CHARACTERIZATION OF PARETO-OPTIMAL SOLUTIONS IN BICRITERION OPTIMIZATION

被引：11

作者：

GEARHART, WB

机构：

[1] Division of Mathematics, Computer Science, and Systems Design, University of Texas at San Antonio, San Antonio, Texas

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 27卷 / 02期

关键词：

Bicriterion optimization; characterization of Pareto-optimal solutions; noninferior points; Pareto-optimal solutions; vectorial optimization;

D O I：

10.1007/BF00933233

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

For bicriterion optimization involving objective functions f1 and f2 defined on a decision space X, a condition is presented under which the Pareto-optimal points can be characterized as solutions of the scalar optimization problems: Minimize f1(x), subject to f2(x)≤α, x ∈X, which α ranges over a certain interval. Using this condition, it is shown how the Pareto-optimal points can be so characterized in both convex and nonconvex situations. © 1979 Plenum Publishing Corporation.

引用

页码：301 / 307

页数：7

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