分层多目标优化的区间算法  

The interval algorithm for stratified multi-objective optimization

作　　者：李苏北[1] 王海军[2] 宋协武[2] 

机构地区：[1]徐州工程学院数理学院,江苏徐州221008 [2]中国矿业大学理学院,江苏徐州221008

出　　处：《合肥工业大学学报（自然科学版）》2008年第11期1915-1917,共3页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60575046);江苏省高校自然科学研究基金资助项目(05KJD110202)

摘　　要：文章根据分层多目标优化的基本原理,结合区间分析的方法,提出了求解约束分层多目标规划问题的区间算法,克服了传统算法中存在的评价函数选取难和有效解可选性差的缺点,证明了算法的收敛性,给出了数值算例。In this paper, the interval algorithm for solving constrained stratified multi-objective optimization is presented based on the basic principles of the stratified multi-objective optimization and the interval analysis. The algorithm effectively overcomes the shortcomings of the traditional method such as the difficulty of selecting the evaluation function and the poor optional features of the effective solution. Numerical results are presented, which shows that the algorithm is convergent, reliable and efficient.

关 键 词：分层多目标优化 区间算法 数学模型 

分 类 号：O221.7[理学—运筹学与控制论]