| 具有(F,α,ρ,d)—凸的分式规划问题的最优性条件和对偶性 |
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| 引用本文： | 刘三明,冯恩民. 具有(F,α,ρ,d)—凸的分式规划问题的最优性条件和对偶性[J]. 数学的实践与认识, 2005, 35(12): 174-182 |
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| 作者姓名： | 刘三明 冯恩民 |
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| 作者单位： | 1. 江苏科技大学数理系,江苏,镇江,212003
2. 大连理工大学应用数学系,辽宁,大连,116024 |
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| 基金项目： | 国家自然科学基金项目(19871009) |
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| 摘 要： | 给出了一类非线性分式规划问题的参数形式和非参数形式的最优性条件,在此基础上,构造出了一个参数对偶模型和一个非参数对偶模型,并分别证明了其相应的对偶定理,这些结果是建立在次线性函数和广义凸函数的基础上的.
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| 关 键 词： | 分式规划 最优性条件 次线性函数 广义凸函数 对偶定理 |
| 修稿时间： | 2004-03-08 |
Optimality Conditions and Duality for a Class of Fractional Programming Problems with (F,α,ρ,d)-Convex Functions |
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| LIU San-ming,FENG En-min. Optimality Conditions and Duality for a Class of Fractional Programming Problems with (F,α,ρ,d)-Convex Functions[J]. Mathematics in Practice and Theory, 2005, 35(12): 174-182 |
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| Authors: | LIU San-ming FENG En-min |
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| Affiliation: | LIU San ming~1,FENG En min~2 |
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| Abstract: | In this paper,parametric and nonparametric optimality conditions for a class of nonlinear fractional programming problems are presented.Moreover,a parametric and a nonparametric duality models are constructed.Appropriate duality theorems are proved.These results are based on the properties of sublinear functions and generalized convex functions. |
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| Keywords: | fractional programming optimality conditions sublinear functions generalized convex functions duality theorems |
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