摘要
本文研究的线性多级规划模型比较一般化,容许集可以是无界的,每级的目标函数可以与各下级控制的决策变量有关.我们得到了这类多级规划的一组最优性充要条件,利用这组条件推导了各级可行集的弱拟凸性、连通性等几何性质.作为应用订正了Bard的一个例题.
in this paper a model for the linear multilevel programming problem is presented, where the permissible solution set may be unbounded, and each planner's objectivemay be related to the decision variables of lower levels. A necessary and sufficient conditionfor optimality is obtained, and the geometrical properties of each planner's feasible set are alsodiscussed.
出处
《系统科学与数学》
CSCD
北大核心
1998年第2期159-166,共8页
Journal of Systems Science and Mathematical Sciences
关键词
线性规划
线性多级规划
最优性条件
容许集
Linear programming, decision-making, linear multilevel programming