Optimality Conditions and Solution of a Class of Multicriteria Continuous Set Partitioning Problems

被引：0
|
作者：
E. M. Kiseleva
N. K. Vasil'eva
机构：
[1] Dnepropetrovsk National University,
来源：
Cybernetics and Systems Analysis | 2002年 / 38卷 / 6期
关键词：
multicriteria continuous problem; set partitioning; Slater optimality; algorithm of solution of a multicriteria partitioning problem;
D O I：
10.1023/A:1022948122560
中图分类号：
学科分类号：
摘要：
Multicriterion continuous problems of partitioning sets into subsets with fixed centers under constraints are considered. Two approaches to obtaining Slater optimality conditions are proposed. An algorithm for solution of these problems is developed on their basis. Steps of meshes approximating the partitioned set are estimated and a set of parameter convolution criteria is constructed. Numerical results are given for solution of test examples.
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页码：891 / 899
页数：8
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