{"title":"Topological design of computer communication networks","authors":"B. Gavish","doi":"10.1109/HICSS.1989.49196","DOIUrl":null,"url":null,"abstract":"The author develops a nonlinear formulation of the topological design problem, and obtains a Lagrangean relaxation of the problem. The Lagrangean solutions provide lower bounds on the optimal solutions, which are further improved using subgradient optimization procedures. Heuristics are developed for generating feasible solutions to the problem. The quality of solutions generated by this heuristic are compared to the lower bounds generated by the Lagrangean procedures on a set of test cases.<<ETX>>","PeriodicalId":384442,"journal":{"name":"[1989] Proceedings of the Twenty-Second Annual Hawaii International Conference on System Sciences. Volume III: Decision Support and Knowledge Based Systems Track","volume":"138 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1989] Proceedings of the Twenty-Second Annual Hawaii International Conference on System Sciences. Volume III: Decision Support and Knowledge Based Systems Track","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HICSS.1989.49196","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The author develops a nonlinear formulation of the topological design problem, and obtains a Lagrangean relaxation of the problem. The Lagrangean solutions provide lower bounds on the optimal solutions, which are further improved using subgradient optimization procedures. Heuristics are developed for generating feasible solutions to the problem. The quality of solutions generated by this heuristic are compared to the lower bounds generated by the Lagrangean procedures on a set of test cases.<>