标题:
求解一类凸多目标规划最小弱有效解的填充函数法A Filled Function Method of Finding Weak Efficient Mi-nimizer for Convex Multi-Objective Optimization
作者:
张莹, 徐应涛
关键字:
运筹学, 多目标规划, 填充函数, 局部极小点, 全局极小点Operations Research; Multi-Objective Programming; Filled Function; Local Minimizer; Global Minimizer
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
摘要:
针对一类目标函数为凸向量值函数且约束为箱子集的多目标规划，先利用线性加权和法将其转化为非凸单目标规划，再利用填充函数法求得该单目标规划的全局最优解，从而得到原规划的最小弱有效解。To a kind of multi-objective optimization problem, which objective function is convex vector function and which constraints are box sets, firstly we use linear weighted method to turn it into nonconvex single-objective optimization problem, secondly we get the global minimizer of the single-objective optimi-zation problem by implying the filled function method, then we attain the weak efficient minimizer of the prime multi-objective optimization problem.