具有梯形结构大系统目标规划模型的双向分解及解的关系  

Bidirectional Decomposition of Large Scale Multiobjective Programming Model with Trapezoidal Structure and Relations of Its Solutions

作　　者：张杰[1] 徐玲敏[1] 胡鼎[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）》2011年第5期802-808,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10671082)

摘　　要：采用"双向分解"方式将梯形结构大系统目标规划模型分解为若干个子问题,研究子问题之间以及子问题与大系统问题之间最优解的关系,在一定条件下,证明了横向和纵向分解子问题的最优解可构成大系统问题的最优解.The authors adopted ＂bidirectional decomposition＂ to decompose the large scale goal programming model with trapezoidal structure into several subproblems.Then the relations of their optimal 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 optimal solutions of transverse and longitudinal subproblems consist of the large scale problem＇s optimal solutions.

关 键 词：大系统 目标规划模型 梯形结构 双向分解 

分 类 号：O221.6[理学—运筹学与控制论]