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

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.