ON THE RECIPROCAL VECTOR OPTIMIZATION PROBLEMS

被引：5

作者：

FAVATI, P ^{[1
]}

PAPPALARDO, M ^{[1
]}

机构：

[1] UNIV PISA,DEPT MATH,I-56100 PISA,ITALY

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1985年 / 47卷 / 02期

关键词：

MATHEMATICAL TECHNIQUES - Vectors;

D O I：

10.1007/BF00940768

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：

A necessary and sufficient condition is established for an optimal solution of a primal vector optimization problem to be an optimal solution of its reciprocal. Such a condition is developed and analyzed in the Pareto case, the strong case, and the lexicographic case. We detail these results for ordinary (i. e. , scalar) optimization problems.

引用

页码：181 / 193

页数：13

共 14 条

[1] STRUCTURE OF ADMISSIBLE POINTS WITH RESPECT TO CONE DOMINANCE [J].

BITRAN, GR ;

MAGNANTI, TL .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1979, 29 (04) :573-614

[2]

BITRAN GR, 1980, DUALITY BASED CHARAC, P12

[3]

BOLZA O, 1904, LECTURES CALCULUS VA

[4]

CALIGARIS O, 1981, B UNIONE MAT ITAL, V18, P177

[5]

CAMBINI A, 1983, A98 U PIS DEP MATH O

[6]

Elsgolc L. E., 1961, CALCULUS VARIATIONS

[7]

FAVATI P, 1984, CNR B8409 I EL INF P

[8] THEOREMS OF THE ALTERNATIVE AND OPTIMALITY CONDITIONS [J].

GIANNESSI, F .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 42 (03) :331-365

[9]

GIANNESSI F, 1971, STUDI MODELLI RICERC, P1053

[10]

Mangasarian O. L., 1969, NONLINEAR PROGRAMMIN

← 1 2 →