微分方程在多目标规划中的应用

The Applications of Differential Equations in Multi-Objective Programming

本文利用微分方程对一般多目标优化问题及其约束条件进行了讨论,指出在一定条件下,从问题(1)的任一可行解的某邻域内出发,沿微分方程组(3)的轨线,关于部分变元总收敛到问题(1)的可行解。

In reference[2],a new method is presented for fiuding the pareto points of the multi-ob- jective programming.Moreover,the discussion about general the M.O.P and its constraints is continued by the differential equations in this paper.It is proved that the solutions starting from the neighborhood of a feasible point converge to a feasible point.