| 二层凸规划的基本性质 |
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| 引用本文： | 王先甲,冯尚友.二层凸规划的基本性质[J].应用数学,1995,8(3):283-288. |
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| 作者姓名： | 王先甲 冯尚友 |
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| 作者单位： | 武汉水利电力大学，武汉水利电力大学 武汉 430072，武汉 430072 |
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| 基金项目： | 国家自然科学基金，国家教委博士点科学基金，浙江大学工业控制技术国家重点实验室资助项目 |
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| 摘 要： | 本文研究了一类抛述二层决策问题的二层数学规划模型，在一定条件下讨论了下层极值函数和上层复合目标函数的凸性和连续性，给出了二层决策问题优决策的存在条件。
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| 关 键 词： | 二层规划 凸性 连续性 二层决策 数学规划 |
Basic Properties of Convex Two-level Programming |
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| Wang Xianjia Feng Shangyou.Basic Properties of Convex Two-level Programming[J].Mathematica Applicata,1995,8(3):283-288. |
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| Authors: | Wang Xianjia Feng Shangyou |
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| Abstract: | In this paper, a two-level mathematical programming model, which describes a set of two-level decision making problems,is considered. Convexity and continiuty of optimal value function at the lower-level and composite objective function at the upper-level are discussed by using the concept of point-to-set maps. An existence condition of optimal decision making for the two-level decision making problems is given by using the method of recession direction. |
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| Keywords: | Two-level mathematical programming Convexity Continuity Optimal decision making |
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