| 三参数线性规划最优基的稳定性分析 |
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| 引用本文： | 简金宝. 三参数线性规划最优基的稳定性分析[J]. 数学研究及应用, 1993, 13(4): 605-610 |
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| 作者姓名： | 简金宝 |
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| 作者单位： | 广西大学数学与信息科学系 |
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| 摘 要： | 在这篇文章里我们研究一种含三个参数的线性规划最优基的稳定性.得出了最优基的稳定性及二维稳定性的一些较好的结果和最优基稳定的充要条件,并给出了原始、对偶问题的最优解和最优值的级数表达式.避免了计算逆矩阵的巨大工作.文中结果推广了诸如Robert M.FREUND等许多前人的结论.
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| 关 键 词： | 线性规划 最优基 稳定性 |
| 收稿时间： | 1991-05-06 |
Stability Analysis for Optimal Basis of Three Parametric Linear Programming |
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| Jian Jinbao. Stability Analysis for Optimal Basis of Three Parametric Linear Programming[J]. Journal of Mathematical Research with Applications, 1993, 13(4): 605-610 |
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| Authors: | Jian Jinbao |
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| Affiliation: | Dept. of Math.; Guangxi University; Nanning |
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| Abstract: | In this paper, we study the stability of optimal basis for a paramtric programming con-taining three parameters. Some better results for stability and two-dimensional stability for optimal basis and necessary and sufficient conditions for the stability of optimal basis are given. The progression forms of the primal and dual optimal solutions and optimal value are derived. Some predecessor's results as Robert M. FREuND are generalized by the results. |
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