| —种求解线性二层规划的神经网络方法 |
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| 引用本文： | 周秀君.—种求解线性二层规划的神经网络方法[J].青海师范大学学报(自然科学版),2011,27(1):9-12. |
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| 作者姓名： | 周秀君 |
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| 作者单位： | 广东纺织职业技术学院基础部,广东佛山,528041 |
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| 摘 要： | 提出了—种求解线性二层规划的神经网络方法.采用以下层问题的对偶间隙为罚项,构造线性二层规划罚问题的思想,将线性二层规划转化成相应的单层规划问题,然后设计求解单层规划问题的神经网络模型,从而得到线性二层规划的最优解.该网络是Lyapunov稳定的,且在适当的条件下收敛于线性二层规划的最优解,仿真结果表明该神经网络可以有效地得到线性二层规划的最优解.
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| 关 键 词： | 线性二层规划 神经网络 最优解 |
Neural Network for Solving Linear Bilevel Programming |
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| ZHOU Xiu-jun.Neural Network for Solving Linear Bilevel Programming[J].Journal of Qinghai Normal University(Natural Science Edition),2011,27(1):9-12. |
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| Authors: | ZHOU Xiu-jun |
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| Institution: | ZHOU Xiu-jun(Guangdong Textile Vocational Technical College,Foshan 528041,China) |
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| Abstract: | A novel neural network is presented for solving linear bilevel programming problems.The proposed neural network is proved to be Lyapunov stable and capable of generating optimal solution to the linear bilevel programming problems.The asymptotic properties of the neural network are analyzed and the condition for asymptotic stability,solution feasibility and solution optimality are derived.The transient behavior of the neural network is simulated and the validity of the network is verified with numerical exam... |
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| Keywords: | bilevel programming linear bilevel programming neural network optimal solution |
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