单调化与极大熵相结合解非单调规划问题  

Solving Non-monotonic Programming Problems with Monotonization Method Combined with Maximal Entropy Method

作　　者：朱国会[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《重庆师范大学学报（自然科学版）》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)

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.

关 键 词：非单调规划 极大熵函数 单调化 

分 类 号：O221.2[理学—运筹学与控制论]