Some inverse min-max network problems under weighted l(1) and l(infinity) norms with bound constraints on changes

doi:10.1007/s10878-006-9016-6

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	Some inverse min-max network problems under weighted l(1) and l(infinity) norms with bound constraints on changes
	Yang, Xiaoguang; Zhang, Jianzhong
刊名	JOURNAL OF COMBINATORIAL OPTIMIZATION
	2007-02-01
卷号	13 期号:2 页码:123-135
关键词	inverse min-max network problem weighted l(1) norm weighted l(infinity) norm bound constraints polynomial time algorithms
ISSN号	1382-6905
DOI	10.1007/s10878-006-9016-6
英文摘要	We consider some inverse min-max (or max-min) network problems. Such an inverse problem is to modify the weights with bound constraints so that a given feasible solution becomes an optimal solution of a min-max (or max-min) network problem, and the deviation of the weights, measured by the weighted l(1) norm or weighted 1(infinity) norm, is minimum. In this paper, we present strongly polynomial time algorithms to solve the inverse min-max spanning tree problem and the inverse maximum capacity path problem.
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000243140800002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/4527]
专题	系统科学研究所
通讯作者	Yang, Xiaoguang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yang, Xiaoguang,Zhang, Jianzhong. Some inverse min-max network problems under weighted l(1) and l(infinity) norms with bound constraints on changes[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2007,13(2):123-135.
APA	Yang, Xiaoguang,&Zhang, Jianzhong.(2007).Some inverse min-max network problems under weighted l(1) and l(infinity) norms with bound constraints on changes.JOURNAL OF COMBINATORIAL OPTIMIZATION,13(2),123-135.
MLA	Yang, Xiaoguang,et al."Some inverse min-max network problems under weighted l(1) and l(infinity) norms with bound constraints on changes".JOURNAL OF COMBINATORIAL OPTIMIZATION 13.2(2007):123-135.