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单调化与极大熵相结合解非单调规划问题 被引量：3

Solving Non-monotonic Programming Problems with Monotonization Method Combined with Maximal Entropy Method
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摘要 对约束函数单调而目标函数非单调的规划问题,给出了目标函数的一种新的单调化变换公式。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规划问题。再将转化后的只有一个约束的规划问题转化为一个单调规划问题,并证明了其等价性。 This paper deals with some non-monotonic programming problems with monotonic constraints . Firstly, a nonlinear programming problem with multiple constraints can be converted into a programming problem with single constraint via maximum entropy function. Secondly, we give a monotonic transformation for the converted single programming problem and prove the equivalence between the converted monotone programming problem and the programming problem with single constraint.
作者 朱国会
机构地区 重庆师范大学数学与计算机科学学院
出处 《重庆师范大学学报（自然科学版）》 CAS 2005年第2期24-26,共3页 Journal of Chongqing Normal University:Natural Science
基金 国家自然科学基金(NO.10171118) 重庆市教委基金项目(030809)
关键词 非单调规划 极大熵函数 单调化 non-monotonic programming maximum entropy function monotonization
分类号 O221.2 [理学—运筹学与控制论]
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参考文献12

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二级参考文献15

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共引文献185

同被引文献23

引证文献3

二级引证文献6

重庆师范大学学报（自然科学版）
2005年 第2期

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