摘要
以人造卫星仪器舱布局为例,应用图论、群对集合的作用、轨道与等价关系等刻划各种布局方案的同构、等价类等内在性质,从而首次给出带有性能约束二维布局问题的一种全局优化算法.
The layout problem about satellite cabin is studied as an example of the layout problems with behaviour constraints in the paper. And graph theory, group acting on sets, orbit and equivalent relation are used to discuss the isomorphism, equivalence and other inner properties of all sorts of layout schemes. Finally, a global optimization algorithm for two dimensional layout problems with behaviour constraints is constructed for the first time based on the discussion.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1999年第1期98-104,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
关键词
人造卫星
全局优化算法
仪器舱
布局问题
Satellite, Layout, Optimization Algorithm, Symmetric Group, Equivalent Relation, Isomorphism.