| 线性规划问题的无界最优解 |
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| 引用本文： | 司成功 刘心报. 线性规划问题的无界最优解[J]. 安徽工学院学报, 1989, 8(2): 61-72 |
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| 作者姓名： | 司成功 刘心报 |
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| 作者单位： | 安徽工学院管理工程系，安徽工学院管理工程系 |
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| 摘 要： | 本文指出了有些LP问题的最优解集是无界的,这就称为LP问题存在无界最优解。还讨论了LP问题存在无界最优解的若干充要条件。并证明了有些最优解不能表示成基本最优解的凸组合。最后证明了一个解是最优解的充要条件。
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| 关 键 词： | 线性规划 规划论 无界最优解 |
UNBOUNDED OPTIMAL SOLUTION OF LP PROBLEMS |
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| Si Chenggong;Liu Xinbao. UNBOUNDED OPTIMAL SOLUTION OF LP PROBLEMS[J]. , 1989, 8(2): 61-72 |
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| Authors: | Si Chenggong Liu Xinbao |
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| Affiliation: | Si Chenggong;Liu Xinbao |
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| Abstract: | In this paper, point out that some of optimal solution set of linear progra-mming problems are unbonnded, which are called as unbonnded optimal solution,We discuss a number of necessary and sufficient conditions which exist for un-bounded optimal solution of a linear programming problem, and prove that someof optimal solutions cann't be expressed as basic optimal solutiou couvex combeination, Finally, a necessary and sufficient condition is proven undor which asolution is optimal. |
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| Keywords: | linear programming unbounded optimal solution |
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