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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
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)
关键词
大系统
目标规划模型
梯形结构
双向分解
large scale
goal programming model
trapezoidal structure
bidirectional decomposition
