基于变权综合的多目标规划均衡解  

The Equilibrium of Multi-objective Programming Based on Variable Weight Synthesis

作　　者：余高锋[1] 刘文奇[2] 

机构地区：[1]三明学院信息工程学院物联网应用福建省高校工程研究中心,福建三明365004 [2]昆明理工大学理学院,云南昆明650093

出　　处：《数学的实践与认识》2013年第16期225-230,共6页Mathematics in Practice and Theory

基　　金：福建省教育厅高等学校教学质量工程资助项目(ZL09021TZ(SJ));科技部科技型中小企业技术创新基金项目(11C26215305906);福建省大学生创新创业训练计划项目(201311311023)

摘　　要：研究多目标规划的求解问题,提出了一种新的基于变权综合求解方法.用变权综合理论提出了惩罚性均衡解,并且证明了它是多目标规划有效解,并且给出求解均衡有效解的步骤.通过实际例题表明,该方法是正确有效解决了多目标规划问题,与线性加权法和平方加权和法相比而言,具有较好的综合均衡性能.Aiming at the solving of the multi-objective weight programming,this paper pro- posed multi-objective programming method based on variable weight synthesis.Firstly, the punitive and balanced solution to multi-objective programming is introduced with variable weight synthesis method ,and proved it to be the non-inferior solutions of multi-objective pro- gramming,the steps of solution was introduced. The example shows that the proposed method is correct and effective, and has the better synthetical performance of equilibrium compared with the linear weighted summation and square weighted summation.

关 键 词：多目标规划 变权综合问题 均衡解 

分 类 号：O221.6[理学—运筹学与控制论]