| 线性多级规划的最优性条件和基本性质 |
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| 引用本文： | 阮国桢. 线性多级规划的最优性条件和基本性质[J]. 系统科学与数学, 1998, 18(2): 159-166 |
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| 作者姓名： | 阮国桢 |
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| 作者单位： | 湘潭大学数学系!湖南，411105，湘潭大学数学系!湖南，411105 |
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| 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．
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| 关 键 词： | 线性规划 决策 线性多级规划 容许集 可行集 |
THE OPTIMALITY CONDITIONS AND PROPERTIES OF LINEAR MULTILEVEL PROGRAMMING PROBLEM |
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| Ruan Guozhen,Zuo Xiaobo. THE OPTIMALITY CONDITIONS AND PROPERTIES OF LINEAR MULTILEVEL PROGRAMMING PROBLEM[J]. Journal of Systems Science and Mathematical Sciences, 1998, 18(2): 159-166 |
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| Authors: | Ruan Guozhen Zuo Xiaobo |
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| Affiliation: | (Department of Mathematics, Xiangtan University, Hadal Xiangtan, 411105) |
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| Abstract: | 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. |
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| Keywords: | Linear programming decision-making linear multilevel programming |
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