Globally optimal solutions of max-min systems

doi:10.1007/s10898-007-9141-5

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	Globally optimal solutions of max-min systems
	Tao, Yuegang ; Liu, Guo-Ping ; Chen, Wende
	2007-11-01
发表期刊	JOURNAL OF GLOBAL OPTIMIZATION
ISSN	0925-5001
卷号	39 期号:3 页码:347-363
摘要	A variety of problems in computer science, operations research, control theory, etc., can be modeled as non-linear and non-differentiable max-min systems. This paper introduces the global optimization into such systems. The criteria for the existence and uniqueness of the globally optimal solutions are established using the high matrix, optimal max-only projection set and k(s) supercript stop-control vector of max-min functions. It is also shown that the global optimization can be accomplished through the partial max-only projection representation with algebraic and combinatorial features. The methods are constructive and lead to an algorithm of finding all globally optimal solutions.
关键词	global optimization high matrix k(s) -control vector max-min system optimal max-only projection set
DOI	10.1007/s10898-007-9141-5
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000250064900002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4370
专题	中国科学院数学与系统科学研究院
通讯作者	Tao, Yuegang
作者单位	1.Chinese Acad Sci, Lab Complex Syst & Intelligence Sci, Inst Automat, Beijing 100080, Peoples R China 2.Univ Glamorgan, Dept Engn, Pontypridd CF37 1DL, M Glam, Wales 3.Cent S Univ, Lab Networked Control Syst, Changsha 410083, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tao, Yuegang,Liu, Guo-Ping,Chen, Wende. Globally optimal solutions of max-min systems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2007,39(3):347-363.
APA	Tao, Yuegang,Liu, Guo-Ping,&Chen, Wende.(2007).Globally optimal solutions of max-min systems.JOURNAL OF GLOBAL OPTIMIZATION,39(3),347-363.
MLA	Tao, Yuegang,et al."Globally optimal solutions of max-min systems".JOURNAL OF GLOBAL OPTIMIZATION 39.3(2007):347-363.