| 带有向量参数的参数线性规划解的连续性 |
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| 引用本文： | 闻人凯.带有向量参数的参数线性规划解的连续性[J].上海师范大学学报(自然科学版),1993(3). |
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| 作者姓名： | 闻人凯 |
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| 作者单位： | 华东师范大学成人教育学院 |
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| 摘 要： | 本文证明了参数线性规划 P(λ,μ,θ):min{c~T(λ)x|A(μ)x=b(θ),x≥0}当μ,λ不出现,b(θ)=b_1+F_θ,b_1∈R~m,F 是 m×t 矩阵,θ∈R~t 时,最优顶点集 VS(θ)是下半连续的,还给出了当μ,θ不出现,c(λ)=c_1+H_λ,c_1∈R~n,H 为 n×r 矩阵,λ∈R~r 时,最优顶点集 VS(λ)下半连续的充分必要条件。
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| 关 键 词： | 参数线性规划 参数线性规划解的连续性 |
Discussion on the Continuity of Parametric LP with Vector Parameter |
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| WEN RENKAI.Discussion on the Continuity of Parametric LP with Vector Parameter[J].Journal of Shanghai Normal University(Natural Sciences),1993(3). |
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| Authors: | WEN RENKAI |
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| Institution: | College of Adult Education |
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| Abstract: | This paper shows that,for parametric linear programs with vector parametric in the right side of the constraints,the solution set is a lower semi-continuous point to set mapping.This paper also gives a sufficient and necessary conditions, for the parametric linear programs with vector parametric in the objective,of the solution set being a lower semi-continuous point to set mappping. |
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| Keywords: | parametric linear program continuity of solution of parametric linear program |
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