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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
卷号39期号:3页码:347-363
文章类型Article
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
WOS标题词Science & Technology ; Technology ; Physical Sciences
关键词[WOS]LINEAR COMPLEMENTARITY-PROBLEMS ; CUTTING ANGLE METHOD ; TIME SEPARATION ; ALGORITHM ; OPTIMIZATION ; REALIZATION ; EVENTS
收录类别SCI
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
引用统计
被引频次:9[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9428
专题09年以前成果
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
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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.
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