环树设施选址问题的分支-价格算法

Fabio H.N. Abe , Edna A. Hoshino , Alessandro Hill , Roberto Baldacci
{"title":"环树设施选址问题的分支-价格算法","authors":"Fabio H.N. Abe ,&nbsp;Edna A. Hoshino ,&nbsp;Alessandro Hill ,&nbsp;Roberto Baldacci","doi":"10.1016/j.entcs.2019.08.002","DOIUrl":null,"url":null,"abstract":"<div><p>The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.</p></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":"346 ","pages":"Pages 3-14"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.entcs.2019.08.002","citationCount":"1","resultStr":"{\"title\":\"A Branch-and-Price Algorithm for the Ring-Tree Facility Location Problem\",\"authors\":\"Fabio H.N. Abe ,&nbsp;Edna A. Hoshino ,&nbsp;Alessandro Hill ,&nbsp;Roberto Baldacci\",\"doi\":\"10.1016/j.entcs.2019.08.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.</p></div>\",\"PeriodicalId\":38770,\"journal\":{\"name\":\"Electronic Notes in Theoretical Computer Science\",\"volume\":\"346 \",\"pages\":\"Pages 3-14\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.entcs.2019.08.002\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Notes in Theoretical Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1571066119300520\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Computer Science\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066119300520","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 1

摘要

环树设施选址问题是对可容环树问题的推广,其中考虑了与设施相关的额外成本和容量。这一问题在双级电信网的战略设计中得到了应用。我们研究了该问题的扩展整数规划公式和不同的方法来处理定价问题的np -硬度,该问题出现在求解该问题的分支定价算法中。计算实验显示了启发式和松弛法如何提高分支价格算法的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
A Branch-and-Price Algorithm for the Ring-Tree Facility Location Problem

The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.

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
Electronic Notes in Theoretical Computer Science
Electronic Notes in Theoretical Computer Science Computer Science-Computer Science (all)
自引率
0.00%
发文量
0
期刊介绍: ENTCS is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication and the availability on the electronic media is appropriate. Organizers of conferences whose proceedings appear in ENTCS, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.
期刊最新文献
Preface Murphree's Numerical Term Logic Tableaux A Note on Constructive Interpolation for the Multi-Modal Logic Km Paracomplete Logics Dual to the Genuine Paraconsistent Logics: The Three-valued Case Building a Maximal Independent Set for the Vertex-coloring Problem on Planar Graphs
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1