Retrieval and use of the balance set in multiobjective global optimization

被引：23

作者：

Galperin, EA

Wiecek, MM

机构：

[1] Univ Quebec, Dept Math, Montreal, PQ H3C 3P8, Canada

[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 4-5期

关键词：

global multiobjective optimization; balance sets; interactive method; feasible region;

D O I：

10.1016/S0898-1221(99)00063-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown, on examples, how to compute the balance set and the balance number in Vector Optimization Problems (VOPs) of different nature. New developments are presented concerning possible interrelation between the balance set and the balance number, a new notion of the projection of the balance set onto the parameter space, new approaches for solving VOPs with unbounded objective functions, and some approximation techniques in determining the balance set. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：111 / 123

页数：13

共 39 条

[1]

BENSON HP, 1978, J OPTIMIZATION THEOR, V26, P560

[2] USE OF EXACT PENALTY-FUNCTIONS TO DETERMINE EFFICIENT DECISIONS [J].