{"title":"Dynamic three-dimensional linear programming","authors":"D. Eppstein","doi":"10.1109/SFCS.1991.185410","DOIUrl":null,"url":null,"abstract":"Linear programming optimizations on the intersection of k polyhedra in R/sup 3/, represented by their outer recursive decompositions, are performed in expected time O(k log k log n+ square root k log k log/sup 3/ n). This result is used to derive efficient algorithms for dynamic linear programming problems ill which constraints are inserted and deleted, and queries must optimize specified objective functions. As an application, an improved solution to the planar 2-center problem, is described.<<ETX>>","PeriodicalId":320781,"journal":{"name":"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"69","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1991.185410","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 69
Abstract
Linear programming optimizations on the intersection of k polyhedra in R/sup 3/, represented by their outer recursive decompositions, are performed in expected time O(k log k log n+ square root k log k log/sup 3/ n). This result is used to derive efficient algorithms for dynamic linear programming problems ill which constraints are inserted and deleted, and queries must optimize specified objective functions. As an application, an improved solution to the planar 2-center problem, is described.<>
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
![[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science](/Content/css/sci/img/zetp.jpg)
求助内容：
应助结果提醒方式：
扫码关注我们
