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一类分式双层规划的解及其性质 被引量:4

Solutions and properties of fractional bilevel programming
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摘要 讨论一类双层规划:第一层中的目标函数是分式且约束是线性的,第二层是带参数的线性规划。给出了这类双层规划具有恰当罚函数的充要条件,以及这类问题的解的一些性质。 This paper dealt with the fractional bilevel program whose the objective function in the first Ievel is fractional and the constraints are linear inequalities, and the second level is a linear program with parameters. The paper proposed a sufficient and necessary condition for the problem to admit an exact penalty function approach. Relative properties were also presented.
作者 刘建贞 张莹
出处 《浙江师范大学学报(自然科学版)》 CAS 2003年第3期229-232,共4页 Journal of Zhejiang Normal University:Natural Sciences
关键词 分式双层规划 目标函数 线性规划 恰当罚函数 分式函数 线性函数 极点 bilevel programming exact penalty function approach fractional function linear function extreme points
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参考文献7

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  • 2徐增堃.一类双层规划的恰当罚函数的存在性[J].浙江师大学报(自然科学版),1999,22(3):1-7. 被引量:2
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二级参考文献2

共引文献5

同被引文献23

  • 1赵茂先,高自友.双层线性规划的一个全局优化方法(英文)[J].运筹学学报,2005,9(2):57-62. 被引量:13
  • 2徐增.关于恰当罚函数的注记[J].浙江师大学报(自然科学版),1995,18(1):1-4. 被引量:5
  • 3White D J,Anandalingam G.A Penalty Function Approach for Solving Bilevel Linear Programs[J].J Global Optim,1993,3(2):397-419.
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  • 6Xu Z K.Deriving the Properties of Linear Bilevel Programming via a Penalty Function Approach[J].J Optim Theory Appl,1999,103(2):441-456.
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  • 9Xu Z K.Deriving the properties of linear bilevel programming via a penalty function approach[J].J Optim Theory Appl,1999,103(2):441-456.
  • 10Bilas C E,Wayne F,MarkHK.Two Level Linear Programming[J].Management Sci,1984,30(8):1004-1020.

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