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一种求解带等式约束的二次规划问题的新神经网络模型
引用本文:叶大振,夏又生,吴新余. 一种求解带等式约束的二次规划问题的新神经网络模型[J]. 电子与信息学报, 1996, 0(Z1)
作者姓名:叶大振  夏又生  吴新余
作者单位:南京邮电学院函授部,南京邮电学院基础课部,南京邮电学院基础课部 南京 210003,南京 210003,南京 210003
摘    要:本文提出了一种新的神经网络模型用以求解带等式约束的二次规划问题。本模型大大改进了Shenguei zhang等人(1992)给出的二阶神经网络。后者的结构复杂,且只适用于求解具有唯一最优解的情况,而不能求解最优解为无界集合的情形。与它相比,本文提出的新神经网络模型不仅能够精确求解具有唯一最优解的情况,而且还能实时求解最优解集合为无界的情况,此外,在结构上也大为简化,易于电路实现。

关 键 词:二次规划  神经网络  全局优化

A NEW MODEL OF NEURAL NETWORK FOR SOLVING THE QUADRATIC PROGRAMMING WITH EQUALITY CONSTRAINTS
Yue Dazhen Xia Yousheng Wu Xinyu. A NEW MODEL OF NEURAL NETWORK FOR SOLVING THE QUADRATIC PROGRAMMING WITH EQUALITY CONSTRAINTS[J]. Journal of Electronics & Information Technology, 1996, 0(Z1)
Authors:Yue Dazhen Xia Yousheng Wu Xinyu
Abstract:A new model of neural network for solving quadratic programming problems is given. It is shown that the new model improves greatly the second-order neural network proposed by Shenguei Zhang et al.(1992), which is not only complicated in structure, but also limited to the problems with unique solution.Compared with the latter, the new network is easy to construct with circuits,capable of achieving the exact solution and can solve the problems with unbounded solution set as well as the problems with unique solution.
Keywords:Quadratic programming   Neural network   Optimization problem
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