关于多目标规划与其约束双目标规划的一些结果

Some results on the non-inferior relations between the multiobjective mathematics programming and its restrain double objectives programming

本文将ε约束规划 P_k(ε) minf_k(χ)与 VOP min(f_1(χ),f_2(χ),…,f(χ))~T χ∈Χ 其中 ΧR^n,f_i:Χ→R(i=1,2,…,P)的一些结果推广到P_(ki)(ε) min(f_k(χ),f_i(χ))~T 与多目标规划vop的关系上。从而对求解多目标数学规划的非劣解有所帮助,对多目标算法的设计结构有所推动。另外还将此结论推到更广的凸似函数类上。

In this paper, the relations about the non-inferior solutions between the double objectives ?restrain mathematics programming,that is and the multiobjective mathematics programming, that isare discussed. So it is helpful for searching, non-inferior solutions of vop, and it would promote the development of vop algorithm of non-inferior solutions. The conclusion has been done for the larger class functions.