非线性不等式与等式约束的多目标规划问题的区间极大熵方法  

A Interval Maximum-entropy Method for Multiobjective Optimization Problems of Nonliner Inequality and Equality constrain

作　　者：黄时祥[1] 

机构地区：[1]南京大学数学系

出　　处：《数学的实践与认识》2007年第5期83-88,共6页Mathematics in Practice and Theory

摘　　要：利用极大熵方法将带多个非线性不等式约束和多个非线性等式约束的多目标规划问题变为两个非线性不等式约束的单个可微的目标函数优化问题,并结合区间分析知识给出一种新的解决多目标规划问题的区间方法.Based on the maximum entropy principle, a new evaluation function method is given for solving multiobjective programming in this paper. Its characteristic is that it can transform a multiobjective programming with some nonliner inequal and some liner inequal constraints into a uniobjective programming with two nonliner inequal constraints. Combining with interval analysis method, we present a new kind of interval algorithms. The results of the numerical examples show the high efficiency and stability of these methods.

关 键 词：多目标规划 区间算法 极大熵函数 等式约束 

分 类 号：O221.6[理学—运筹学与控制论]