| 区间线性规划的标准型及其求解 |
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| 引用本文： | 郭均鹏,吴育华.区间线性规划的标准型及其求解[J].系统工程,2003,21(3):79-82. |
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| 作者姓名： | 郭均鹏 吴育华 |
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| 作者单位： | 天津大学,管理学院,天津,300072 |
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| 摘 要： | 定义区间线性规划的标准型，给出一种反映决策者满意度的区间数序关系，基于此将区间不等式约束转化为确定型约束；讨论区间等式约束的含义并将其化为确定型不等式约束。在此基础上将区间线性规划转化为一个确定型线性规划并进行求解。最后给出一个算例。
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| 关 键 词： | 区间线性规划 标准型 运筹学 序关系 目标函数 |
| 文章编号： | 1001=4098(2003)03-0079-04 |
Standard Form of Interval Linear Programming and Its Solution |
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| GUO Jun-peng,WU Yu-hua.Standard Form of Interval Linear Programming and Its Solution[J].Systems Engineering,2003,21(3):79-82. |
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| Authors: | GUO Jun-peng WU Yu-hua |
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| Abstract: | A standard form of interval linear programming was first defined. Then an order relation between interval numbers was proposed, by which inequality constraints of IvLP could be transformed into constraints with exact coefficients. In the following equality constraints of IvLP were studied and were converted into inequality constraints with exact coefficients. As a result an IvLP was transformed into an exact linear programming and could be solved. Finally an example was given. |
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| Keywords: | Interval Linear Programming(IvLP) Standard Form Interval Number Order Relation Exact Linear Programming |
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