梯形结构大系统多目标规划子问题解的关系  

Relations of Solutions among Subproblems on Large Scale Multiobjective Programming with Trapezoidal Structure

作　　者：张杰[1] 魏彩霞[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：大系统多目标规划 有效解 梯形结构 

分 类 号：O221.6[理学—运筹学与控制论]