| 价格控制问题的基本性质 |
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| 引用本文： | 周水生,刘三阳.价格控制问题的基本性质[J].应用数学与计算数学学报,1998,12(2):53-58. |
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| 作者姓名： | 周水生 刘三阳 |
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| 作者单位： | 西安电子科技大学应用数学系，西安电子科技大学应用数学系 西安，710071，西安，710071 |
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| 摘 要： | 价格控制问题是一类重要的二层规划问题。最近,文3,4]讨论了价格控制问题的最优性条件和解集的性质。本文先用反例说明3]中关于价格控制问题的可行解的充分必要条件的一个命题是不确切的,并对4]中基于该命题证得的不可靠结论在适当条件下进行了证明。
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| 关 键 词： | 价格控制问题 二层规划 可行解 |
Basic Properties of the Price Control Problem |
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| SHUISHENG ZHOU,SANYANG LIU.Basic Properties of the Price Control Problem[J].Communication on Applied Mathematics and Computation,1998,12(2):53-58. |
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| Authors: | SHUISHENG ZHOU SANYANG LIU |
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| Abstract: | The price control problem is a kind of important Bilevel Linear Programming. Recently the optimality conditions and the properties of the solution set of the price control problem were discussed in papers 3,4]. In this paper, we show that a corollary on the necessary and sufficient condition for feasible solutions of the price control problem in 3] is not true by presenting a counterexample. Under proper conditions, we prove some important properties that had been proved in paper 4] based on the false corollary in 3]. |
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| Keywords: | price control problem bilevel programming feasible solution |
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