{"title":"A note on valid inequalities for a service center location problem with a type of decision-dependent customer demand","authors":"Fengqiao Luo","doi":"10.1007/s10479-025-06475-1","DOIUrl":null,"url":null,"abstract":"<div><p>A family of set-induced valid inequalities and conditional facet-defining inequalities for a service center location problem with a special location-dependent demand has been investigated in this paper. The location-dependent demand is defined based on a maximum-attraction-principle assumption, which leads to a case-dependent right-hand-side of constraint inequalities. This novel structure makes the polyhedral study appealing and inspiring as it could be extended to other cases. The effectiveness of the valid inequalities has been tested via numerical investigations.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"346 3","pages":"2387 - 2400"},"PeriodicalIF":4.4000,"publicationDate":"2025-01-17","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/s10479-025-06475-1","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
Abstract
A family of set-induced valid inequalities and conditional facet-defining inequalities for a service center location problem with a special location-dependent demand has been investigated in this paper. The location-dependent demand is defined based on a maximum-attraction-principle assumption, which leads to a case-dependent right-hand-side of constraint inequalities. This novel structure makes the polyhedral study appealing and inspiring as it could be extended to other cases. The effectiveness of the valid inequalities has been tested via numerical investigations.
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.