| 基于复值神经网络的分式规划问题 |
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| 引用本文： | 张雷,王利敏,李小兵.基于复值神经网络的分式规划问题[J].西南师范大学学报(自然科学版),2019,44(5):1-6. |
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| 作者姓名： | 张雷 王利敏 李小兵 |
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| 作者单位： | 重庆交通大学经济与管理学院;重庆交通大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金项目（11501065，11401061）；重庆市基础与前沿研究计划项目（cstc2015jcyjBX0131，cstc2015jcyjA00033）；重庆市教委项目（KJ1600504，KJ1600512）；重庆交通大学自然科学基金校内培育项目（2018PY22）. |
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| 摘 要： | 研究了利用复数神经网络解决带有区间约束条件的复变量非线性分式规划问题,提出的神经网络模型关于问题的可行解具有全局稳定性.对模型平衡点的存在性和稳定性给出了详细推导和证明.最后通过数值例子证实了该模型的可靠性和有效性.
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| 关 键 词： | 复值神经网络 非线性分式规划 平衡点 全局稳定性 |
| 收稿时间： | 2017/2/16 0:00:00 |
Complex Variable Nonlinear Fractional Programming Problems Based on Complex-Valued Neural Network |
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| ZHANG Lei,WANG Li-min,LI Xiao-bing.Complex Variable Nonlinear Fractional Programming Problems Based on Complex-Valued Neural Network[J].Journal of Southwest China Normal University(Natural Science),2019,44(5):1-6. |
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| Authors: | ZHANG Lei WANG Li-min LI Xiao-bing |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, China;2. College of Economics and management, Chongqing Jiaotong University, Chongqing 400074, China |
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| Abstract: | The solution of complex nonlinear fractional programming problem with interval constraints has been studied in this paper by means of the complex neural network, feasible solutions about the problem of global stability of the equilibrium have been proposed with the neural network model, and points for the existence and stability have been deduced and proved. Finally, a numerical example is given to demonstrate the reliability and effectiveness of the proposed model. |
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| Keywords: | complex-valued neural networks nonlinear fractional optimization equilibrium global convergence |
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