摘要
本文讨论了一类以下级目标函数最优值为反馈的线性三级递阶优化问题 .按照参数规划的方法给出了可行集、最优解等概念 .得到了可行集的弱拟凸性、连通性等性质 。
In this paper, mathematical model of objective function controlled three levels linear programming, which is always known as a hierarchical planning problem, is given. By the methods of parametric programming, we define the concepts of feas ible region, optimal solution etc. We also prove that the feasible region is wea kly quasi- convex and connected with assumption that the constrained set is boun ded and nonempty.
出处
《应用数学》
CSCD
2000年第1期40-43,共4页
Mathematica Applicata
