Connectedness of the efficient set for three-objective quasiconcave maximization problems

被引：40

作者：

Daniilidis, A ^{[1
]}

Hadjisavvas, N ^{[1
]}

Schaible, S ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,AG ANDERSON GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 93卷 / 03期

关键词：

multi-objective maximization; semistrictly quasiconcave functions; efficient solution set; connectedness;

D O I：

10.1023/A:1022634827916

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 [运筹学与控制论]; 12 [管理学]; 1201 [管理科学与工程]; 1202 [工商管理学]; 120202 [企业管理];

摘要：

For three-objective maximization problems involving continuous, semistrictly quasiconcave functions over a compact convex set, it is shown that the set of efficient solutions is connected. With that, an open problem stated by Choo, Schaible, and Chew in 1985 is solved.

引用

页码：517 / 524

页数：8

共 8 条

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