COMPENDIOUS LEXICOGRAPHIC METHOD FOR MULTI-OBJECTIVE OPTIMIZATION

被引：0
|
作者：
Stanimirovic, Ivan P. [1 ]
机构：
[1] Fac Sci & Math, Dept Comp Sci, POB 224,Visegradska 33, Nish 18000, Serbia
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2012年 / 27卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A modification of the standard lexicographic method, used for linear multi objective optimization problems, is presented. An algorithm for solving these kind of problems is developed, for the cases of two and three unknowns. The algorithm uses the general idea of indicating the lexicographic order to objective functions, combined with the graphical method of linear programming. Implementation details and some illustrative examples are provided by means of symbolic processing of the package MATHEMATICA. Also, some comparative processing times showed that our method was highly efficient on every 2D and 3D linear optimization problem.
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页码：55 / 66
页数：12
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