| 一般形式线性分式规划解集的结构与求法 |
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| 引用本文： | 薛声家,韩小花. 一般形式线性分式规划解集的结构与求法[J]. 暨南大学学报(自然科学与医学版), 2006, 27(5): 646-651 |
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| 作者姓名： | 薛声家 韩小花 |
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| 作者单位： | 暨南大学企业管理系,广东,广州,510632;暨南大学企业管理系,广东,广州,510632 |
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| 基金项目： | "211工程"项目 |
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| 摘 要： | 使用多面集的分解定理,导出一般形式线性分式规划解集的结构,并基于有效的算法,给出解的唯一性条件以及当唯一性条件不满足时确定解集的计算步骤.同时附有数值例子.
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| 关 键 词： | 一般形式线性分式规划 分解定理 解集 极点解 解极方向 |
| 文章编号： | 1000-9965(2006)05-0646-06 |
| 收稿时间： | 2005-12-26 |
| 修稿时间： | 2005-12-26 |
The structure and search procedure of solution sets of linear fractional programming in general form |
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| XUE Sheng-jia,HAN Xiao-hua. The structure and search procedure of solution sets of linear fractional programming in general form[J]. Journal of Jinan University(Natural Science & Medicine Edition), 2006, 27(5): 646-651 |
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| Authors: | XUE Sheng-jia HAN Xiao-hua |
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| Affiliation: | Department of Business Administration, Jinan University, Guangzhou 510632, China |
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| Abstract: | With the decomposition theorem of polyhedral sets,structure of the solution set of linear fractional programming in general form is derived.Based on an effective algorithm,the uniqueness condition of the solution is given.Computational procedure for determining the solution set is also shown when the uniqueness condition is not satisfied.Some numerical examples are also given. |
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| Keywords: | linear fractional programming in general form decomposition theorem solution set extreme point solution solution extreme direction |
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