{"title":"平面网络中的逆最大流问题","authors":"L. Ciupala, Romania Brasov, A. Deaconu","doi":"10.31926/but.mif.2019.12.61.1.10","DOIUrl":null,"url":null,"abstract":"In this paper we consider the problem of inverse maximum flow in planar network (IMFPN), where upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a maximum flow in the modified network. A strongly polynomial algorithm for solving this problem is proposed. 2000 Mathematics Subject Classification: 90C27, 90C35, 68R10","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Inverse maximum flow problem in planar networks\",\"authors\":\"L. Ciupala, Romania Brasov, A. Deaconu\",\"doi\":\"10.31926/but.mif.2019.12.61.1.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider the problem of inverse maximum flow in planar network (IMFPN), where upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a maximum flow in the modified network. A strongly polynomial algorithm for solving this problem is proposed. 2000 Mathematics Subject Classification: 90C27, 90C35, 68R10\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2019.12.61.1.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2019.12.61.1.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
In this paper we consider the problem of inverse maximum flow in planar network (IMFPN), where upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a maximum flow in the modified network. A strongly polynomial algorithm for solving this problem is proposed. 2000 Mathematics Subject Classification: 90C27, 90C35, 68R10