Solution structure of some inverse combinatorial optimization problems

	Solution structure of some inverse combinatorial optimization problems
	Zhang, JZ ; Ma, ZF
刊名	JOURNAL OF COMBINATORIAL OPTIMIZATION
	1999-07-01
卷号	3 期号:1 页码:127-139
关键词	inverse problem shortest path minimum spanning tree maximum-weight matching blocking and anti-blocking polyhedra
ISSN号	1382-6905
英文摘要	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.
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	KLUWER ACADEMIC PUBL
WOS记录号	WOS:000081774600010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/14327]
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.