On constructing total orders and solving vector optimization problems with total orders

被引：17

作者：

Kucuk, Mahide ^{[1
]}

Soyertem, Mustafa ^{[1
]}

Kucuk, Yalcin ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, Fac Sci, Eskisehir, Turkey

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 50卷 / 02期

关键词：

Nonconvex analysis; Vector optimization; Total order; Nonconvex optimization; Scalarization;

D O I：

10.1007/s10898-010-9576-y

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：

In this paper, we introduce a construction method of total ordering cone on R(n). It is shown that any total ordering cone on Rn is isomorphic to the cone R(lex)(n). Existence of a total ordering cone that contain given cone with a compact base is shown. By using this cone, a solving method of vector and set valued optimization problems is presented.

引用

页码：235 / 247

页数：13

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