| 一类概率约束规划逼近最优解集的上半收敛性 |
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| 引用本文： | 冯爱萍,霍永亮.一类概率约束规划逼近最优解集的上半收敛性[J].纯粹数学与应用数学,2007,23(2):197-200,204. |
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| 作者姓名： | 冯爱萍 霍永亮 |
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| 作者单位： | 榆林学院数学系,陕西,榆林,719000;榆林学院数学系,陕西,榆林,719000 |
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| 基金项目： | 陕西省教育厅资助项目，榆林学院高层次人才科研启动基金 |
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| 摘 要： | 对一类概率约束规划逼近最优解集的上半收敛性进行了研究.利用概率测度弱收敛的特征,给出了概率约束规划可行集的收敛性条件,得到了概率约束规划逼近最优解集的上半收敛性.
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| 关 键 词： | 概率约束规划 最优解集 正则条件 概率测度弱收敛 上半收敛性 |
| 文章编号： | 1008-5513（2007）02-0197-04 |
| 修稿时间： | 2005-04-18 |
The upper semiconvergence of optimal solution set of approximations for a class of probabilistic constrained programs |
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| FENG Aiping,HUO Yongliang.The upper semiconvergence of optimal solution set of approximations for a class of probabilistic constrained programs[J].Pure and Applied Mathematics,2007,23(2):197-200,204. |
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| Authors: | FENG Aiping HUO Yongliang |
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| Abstract: | To study upper semiconvergence of optimal solution set of approximations for a class of probabilistic constrained programs. By using characteristic of weak convergence of probability measures, the convergence condition of feasible set for stochastic constrained progranning is presented. The upper semiconvergence of optimal solution set of approx-imations for probabilistic constrained programs is obtained. |
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| Keywords: | Probabilistic constrained programs optimal solution set regularity condition weak convergence of probability measures upper semiconvergence |
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