.006

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