METHOD OF CENTERS ALGORITHM FOR MULTI-OBJECTIVE PROGRAMMING PROBLEMS

被引：0
|
作者：
Tarek Emam [1 ]
机构：
[1] Department of Mathematics, Faculty of Science (Suez), Suez Canal University, Suez, Egypt
来源：
Acta Mathematica Scientia | 2009年 / 29卷 / 05期
关键词：
method of centers; multi-objective; convergence; approximated efficient solution;
D O I：
暂无
中图分类号：
O221.6 [多目标规划];
学科分类号：
摘要：
In this paper, we consider a method of centers for solving multi-objective programming problems, where the objective functions involved are concave functions and the set of feasible points is convex. The algorithm is defined so that the sub-problems that must be solved during its execution may be solved by finite-step procedures. Conditions are given under which the algorithm generates sequences of feasible points and constraint multiplier vectors that have accumulation points satisfying the KKT conditions. Finally, we establish convergence of the proposed method of centers algorithm for solving multiobjective programming problems.
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收藏
页码：1128 / 1142
页数：15
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