NONLINEAR MULTIPLE OBJECTIVE OPTIMIZATION - AN ALGORITHM AND SOME THEORY

被引：9

作者：

ROY, A ^{[1
]}

WALLENIUS, J ^{[1
]}

机构：

[1] HELSINKI SCH ECON,SF-00100 HELSINKI 10,FINLAND

来源：

MATHEMATICAL PROGRAMMING | 1992年 / 55卷 / 02期

关键词：

MULTIPLE CRITERIA OPTIMIZATION; INTERACTIVE OPTIMIZATION; PROXY VALUE FUNCTIONS; NONLINEAR PROGRAMMING; GOAL PROGRAMMING;

D O I：

10.1007/BF01581201

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper presents an algorithm and the supporting theory for solving a class of nonlinear multiple criteria optimization problems using Zionts-Wallenius type of interaction. The Zionts-Wallenius method, as extended in this paper, can be used for solving multiple criteria problems with concave objective and (implicit) value functions and convex feasible regions. Modifications of the method to handle nonconvex feasible regions and general nonlinear objective functions are also discussed.

引用

页码：235 / 249

页数：15

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