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Solution structure of some inverse combinatorial optimization problems
Zhang, JZ; Ma, ZF
1999-07-01
Source PublicationJOURNAL OF COMBINATORIAL OPTIMIZATION
ISSN1382-6905
Volume3Issue:1Pages:127-139
AbstractIn this paper we consider some inverse combinatorial optimization problems, that is, for a given set of feasible solutions of an optimization problem, we wish to know: under what weight vectors (or capacity vectors) will these feasible solutions become optimal solutions? We analysed shortest path problem, minimum cut problem, minimum spanning tree problem and maximum-weight matching problem, and found that in each of these cases, the solution set of the inverse problem is characterized by solving another combinatorial optimization problem. The main tool in our approach is Fulkerson's theory of blocking and anti-blocking polyhedra with some necessary revisions.In this paper we consider some inverse combinatorial optimization problems, that is, for a given set of feasible solutions of an optimization problem, we wish to know: under what weight vectors (or capacity vectors) will these feasible solutions become optimal solutions? We analysed shortest path problem, minimum cut problem, minimum spanning tree problem and maximum-weight matching problem, and found that in each of these cases, the solution set of the inverse problem is charaterized by solving another combinatorial optimization problem. The main tool in our approach is Fulkerson's theory of blocking and anti-blocking polyhedra with some necessary revisions.
Keywordinverse problem shortest path minimum spanning tree maximum-weight matching blocking and anti-blocking polyhedra
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Applied
WOS IDWOS:000081774600010
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:22[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14328
Collection中国科学院数学与系统科学研究院
Affiliation1.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, JZ,Ma, ZF. Solution structure of some inverse combinatorial optimization problems[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,1999,3(1):127-139.
APA Zhang, JZ,&Ma, ZF.(1999).Solution structure of some inverse combinatorial optimization problems.JOURNAL OF COMBINATORIAL OPTIMIZATION,3(1),127-139.
MLA Zhang, JZ,et al."Solution structure of some inverse combinatorial optimization problems".JOURNAL OF COMBINATORIAL OPTIMIZATION 3.1(1999):127-139.
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