| 双线性分式交叉规划的等价形式 |
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| 引用本文： | 丁梅,马建华. 双线性分式交叉规划的等价形式[J]. 中国管理科学, 2002, 10(4): 39-42 |
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| 作者姓名： | 丁梅 马建华 |
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| 作者单位： | 山东大学数学与系统科学学院, 山东济南, 250100 |
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| 基金项目： | 国家自然科学基金资助项目(79790130) |
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| 摘 要： | 考虑双线性分式交叉规划,将双线性分式交叉规划转化为线性交叉规划,再借助同参规划组转化为多目标规划,讨论交叉规划的均衡解与多目标规划的最优解的关系。
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| 关 键 词： | 双线性分式交叉规划 线性交叉规划 同参规划组 多目标规划 均衡解 |
| 文章编号： | 1003-207(2002)04-0039-04 |
| 收稿时间： | 2001-06-08; |
| 修稿时间： | 2001-06-08 |
The Equivalence Programming of Bilinear Interaction Programming |
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| DING Mei,MA Jian-hua. The Equivalence Programming of Bilinear Interaction Programming[J]. Chinese Journal of Management Science, 2002, 10(4): 39-42 |
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| Authors: | DING Mei MA Jian-hua |
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| Affiliation: | College of Mathematics and System Science, Shandong University, Jianan 250100, China |
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| Abstract: | In this paper,we consider bilinear fractional interaction programming Firstly,we convert bilinear fractional interaction programming into linear interaction programming and then into programs group with the same variable,furthermore,we translate programs group with the same variable into multiobective programming.We prove the relation between bilinear fractional interaction programming’s equilibrium solution and multiobective programming’s optimum solution. |
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| Keywords: | bilinear fractional interaction programming linear interaction programming same variable programs group multiobective programming equilibrium solution |
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