Second-order optimality conditions in multiobjective optimization problems

被引：70

作者：

Aghezzaf, B ^{[1
]}

Hachimi, M ^{[1
]}

机构：

[1] Univ Hassan II, Fac Sci Ain Chock, Dept Math & Informat, Casablanca, Morocco

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 102卷 / 01期

关键词：

multiobjective optimization; efficient solutions; constraint qualifications; second-order tangent sets; second-order necessary and sufficient conditions;

D O I：

10.1023/A:1021834210437

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：

In this paper, we develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, we generalize the Lin fundamental theorem (Ref. 1) to second-order tangent sets; then, based on the above generalized theorem, we derive second-order necessary and sufficient conditions for efficiency.

引用

页码：37 / 50

页数：14

共 10 条

[1]

AGHEZZAF B, 1995, 12 INT C MULT CRIT D

[2]

[Anonymous], ANAL NUMER THEOR APP

[3]

2ND-ORDER AND RELATED EXTREMALITY CONDITIONS IN NON-LINEAR PROGRAMMING [J].

BENTAL, A .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1980, 31 (02) :143-165

[4]

2ND-ORDER NECESSARY CONDITIONS OF THE KUHN-TUCKER TYPE UNDER NEW CONSTRAINT QUALIFICATIONS [J].

KAWASAKI, H .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 57 (02) :253-264

[5]

MAXIMAL VECTORS AND MULTI-OBJECTIVE OPTIMIZATION [J].

LIN, JG .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1976, 18 (01) :41-64

[6]

CONSTRAINT QUALIFICATIONS IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS - DIFFERENTIABLE CASE [J].

MAEDA, T .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (03) :483-500

[7]

Mangasarian O., 1969, NONLINEAR PROGRAMMIN

[8]

OPTIMALITY CONDITIONS IN MULTIOBJECTIVE DIFFERENTIABLE PROGRAMMING [J].

SINGH, C .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (01) :115-123

[9]

2ND-ORDER NECESSARY AND SUFFICIENT CONDITIONS IN MULTIOBJECTIVE PROGRAMMING [J].

WANG, SY .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1991, 12 (1-2) :237-252

[10]

YU PL, 1985, MULTIPLE CRITERIA DE

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