摘要
将具有梯形结构的大系统多目标规划问题分解为若干个子问题,研究了子问题之间以及子问题与大系统问题之间有效解的关系.在一定条件下,证明了(I-1)个子问题MPT(Bi,Ai+1)的有效解构成大系统问题(MPT)的有效解.
The model of large scale multiobjective programming with trapezoidal structure was first decomposed into several subproblems. Then the relations of their effective solutions among the subproblems as well as those between the large scale multiobjective programming and each of its subproblems were studied. Under particular conditions, it has been proved that the effective solutions of （I- 1 ） subproblems MPT（B1,A1＋1） consist of the large scale problem （MPT） ＇s effective solutions.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2010年第2期237-240,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10671082)
关键词
大系统多目标规划
有效解
梯形结构
large scale multiobjective programming
effective solution
trapezoidal structure
