EFFICIENCY AND DUALITY FOR GENERALIZED CONVEX MULTIOBJECTIVE PROGRAMMING

被引：0

作者：

Yan, Z. -X. ^{[1
]}

机构：

[1] Univ Jinan, Sch Sci, Jinan, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS | 2008年 / 14卷 / 01期

关键词：

(Type I; F; rho)-convex function; Geo ff rion proper efficiency; sublinear function;

D O I：

10.1515/JAA.2008.63

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under a class of generalized (Type I, F, rho)-convexity assumptions, the author formulates the sufficient conditions about Pareto efficiency and Geoffrion proper efficiency and gets the dual results between multiobjective programming and its Wolfe dual.

引用

页码：63 / 71

页数：9

共 8 条

[1]

Chankong V., 1983, MULTIOBJECTIVE DECIS

[2]

Geoffrion A.M., 1968, J MATH ANAL APPL, V22, P613

[3]

Hanson M. A., 1982, J INFORM OPTIM SCI, V3, P22

[4] NECESSARY AND SUFFICIENT CONDITIONS IN CONSTRAINED OPTIMIZATION [J].

HANSON, MA ;

MOND, B .

MATHEMATICAL PROGRAMMING, 1987, 37 (01) :51-58

[5]

Kuhn H. W., 1951, PROC 2 BERKELEY S MA, P481, DOI DOI 10.1007/BF01582292

[6]

Mangasarian O. L., 1969, NONLINEAR PROGRAMMIN

[7] ON EFFICIENCY AND DUALITY FOR MULTIOBJECTIVE PROGRAMS [J].

PREDA, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 166 (02) :365-377

[8]

Wolfe P., 1961, Q APPL MATH, V19, P239, DOI [DOI 10.1090/QAM/135625, 10.1090/qam/135625]

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