随机规划经验逼近问题最优解集的几乎处处下半收敛性  

The Lower Semiconvergence of Optimal Solutions Sets of Empirical Approximation Problems for Stochastic Programming

作　　者：霍永亮[1] 

机构地区：[1]重庆文理学院数学与统计学院,重庆402160

出　　处：《应用数学》2012年第1期220-223,共4页Mathematica Applicata

基　　金：重庆市教委基金资助项目(KJ091211)

摘　　要：本文给出了随机规划经验逼近最优解集几乎处处下半收敛的一个充分条件,并由此得到随机规划经验逼近最优解集几乎处处Hausdorff收敛的一个充分条件.In this paper,a sufficient condition of the almost everywhere lower semiconvergence of empirical approximate optimal solution sets for stochastic programs is studied,and making use of this result gives out a sufficient condition for almost everywhere Hausdorff convergence of empirical approximate optimal solution sets for stochastic programs.

关 键 词：随机规划 最优解集 几乎处处下半收敛性 几乎处处Hausdorff收敛 

分 类 号：O221.5[理学—运筹学与控制论]