Convexification of a noninferior frontier

被引：35

作者：

Li, D

机构：

[1] Dept. of Syst. Eng. and Eng. Mgmt., Chinese University of Hong Kong, Shatin, New Territories

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 88卷 / 01期

关键词：

multiobjective optimization; nonconvex optimization; convexification; noninferior frontier;

D O I：

10.1007/BF02192028

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：

The convexity of a noninferior frontier can be achieved in an appropriate equivalent objective space for general nonconvex multiobjective optimization problems. Specifically, this paper proves that applying the p-power to the objective functions can act as a convexification scheme for a noninferior frontier.

引用

页码：177 / 196

页数：20

共 13 条

[1]

BENSON HP, 1977, SIAM J APPL MATH, V32, P69

[2]

BOWMAN VJ, 1975, MULTIPLE CRITERIA DE, P76

[3]

GALPERIN E, 1991, GLOBAL SOLUTIONS OPT

[4]

Gass S., 1955, NAV RES LOG, V2, P39, DOI [DOI 10.1002/NAV.3800020106, 10.1002/nav.3800020106]