Solution structure of some inverse combinatorial optimization problems

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	Solution structure of some inverse combinatorial optimization problems
	Zhang, JZ ; Ma, ZF
	1999-07-01
发表期刊	JOURNAL OF COMBINATORIAL OPTIMIZATION
ISSN	1382-6905
卷号	3 期号:1 页码:127-139
摘要	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 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.
关键词	inverse problem shortest path minimum spanning tree maximum-weight matching blocking and anti-blocking polyhedra
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Applied
WOS记录号	WOS:000081774600010
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14328
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, JZ
作者单位	1.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.