基于MATLAB的多目标规划问题的理想点法求解  

Research on the Ideal Point Method of Multi-objective Programming Based on MATLAB

作　　者：杨伍梅[1] 刘陶文[2] YANG Wumei LIU Taowen(Department of Basic Courses, Yiyang Vocational and Technical College, Yiyang, Hunan 413049, China School of Mathematics and Econometrics, Human University, Changsha, Hunan 410012, China)

机构地区：[1]益阳职业技术学院基础课部,湖南益阳413049 [2]湖南大学数学与计量经济学院,长沙410012

出　　处：《湖南城市学院学报（自然科学版）》2017年第4期60-63,共4页Journal of Hunan City University:Natural Science

基　　金：湖南省教育厅科研项目(15C1382)

摘　　要：针对生产、经济活动等实际中常见的多目标规划问题,在对现有的多目标优化方法进行一些比较的基础上,重点对理想点法的基本思想、特点及发展过程进行了探究,并就工厂采购这类多目标规划的实际问题采用理想点法进行模型的构建、转化和求解,然后用MATLAB软件对此问题进行了具体计算和结果分析﹒结果表明这类方法具有非常简单、实用、高效的特点,在实际应用中具有一定的优越性﹒The common multi-objective programming problems in production and economic activities are analyzed in this paper. The basic idea, feature and development process of the ideal point method on the basis of comparing, the exising multi-objective optimizing methods are investigated. Based on the ideal point method, the model construction, transformation and solution of the multi-objective planning of the factory procurement are executed, and then the problem is calculated and analyzed with MATLAB. Experimental results show that the proposed method is simple, practical and highly efficient, and outperforms the classical multi-objective programming methods.

关 键 词：多目标规划 评价函数法 理想点法 MATLAB 

分 类 号：O1[理学—数学]