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| 非线性规划的一种基于极大熵函数的单调化方法 | |
| 引用本文： | 李会荣,高岳林,林洪伟.非线性规划的一种基于极大熵函数的单调化方法[J].河南师范大学学报(自然科学版),2009,37(1). |
| 作者姓名： | 李会荣 高岳林 林洪伟 |
| 作者单位： | 1. 北方民族大学信息与系统科学研究所,银川,750021;商洛学院数学与计算科学系,陕西,商洛,726000 2. 北方民族大学信息与系统科学研究所,银川,750021 3. 西安电子科技大学理学院,西安,710071 |
| 摘 要： | 对约束函数单调而目标函数非单调的非线性规划问题,给出了目标函数的一种积的形式的单调化变换公式,首先引入极大熵函数,将多个约束的非线性规划问题,转化为只含一个约束的非线性规划问题,再将转化后的只有一个约束的非线性规划问题转化为一个单调规划问题,最后证明了等价性. |
| 关 键 词： | 非线性规划 非单调规划 单调化 极大熵函数 全局最优解 |
A Monotonous Method Based On Maximal Entropy Function In Nonlinear Programming |
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| LI Hui-rong,GAO Yue-lin,LIN Hong-wei.A Monotonous Method Based On Maximal Entropy Function In Nonlinear Programming[J].Journal of Henan Normal University(Natural Science),2009,37(1). | |
| Authors: | LI Hui-rong GAO Yue-lin LIN Hong-wei |
| Institution: | 1.Research Institute of Information and System Science;North National University;Yinchuan 750021;China;2.Department of Mathematics and Computer Science;Shangluo University;Shangluo 726100;3.School of Science;Xidian University;Xi'an 710071;China |
| Abstract: | This paper gives a monotonic transformation of objective function's product form deal with some non-monotonic programming problems with monotonic constraints.Firstly,a nonlinear programming problem with multiple constraints is converted into nonlinear programming problem with single constraints by maximum entropy function.Secondly,nonlinear programming problem with single constraint is converted into a monotonic programming problem and the equivalence between converted monotonic programming problem and the ... |
| Keywords: | nonlinear programming non-monotonic programming monotonization maximum entropy function global optimal solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |