论\(\lambda \) -分界点和网络设计的广义中心:定义和属性

IF 4.4 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Víctor Bucarey, Natividad González-Blanco, Martine Labbé, Juan A. Mesa
{"title":"论\\(\\lambda \\) -分界点和网络设计的广义中心:定义和属性","authors":"Víctor Bucarey,&nbsp;Natividad González-Blanco,&nbsp;Martine Labbé,&nbsp;Juan A. Mesa","doi":"10.1007/s10479-025-06536-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we extend the notions of <span>\\(\\lambda \\)</span>-cent-dian and generalized-center from Facility Location Theory to the more intricate domain of Network Design. Our focus is on the task of designing a sub-network within a given underlying network while adhering to a budget constraint. This sub-network is intended to efficiently serve a collection of origin/destination pairs of demand. The <span>\\(\\lambda \\)</span>-cent-dian problem studies the balance between efficiency and equity. We investigate the properties of the <span>\\(\\lambda \\)</span>-cent-dian and generalized-center solution networks under the lens of equity, efficiency, and Pareto-optimality. We finally prove that the problems solved here are NP-hard.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"347 3","pages":"1193 - 1211"},"PeriodicalIF":4.4000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On \\\\(\\\\lambda \\\\)-cent-dians and generalized-center for network design: definitions and properties\",\"authors\":\"Víctor Bucarey,&nbsp;Natividad González-Blanco,&nbsp;Martine Labbé,&nbsp;Juan A. Mesa\",\"doi\":\"10.1007/s10479-025-06536-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we extend the notions of <span>\\\\(\\\\lambda \\\\)</span>-cent-dian and generalized-center from Facility Location Theory to the more intricate domain of Network Design. Our focus is on the task of designing a sub-network within a given underlying network while adhering to a budget constraint. This sub-network is intended to efficiently serve a collection of origin/destination pairs of demand. The <span>\\\\(\\\\lambda \\\\)</span>-cent-dian problem studies the balance between efficiency and equity. We investigate the properties of the <span>\\\\(\\\\lambda \\\\)</span>-cent-dian and generalized-center solution networks under the lens of equity, efficiency, and Pareto-optimality. We finally prove that the problems solved here are NP-hard.</p></div>\",\"PeriodicalId\":8215,\"journal\":{\"name\":\"Annals of Operations Research\",\"volume\":\"347 3\",\"pages\":\"1193 - 1211\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Operations Research\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10479-025-06536-5\",\"RegionNum\":3,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Operations Research","FirstCategoryId":"91","ListUrlMain":"https://link.springer.com/article/10.1007/s10479-025-06536-5","RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0

摘要

在本文中,我们将\(\lambda \) -中心点和广义中心的概念从设施选址理论推广到更复杂的网络设计领域。我们的重点是在给定的基础网络中设计子网络,同时遵守预算约束的任务。该子网旨在有效地服务于源/目的地需求对的集合。\(\lambda \) -cent-dian问题研究的是效率与公平之间的平衡。我们在公平、效率和帕累托最优性的透镜下研究了\(\lambda \) -中心点和广义中心解网络的性质。我们最终证明了这里解决的问题是np困难的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On \(\lambda \)-cent-dians and generalized-center for network design: definitions and properties

In this paper, we extend the notions of \(\lambda \)-cent-dian and generalized-center from Facility Location Theory to the more intricate domain of Network Design. Our focus is on the task of designing a sub-network within a given underlying network while adhering to a budget constraint. This sub-network is intended to efficiently serve a collection of origin/destination pairs of demand. The \(\lambda \)-cent-dian problem studies the balance between efficiency and equity. We investigate the properties of the \(\lambda \)-cent-dian and generalized-center solution networks under the lens of equity, efficiency, and Pareto-optimality. We finally prove that the problems solved here are NP-hard.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Annals of Operations Research
Annals of Operations Research 管理科学-运筹学与管理科学
CiteScore
7.90
自引率
16.70%
发文量
596
审稿时长
8.4 months
期刊介绍: The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications. In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信